Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Question 1: Supply [9 Marks; 2, 2, 2, 3] Carmaker produces small cars in a perfectly competitive market using labour (L) and capital (K). Carmaker's

Question 1: Supply [9 Marks; 2, 2, 2, 3]

Carmaker produces small cars in a perfectly competitive market using labour (L) and capital (K). Carmaker's production function is given by

f(L,K) = min {0.05L, K1/2},

where q is the number of cars produced.

a. [2 marks] Starting from L > 0, K > 0, suppose you double the amount of L and K. Is it possible for output (q) to more than double (i.e., increase from q to Aq where A > 2)?

b. [2 marks] Find the minimum cost to produce q cars when the price of labour (w) is 400 and price of capital (r) is 10? [Hint: the answer would involve q.]

c. [2 marks] Using the answer to part (b), we can show that Carmaker's supply function is of the following form:

q = { a + bp for p > AVC min }

{ 0 for p AVC min }

where AVC stands for average variable cost. Find a, b, and AVCmin

d. [3 marks] A new technology of producing cars has come to the market which only uses capital

g(K) = 0.5K1/2

As in part (c), continue to assume w = 400 and r = 10.

Carmaker maximizes profits. It uses both technologies and sells q* cars in a perfectly competitive market where the price of small cars is p*. If 1/3 of cars are produced using new technology and 2/3 of the cars with old technology, then

p* = ___________________; q* = _______________

How many cars do Carmaker produce in total? What must be the price of cars (assuming that the market for cars is perfectly competitive)?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Water Pollution Economics Aspects And Research Needs

Authors: Allen V Kneese

1st Edition

1317387554, 9781317387558

More Books

Students also viewed these Economics questions

Question

Why might ethical corporate behavior lead to higher profitability?

Answered: 1 week ago

Question

3. An initial value (anchoring).

Answered: 1 week ago

Question

4. Similarity (representativeness).

Answered: 1 week ago