Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Question #3 A firm produces output using the technology: Q = 3K0.25L0.5 where capital, K, is measured in machine-hours, labor, L, is measured in person-hours,

Question #3

A firm produces output using the technology: Q = 3K0.25L0.5

where capital, K, is measured in machine-hours, labor, L, is measured in person-hours, and Q denotes the yearly output. The hourly wage rate in the United States WL = $10, and the hourly rental rate of capital (IN EFFECT CAPITAL COSTS $2 PER MACHINE HOUR) is WK = 2 and the Price is $80.

(a) Does this production function display increasing returns to scale, constant returns to scale or decreasing returns to scale (hintuse labor). Please show how you arrived at this conclusion (this requires a mathematical answer that you must show). (5 Points)

(b) Compute the marginal products of labor and capital. Show that there are diminishing, but positive, returns to the labor input. (5 Points)

(c) Suppose that the firm has signed a contract to rent K = 2400 machine hours over the course of the year. Determine the equilibrium level of Labor. (5 Points)

(d) If the wage level in Chile is $4, (given the same MPL in the US), what is the equilibrium level of Labor

demanded in Chile. If wages in Chile fall to $2, what is the new level of demand for labor in Chile? (3 Points) How can the workers in the US combate this potential transfer of jobs to Chile (there are two possible solutions). (2 Points)

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_2

Step: 3

blur-text-image_3

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

Austro-corporatism Past, Present, Future

Authors: Gunter Bischof

1st Edition

1000675858, 9781000675856

More Books

Students also viewed these Economics questions

Question

2. Ask questions, listen rather than attempt to persuade.

Answered: 1 week ago

Question

1. Background knowledge of the subject and

Answered: 1 week ago