(medium C) which may have increased the nitrogen de mand on this medium. R. sinica shows great promise for the nursery industry, particulary as the attributes and uses of this plant become better known. Optimum growth of R. sinica occurred in those soil mixes typically used in the nursery industry. Growth in full-sun results in plants which are fuller and more compact than those produced in shade, but would require acclimatization prior to interior use. Use of this information can enable growers to improve control over plant development and increase efficiency in the produc tion of this plant. Literature Cited 1. American Public Health Association. 1971. Standard Methods for the Examination of Water and Waste Water 13th Edition 223:518-534. 2. American Public Health Association. 1985. Standard Methods for the Examination of Water and Waste Water. 16th Edition 417:374-403. Proc. Fla. State Hort. Soc. 99: 286-290. 1986. ECONOMIC ANALYSIS OF LABOR SAVING DEVICES IN NURSERY OPERATIONS D. R. Gilpin-Hudson, F. S. Zazueta, and A. G. Smajstrla Agricultural Engineering Department, IFAS University of Florida Gainesville, FL 32611 Additional index words. Costs, automation, mechanization, software, work measurement. Abstract. A method for economic investment decision analysis of labor saving devices is presented in this paper. The method involves performing a time study on the manual or presently used system. This includes: 1) evaluating the potential sav ings in time and its associated cost resulting from the new investment, and 2) using the investment indicators of net present value, internal rate of return, and real rate of return to evaluate the investment decision. The advantages of using these economic indicators include: 1) they account for a phenomenon known as the time value of money, 2) they provide figures in real and present terms, and 3) they allow for the comparison of investments with different depreciation periods. A software package has been developed based on this method that allows the user to evaluate labor saving devices in Florida's nursery industry. Labor Use and Evaluation in Nurseries The evaluation of labor saving devices in nurseries can be done through work measurement. Work measurement has grown from simple operation charting to time and mo tion study procedures, predetermined time techniques and systems, and now moves toward the broad interdisciplinary prediction of almost all major aspects of human perfor mance (10). The six fundamental uses for which work mea surement data are normally applied are: 1) prices (which includes direct labor costs), 2) cost control, 3) planning, 4) training, 5) evaluation, and 6) incentives. Jay (9) also recog nized eight techniques used for work measurement. One of these is time study which uses direct observation to pro duce normative rather than descriptive results. Time study is the most used technique for work measurement in indus try today (15). This technique is used to determine the time required by a qualified and well-trained person work ing at a normal pace to do a specified task (1). Niebel (12) concluded that the fundamental tools that result in in creased productivity are the tools of methods, time study, and wage payment. Work and time studies have been con ducted in Europe to establish norms for labor require ments in greenhouse production (5). The time study pro cedures used in this work are those outlined by Barnes (1). These methods are discussed in detail below. Florida's ornamental horticulture industry is of sub stantial size. Production in 1985 yielded $272 million in foliage plants alone (7). A major input to production of ornamentals in Florida is the cost of labor. Labor costs account for over 30% of the total cost of production in Florida's nurseries (16). A characteristic of any labor inten sive industry, such as the Florida nursery industry, is that production costs increase significantly with the cost of labor. This leads to reduced profits and additional suscep tibility to foreign competition. The increased use bf technology to reduce labor and other manual inputs is a way to control production costs. As this technology re quires financial investment, its costs and returns must be evaluated in order to make an investment decision based on an objective comparison of labor intensive systems to automated or mechanized systems. •Florida Agricultural Experiment Station Journal Series No. 7752. 286 Making a Time Study To evaluate a labor saving device it is necessary to know how much time will be saved by that device, or, in other words, how much time will be needed with and without the device. There are several methods used to estimate the amount of time it takes to do specific tasks. One such method is called the time study method. Time study is used to determine the time required by a qualified and well-trained person working at a normal pace to do a specified task. This time is called the standard time for the operation. The exact procedure used in mak ing time studies may vary somewhat depending upon the type of operation being studied and the application that is to be made of the data obtained. Barnes (1) stated, how ever, that these eight steps are usually required: 1) Secure and record information about the operation and operator being studied. This is to ensure that the study can be a source of useful information in the fuProc. Fla. State Hort. Soc. 99: 1986. 2) 3) 4) ture. Typical information consists of a plan of the working area, starting and ending points of the activ ity, and a timetable of the operating schedule. Divide the operation into elements and record a com plete description of the method. The standard time reached is only valid for this exact method. This may be important when making future comparisons. Observe and record the time taken by the operator. Perform a trial run to enable the estimation of the number of cycles to be timed. Determine the number of cycles to be timed. The fol lowing procedure is proposed: i) Take readings: (a) ten readings for cycles of two minutes or less; (b) five readings for cycles of more than two minutes. ii) Determine the range, R, of the measured time val ues. R is the high time value measured minus the low time value measured. iii) Determine X, as the average of all time values measured. iv) Determine R/X as the range divided by the aver age. v) 5) 6) From Table 1 determine the number of readings required to estimate the time for the given task with 95% confidence. vi) Continue to take readings until the total of the indicated number required is obtained. Check to make certain that a sufficient number of cycles have been timed. Rate the operator's performance. Rating is that process during which the time study analyst compares the per formance (speed or tempo) of the operator under ob servation with the observer's own concept of normal performance. The rating factor is usually expressed as a percentage, with normal performance equal to 100 percent. The rating factor is used to calculate the Nor mal Time as follows: Table 1. Number of time study readings required for 5% precision and 95% confidence level.2 R/X* Data from Sample of 5 .10 3 .12 .14 .16 .18 .20 4 6 R/X 10 2 2 3 .42 .44 .46 .48 .50 8 10 4 12 14 17 7 8 10 .26 20 11 .28 23 27 30 13 17 34 20 .36 38 .38 43 47 22 24 .62 .64 .66 .68 .70 27 .72 .22 .24 .30 .32 .34 .40 6 15 .52 .54 .56 .58 .60 Data from Sample of R/X 5 10 52 57 63 68 74 80 86 93 100 107 30 33 36 39 .74 .76 .78 42 46 49 53 57 61 .82 .84 .86 .88 .90 .92 114 65 121 129 137 145 153 69 74 .94 .96 78 .80 .98 1.00 Nt = t- An attempt can be made in the time study for normalcy and consistency in pace on the part of the person being observed. This can be arranged at the outset so that the operator can receive a constant rating of 100%. 7) Determine the allowances. The normal time for an op eration does not contain allowances for nonproductive periods. It is merely the time that a qualified operator would need to perform the job if he or she worked at a normal tempo. However, it is not expected that a person will work all day without some interruptions. Allowances for interruptions to production may be classified as follows: a) Personal allowance (2 to 5 percent, 5 percent is recommended for heavy work, particularly in a hot humid, atmosphere). b) Fatigue allowance. The problem of determining the amount of time to be allowed for rest is very complex. Time needed for rest varies with the in dividual, with the length of the interval in the cycle during which the person is under load, with the conditions under which the work is done, and with many other factors. From long experience, some companies have arrived at fatigue allowances which are shown in Table 2 and seem to be satisfac tory (1). c) % Activities 29 Handle 60-pound containers from skid waist-high to shoulder-high stack. Pull loaded 4-wheel truck under normal conditions. (Gross weight, 2500 pounds, 28 wheel diameter, 11 inches.) Walking on level carrying 75 pounds on shoulder. Push: loaded wheelbarrow (Weight of material, 350 pounds.) Push loaded 4-wheel truck. (Gross weight, 2000 pounds; wheel diameter, 11 inches.) Handle 40-pound containers from skid waist-high to shoulder-high stack. Handle 65-pound containers from skid waist-high to knee high stack. Use pick weighing 9 pounds to loosen new salt in R.R. car. Paint smooth ceiling from step-ladder using a 4-inch brush. Wet mop rough concrete floor. Dry-mop rough concrete floor. Saw a yellow pine 2" x 4" 18 across grain. Handle 30-pound containers from waist-high slide to skid. Pull loaded 4-wheel truck. (Gross weight, 1000 pounds; wheel diameter, 11 inches.) 5 23 209 218 229 239 250 261 273 284 296 93 98 103 108 113 119 125 131 19 17 138 143 149 156 162 169 15 13 83 88 zAfter Barnes (1). yR = range of time for sample, which is equal to high time study elemental value minus low time study elemental value. X = average time value of element for sample. (For +/- 10% precision and 95% confidence level, divide answer by 4.) Proc. Fla. State Hort. Soc. 99: 1986. Delay allowance. This is lost time which is inde pendent of the operator. Noncyclic elements that Table 2. Personal and fatigue allowances for different activities. 25 162 171 180 190 199 [1] where: Nt = normal time, t = selected time, and R = rating. Data from Sample of 10 R 100 10 Wet-mop wooden floor in good condition. Dry-mop wooden floor in good condition. Scrape dirt from wooden floor in good condition. (Handle 16 of scraper 60 inches long, blade 6 1/2 inches wide.). Walking on level carrying 25 pounds. Sweep rough concrete floor. Handle 20-pound containers from waist-high slide to skid. Wash window with wet rag or sponge, working from inside. Pull empty 4-wheel truck. (Weight, 400 pounds; 11 inch wheel.) 12 Op erate typewriter. Wipe top of desk or table to remove dust. Cut strings on bundles of containers. Walking on level unobstructed. Record data. 9 Make phone call. 7 Visual inspection and maintaining register for printed labels. 5 Personal allowance for men and women. 287 8) occur as a part of the job are not to be treated as delays but should be timed as part of the opera tion. Determine the standard time for the operation. The standard time is calculated as follows: St = NtlOO (100-A) [2] where: St = standard time, Nt = normal time, and A = allowance (from Table 2). When the time to be saved by a labor saving device has been found, it can be used in the determination of the economic feasibility of that device. Economic Analysis Investments in irrigation systems constitute a manage ment decision with respect to the costs and returns of each system (13). This requires enumeration of the capital items and associated returns (14). The importance of the size of costs and returns to investment decision making are quite obvious. Not so obvious, however, is the importance of the timing of these costs and returns. This importance of tim ing is relevant because of the phenomenon known as the time value of money. The time value of money means that a dollar given up today is not equivalent to a dollar received in the future as long as there exists the alternative of earning a positive return on the dollar during the interim. As money can always earn a positive return, the time dimension of a cap ital investment project is always of importance. The Net Present Value (NPV) method for considering the time value of money provides one economic criterion for accep tance or rejection of various investment alternatives (2, 8). In NPV analysis investors comparing two investments will select the project yielding the highest NPV. Barry et al. (2) described the method of calculating the NPV and Batliwalla (3) provided an analysis for the possible resulting values. Boggess and Amerling (4) used the NPV method as part of a bioeconomic simulation model to analyze the risks and returns of irrigation investments. In that analysis par ticular attention was paid to the impact of variation in wea ther patterns on the profitability of irrigation investments in humid regions. Biological crop-growth simulation mod els were used to generate dry-land and irrigated-crop yields based on a time series of historical weather data. These results were then incorporated into a net present value analysis and Monte Carlo simulation techniques were used to generate probability distributions of the net pres ent values. The Internal Rate of Return (IRR) measures invest ment worth by discounting the NPV to the present time; Real Rate of Return (RRR) is similar to IRR, except IRR includes an adjustment for the rate of inflation (11). The question of which is a better indicator of investment worth—NPV or IRR and RRR—is debatable due to a dif ference in the underlying assumptions. Levy and Sarnat (11) preferred to use the NPV which assumes reinvestment at the cost of capital, while Batliwalla (3) preferred the use 288 of the return rates which assume reinvestment at the re spective rates of return. Batliwalla (3) also questioned the wisdom of using only one economic indicator to evaluate investments. In this work the NPV, IRR and RRR methods are used. The standard time per day, the labor rate, and the number of days per year that this system operated are used to calculate the savings per year (Sn) as follows: S = St W N [3] where: S St W N = = = = Savings per year, standard time, wage, and number of days used per year. The value of these savings versus the costs associated with the control system was used to calculate the system's net present value (NPV), internal rate of return (IRR) and real rate of return (RRR). Calculation of the Net Present Value The equation used for the calculation of the NPV is: NPV = -Io-Mo + J2n where: Io Mo i n Vn [4] = = = = = initial capital investment, estimated maintenance cost, required real rate of return (as a decimal), number of years in the depreciation period, salvage value at the end of the depreciation period, and Sj = savings in year j. The size of the capital investment (Io) was determined from the bills of sale for components of the labor saving device. Maintenance cost (Mo) was estimated using guidelines relevant to the labor saving device. This is ex pressed as money set aside at the outset for this purpose. The nominal required rate of return (i) is the minimum rate of return on an investment which is acceptable to the investor. This is sometimes referred to as the cost of capital as it can be the interest rate on a borrowed sum or the rate receivable on an alternative investment. This nominal rate of return was then adjusted for the effect of inflation. The real required rate of return was found using the following equation (11): 1 +h [5] where the following variables are expressed in decimal form: Rr = required real rate of return, Rn = required nominal rate of return, and h = inflation rate. The length of depreciation period assumed in this analysis was five years. This is standard procedure for equipment in the nursery industry. Calculation of the Internal and Real Rates of Return The Internal Rate of Return (IRR) is another time dis counted measure of investment worth. The IRR is defined Proc. Fla. State Hort. Soc. 99: 1986. as that rate of discount which equates the present value of the stream of net receipts with the initial investment outlay (11). The IRR is therefore that discount rate which equates the net present value to zero. The Real Rate of Return (RRR) is the IRR which has been adjusted for the rate of inflation. Because uninflated savings were used in the cal culation of the NPV, the relevant equation yielded a real rate of return. The real rate of return by definition does not include the effects of inflation. The RRR was deter mined by iteration from the following equation: Mo+Io= RRR)! [6] where RRR is the Real Rate of Return and all other terms are as previously defined. The Internal Rate of Return (IRR) was calculated from the RRR using the following equation: IRR= (1 + RRR)(1 + h)- 1 [7] where: IRR = Nominal Internal Rate of Return RRR = Real Rate of Return, and h = inflation rate. The purpose of calculating a nominal rate of return (IRR) was to enable comparison to be made to other invest ments or required rates of return expressed in nominal terms. Discussion of Economic Results Assuming that reinvestments earn at a rate equal to the cost of capital, the fact that the investment has a positive NPV means that: 1) The initial cost of the device plus the estimated mainte nance cost will be returned by the investment. 2) The investment will earn the real (as opposed to the nominal) cost of capital per annum on the capital out standing. 3) A further amount will be returned by the investment. This amount constitutes "profit" and if discounted at the real cost of capital is equal to the NPV at the time the investment was made. If the assumption is made that the project's annual cash flow could be reinvested at the project's respective rates of return then the fact that the investment has a positive IRR and RRR indicates that: 1) In nominal terms this investment yields the IRR annu ally. 2) In real terms this investment yields the RRR annually. If the investment has return rates which are higher than the respective required rates of return it is an accept able investment. Comparisons with possible alternative in vestments allow investors to maximize profits. Several equations required in this method of economic analysis require cumbersome and repetitive calculations. For this reason computer software has been developed to facilitate the users of this method. a decision weather to install a computer control system tor automation of irrigation operations, or to carry out irriga tion by manually controlling the system (17). The following information needs to be collected in order to use the software that performs the evaluation: a) The number of days that the device is to be used in one year. Due to rainfall there was no need to irrigate for 67 days in the year. Thus expected use of the con trol system is 298 days per year. b) The average time required by labor to perform the operation that is to be automated or mechanized. The average timing for the manual operation of the irriga tion system was measured at the site as 1 hour and 8 minutes per day. This information was determined by performing a time study as previously described. c) The operator worked briskly during the timings and was assigned a rating factor of 105%. d) The personal fatigue allowance for a task of this sort (from Table 2) is 10.5%. e) Labor cost. The operator earned a wage of $3.95/hr. 0 Required rate of return. The rate that which outstand ing loans were being paid was 15%. The initial cost of the device. In this case it included g) the computer system interfaces, solenoid valves and wiring. The cost was $927.50. h) Salvage value. The value of this device at the end of the depreciation period (salvage value) was assumed to be $75.00. i) Maintenance cost. The anticipated maintenance cost was assumed as 10% of the initial cost, that is, $92.75. Depreciation period. The depreciation period was esti j) mated to be 5 years. k) Inflation rate. The inflation rate at the time the analysis was done was estimated to be 5.7%. Using these data, the software was uses to estimate the economic indicators, the results can be seen in Fig. 1. The average hourly wage rate was found to be $4.56/hour. This is the present wage rate adjusted for the estimated inflation rate and averaged over the depreciation period. The sav ings at present labor rate, were found to be $1565.08/year. This is the expected savings per year released by the device NET PRESENT VALUE EVALUATION OF LABOR SAVING DEVICES Number of days used Measured time Performance rating Personal fatigue allowance Labor rate Required rate of return Initial cost of device Salvage Value Maintenance cost Depreciation period Estimated inflation rate Average hourly rate Savings at present labor rate Savings at average hourly rate Net present value (NPV) Internal rate of return Real rate of return 298.00 /year 68.00 minutes/day 105.00 % 10.50 % 3.95 $/hour 15.00 % 927.50 75.00 92.75 5.00 5.70 4.56 1565.08 1805.80 5148.54 166.37 $ $ $ years % $/hour $/year $/year $ % 152.00 % Example The following example is taken from an analysis done for a commercial nursery in Florida. It deals with making Proc. Fla. State Hort. Soc. 99: 1986. Fig. 1. Microcomputer display showing the data and computed values of the economic estimators. 289 if wages remain the same. It reflects the hours of labor saved by the device per year multiplied by the present hourly rate. The savings at the average hourly wage rate were $1805.80/year. This is the expected savings per year re leased by the device if wages increase at the inflation rate. It reflects the hours of labor saved by the device per year multiplied by the average hourly rate. The net present value (NPV) of the investment was found to be $5148.54, indicating that the project returns more than the selected discount rate and, therefore, is an acceptable project from this standpoint. The internal rate of return (IRR) was found to be 166.37%. This is substantially higher than the required 15%. A project with an IRR which is higher than the re quired rate of return. Thus, the investment is an accept able project from this standpoint. The real rate of return (RRR) was found to be 152%. This is equal to the IRR with the effects of inflation re moved. This is substantially higher than the required real rate of return. Thus, the investment is an acceptable invest ment from this standpoint. Literature Cited 1. Barnes, R. M. 1980. Motion and time study design and measurement of work. John Wiley & Sons Inc., New York 2. Barry, P. J., J. A. Hopkin, and C. B. Baker. 1979. Financial manage ment in agriculture. The Interstate Printers and Publishers Inc., Dan ville, Illinois. 3. Batliwalla, M. 1978. Investment decision. Asia Publishing House Inc., New York. 290 4. Boggess, W. G., and C. B. Amerling. 1983. A bioeconomic simulation analysis of irrigation investments. Southern Journal of Agricultural Economics. 15(2):85-90. 5. Bosch, D., and A. J. Bolsink. 1978. Work study in forcing lilies. Instituut Voor Mechanisatie. Arbied Nen Gebouwen. Wageningen, Netherlands. 6. Council of Economic Advisors. 1986. Economic indicators February 1986. Prepared for the Joint Economic Committee. U.S. Govt. Print ing Office, Washington, D.C. 7. Florida Crop and Livestock Reporting Service. May 1986. Foliage, floraculture and cut greens. Author, Orlando, Florida. 8. Hopkin, J. A., and P. J. Barry and C. B. Baker. 1973. Financial management in agriculture. Interstate Printers and Publishers Inc., Danville, Illinois. 9. Jay, T. A. 1981. Time study. Blanford Management Series. Blanford Press, New York. 10. Karger, D. W., and W. M. Hancock. 1982. Advanced work measure ment. Industrial Press Inc., New York. 11. Levy, H., and M. Sarnat. 1982. Capital investment decision. PrenticeHall, Englewood Cliffs, New Jersey. 12. Niebel, B. 1982. Motion and time study. Richard D. Irwin Inc, Homewood, Illinois. Nineteen eighty-five irrigation survey. 1986. Irrigation Journal 36(l):21-28. 13. Prevatt, J. W., B. K. Harbaugh, and J. A. Otte. 1979. A cost appraisal of capillary mat, tube weight, hand water, and overhead irrigation systems used in potted chrysanthemum production. Proc. Fla. State Hon. Soc. 92:306-308. 14. Semprevio, R. D., D. L. Gunther, and J. R. Strain. 1979. Financial analysis of a small bedding plant nursery in Florida. Proc. Fla. State Hort. Soc. 92:308-313. 15. Smith, G. L. Jr. 1978. Work measurement: A systems approach. Grid Publishing Inc., Columbus, Ohio. 16. Strain, J. R., and A. Hodges. 1986. Business analysis of foliage plant nurseries in central Florida 1984. Economic Information Report 219. Food and Resource Economics Dept., IFAS, Univ. of Florida, Gaines ville, Florida. 17. Zazueta, F. S., S. Park-Brown, A. G. Smajstrla, and D. S. Harrison. 1984. Microcomputer control of irrigation systems for nurseries. Proc. Fla. State Hort. Soc. 97:285-286. Proc. Fla. State Hort. Soc. 99: 1986.
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