Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

The hourly cost of capital is $10 and the hourly cost of workers is $40. a. Write out the Lagrangian for the cost-minimization problem. (4

The hourly cost of capital is $10 and the hourly cost of workers is $40. a. Write out the Lagrangian for the cost-minimization problem. (4 pts) b. Using the first order conditions of the Lagrangian, derive the optimal capital to labor ratio. Describe the long-run output expansion path. (8 pts) c. Suppose Carmela wishes to produce 1000 units of pasta. How much labor and capital should she employ? How much will it cost to produce? (8 pts) d. An order arrives doubling the amount of pasta Carmela needs to produce. Assuming she is unable to purchase more capital, how much will it cost to meet the new production level? (8 pts) e. In the long-run, Carmela will be able to employ more capital as well as labor. If Carmela continues to produce 2000 units of output, how much will it cost in the long run? How is it comparing to your answer in part d? (8 pts)

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

Historical Perspectives On The American Economy Selected Readings

Authors: Robert Whaples, Dianne C Betts

1st Edition

0521466482, 9780521466486

More Books

Students also viewed these Economics questions

Question

Describe what a one-minute self-sell is and what it contains.

Answered: 1 week ago

Question

List and explain the steps in the negotiating process.

Answered: 1 week ago