FOUNDATION YEAR
DEPARTMENT OF GENERAL STUDIES
YANBU INDUSTRIAL COLLEGE
MATH–012
Mathematics II for Business
Semester II, 1435 – 1436 (H) / 2014 – 2015(G)
Final Examination Solution
Time Allowed: 2 Hour
Student ID: _______________________
Max. Marks: 50
QUESTION 1
(a) Evaluate
(b) Write as a system of linear equations without matrices. [Do not solve them]
(c) If 25 barrels of crude oil cost Sr. 2500, what will 30 barrels cost at the same ration per
barrel?
30 barrels cost
Sr.
QUESTION 2
(a) Find
.
[ Here
]
(b) Expand:
(c) What is the value of an annuity (Future Value: FV) at the end of 15 years if Sr.1500 is
deposited each year into an account earning 7.5% compounded annually?
QUESTION 3
(a) A rock concert brought in Sr.4325 on the sale of 95 tickets. If the tickets sold for Sr.35
and Sr.55 each, how many of each type of ticket were sold?
No. of Sr.35 tickets = x
No. of Sr.55 tickets = 95 – x
No. of Sr.35 tickets = 45
No. of Sr. 55 tickets = 50
Sr. 35 tickets = 45
Sr. 55 tickets = 50
(b) The price-supply and price-demand equations for the sale of cherries in a large city are
Price-supply equation
Price-demand equation
where p is the price per pound of cherries and x is the quantity of cherries in thousands
of pounds. Find the equilibrium quantity(x).
Equilibrium price = 1.6
Quantity of cherries = 12 in thousands of pounds = 12000 pounds
Solving and getting the value x (with or without calculator)
Writing the answers
QUESTION 4
(a) Solve the quadratic equation. [Write the two answers clearly]
Using a calculator
(b) Solve the system of inequalities graphically and indicate whether the solution region is
bounded or unbounded. Find the coordinates of each corner point.
QUESTION 5
(a) Solve and graph:
Graphing:
(c) Solve the linear programming problem.
Corners are: (0,0), (5,0), (4,2) and (0,4)
(x,y)
(0,0)
(5,0)
(4,2)
(0,4)
P = 3x + 4y
0
15
20
16
Remark
20 – Maximum