NAME: Patnatson Anthony.T COURSE: ECO 201 DEPARTMENT: Economics MATRIC NUMBER: 13/SMS01/029 Question 1. Microeconomic theory Q.1a,b,c (p.188) Q.2a (p.188) Q.2b (p.188) Q.3a and Q.5 (p.188) Pg.225.Q3 p.226(q.5) p.189 (q.5) QUESTION 2 TEXTBOOK: AN INTRODUCTION TO MICROECONOMICS 1. Page 189: number 2 and 3 Number 2 SOLUTION Short-run total cost (STC) = short-run fixed cost (SFC) + short-run average cost (SAC) Short-run average cost (TAC) = Short-run marginal cost (SMC) = Q STC TFC TVC SAC AFC SMC 10 1000 500 500 i.100 o.50 u. 100 20 500 f.700 j.60 p.25 v.20 30 c.500 850 k.45 q.16.67 w.15 40 500 g.950 l.36.25 r.12.5 x.10 50 d.500 1100 m.32 s.10 y.15 60 e.500 h.1350 n. 30.83 t.8.33 z. 25 WORK NOTE STC= TFC+TVC 500+850 =1350 STC= TFC +TVC 500+ 1350 = 1850 TFC= is constant because variables used are in short run and can’t be changed. The fixed, therefore; factors used are TFC= 500 TFC= is constant because variables used are in short run and can’t be changed. The fixed, therefore; factors used are TFC= 500 TFC= is constant because variables used are in short run and can’t be changed. The fixed, therefore; TFC= 500 TVC= STC - TFC 1200- 500 factors used are =700 TVC= STC- TFC 1450 – 500 = 950 TVC= STC – TFC 1850 – 500 =1350 SAC = STC/Q = 1000/10 =100 SAC = STC/Q = 1200/20 =60 SAC = STC/Q = 1350/30 =45 SAC = STC/Q =1450/40 = 36.25 SAC = STC/Q = 1600/50 =32 SAC = STC/Q = 1850/60 = 30.83 AFC = TFC/Q = 500/10 = 50 AFC = TFC/Q = 500/20 =25 AFC = TFC/Q = 500/30 =16.67 AFC = TFC/Q = 500/40 =12.5 AFC = TFC/Q = 500/50 =10 AFC = TFC/Q = 500/60 =8.33 SMC =-100 = /100/ SMC =-20 /20/7ujju SMC =-15 /15/ SMC =-10 /10/ SMC = -15 /15/ SMC =-25 /25/ Number 3 Solution The relationship between AFC, SAC and AVC As long as Average Fixed Cost (AFC) and Average Variable Cost (AVC) fall, SAC will also fall Because SAC= AFC+ AVC When Average Variable Cost (AVC) fall but Average Fixed Cost (AFC)increases, changes in SAC depends on the rate of change in average fixed cost and average variable cost If decrease in AFC> increase in AVC, SAC falls If decrease in AFC= increase in AVC, SAC is constant If decrease in AFC< increase in AVC, SAC increases The relationship between STC, TFC and TVC The short-run total cost and output relationship refers to the change in STC caused by increasing output, given the level of fixed inputs in production. The level of fixed inputs in economics is defined as capacity or so called plant size. Fixed costs hence vary with the size of the plant but are constant for a given plant size. The relationship can be expressed as; STC = TVC + TFC QUESTION 4 The law of diminishing returns is at best a short run phenomenon”. Discuss. Solution The law of diminishing returns can only work in the short run. Therefore, the law of diminishing return states that if one input in the production of a commodity is increased while all others are held fixed, a point will eventually be reached at which additions of input yield progressively smaller or diminishing increases in output. It’s also known as THE LAW OF VARIABLE PROPORTION “As equal increment of one input is added, the inputs of other productive services being held constant, beyond a certain point, the resulting increments of produce will decrease i.e., additional product (marginal product) will diminish”.“Increases in some inputs relative to other fixed input.
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