Suppose also that we are now in the Long-Run, and that the firm has decided to still produce the same Q* as in Problem 1. That is, the firm decides to set Q = 160. 7. If the firm wants to cost minimize, what must be the ratio of K to L that they employ given the prices in this market? 8. Suppose that the firm wants to produce Q* = 160. What is its cost-minimizing choice of K & L?
Suppose also that we are now in the Long-Run, and that the firm has decided to still produce the same Q* as in Problem 1. That is, the firm decides to set Q = 160. 7. If the firm wants to cost minimize, what must be the ratio of K to L that they employ given the prices in this market? 8. Suppose that the firm wants to produce Q* = 160. What is its cost-minimizing choice of K & L?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Suppose also that we are now in the Long-Run, and that the firm has decided to still produce
the same Q* as in Problem 1. That is, the firm decides to set Q = 160.
7. If the firm wants to cost minimize, what must be the ratio of K to L that they employ
given the prices in this market?
8. Suppose that the firm wants to produce Q* = 160. What is its cost-minimizing choice of
K & L?

Transcribed Image Text:Problem 1: Short-Run Profit Maximization
Consider a firm that uses both capital (K) and labour (L) to produce a final product (Q) that it
sells at the market price $5. The firm buys Labour at a cost of $4 per unit and capital at a cost of
$10 per unit. The firm is a price-taker for all prices with the following production function:
Q = 4K¹//2L²¹/2
This production function implies the following:
[¹/₂
K¹/₂
MPK = 2-
K¹/₂
L¹/₂
Suppose also that the firm currently has 16 units of capital (K = 16) in the Short-Run.
MPL = 2-
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