Consider the following information: Q = min{ 65 L, 4 K} PL=9, PK 10, P=18 and C-3058 What is the profit maximizing level of labor?

Given Q=100k0.5L0.5 , C=1200 w=30   r=40 (a)Determine the quantity of labour and capital the firm should use in order to minimize the cost. (b)What is the level of output at this level.

(A) With P = 20, W = 25 and TFC = 500: Labor Output (Q) (L) 5 10 25 35 50 60 10 25 60 70 80 90 Marginal Physical Product of AVC=VC/Q ATC=TC/Q Labour (MPPL) 2 3 4 2 2 1 Average Physical Cost Product of (TC) (VC) Labour (APPL) 2 2.5 2.4 2 1.6 1.5 MPPL = Change in Q / Change in L APPL=Q/L TC = TFC + VC VC=W* L MC = Change in TC / Change in Q Total Variable Marginal Average Cost Variable 625 750 1125 1835 1750 2000 125 250 625 875 1250 1500 Cost (MC) 15 10 6 10 15 30 Average Total Cost Cost (AVC) (ATC) 12.50 10.00 10.42 12.50 15.63 16.62 62.5 30.00 18.75 26.21 21.88 22.22 Based on this table, answer this: 1. How much output will this firm produce? If the price of output increases to $30, how does your answer change? 2. If the productivity of labor increases by 10% (all else equal), how much more labor will the firm hire? 3. Below what price will this firm decide to produce zero units of output? (i.e. shut down)

(2 ex Production function is flu, X2)=min (x,, 2-x) Dwhat are the conditional factor demand of y = 10 OVA the firm faces w, and w₂ as input prices, what is the cost function?