Purchase Solution

# Epren manufactures engine parts for an automobile manufacturer

Not what you're looking for?

Please see the attached file for full problem description.

---
Epren manufactures engine parts for an automobile manufacturer. It operates 2 plants, which have the following production functions:

Plant A: Qa = 30Sa - 0.25 Sa2

Plant B: Qb = 40Sb - 0.50Sb2

where Qa is the unit output from plant A, Qb is the unit output from plant B and Sa and Sb are the units of the variable factor steel used, respectively at plant A and B.

a. Suppose the steel availability is 30 units. What is the optimal allocation between the two plants?

b. A sudden supplier problem reduces availability of steel to plant B by 10 units. How should Epren reallocate steel between the plants? Explain.

Explain how the following events will affect the average and marginal cost curves of the firm.
a. an increase in lease payments.
b. A decrease in utility cost.
c. Stricter environmental regulations requiring installation of scrubbers on smokestacks.
d. An increase in the corporate profit tax.
e. An increase in learning on the part of labor.

##### Solution Summary

What will happen to the average and marginal cost curves of the firm?

##### Solution Preview

<br>
<br>a. Suppose the steel availability is 30 units. What is the optimal allocation between the two plants?
<br>
<br>It will produce at a level where the marginal product in both plants are equal, then the cost is minimized.
<br>MCa = dQa / dSa = 30-0.5Sa
<br>MCb = dQb / dSb = 40-Sb
<br>
<br>Set MCa = MCb:
<br>30-0.5Sa = 40-Sb (1)
<br>s.t. Sa+Sb = 30 (2)
<br>solve the above two equations:
<br>(2)-(1): 1.5 Sa = 20
<br>then Sa = 20/1.5= 13.3
<br>Sb = 30-Sa = 16.7
<br>
<br>b. A ...

##### Basics of Economics

Quiz will help you to review some basics of microeconomics and macroeconomics which are often not understood.

##### Pricing Strategies

Discussion about various pricing techniques of profit-seeking firms.

##### Economic Issues and Concepts

This quiz provides a review of the basic microeconomic concepts. Students can test their understanding of major economic issues.

##### Elementary Microeconomics

This quiz reviews the basic concept of supply and demand analysis.

##### Economics, Basic Concepts, Demand-Supply-Equilibrium

The quiz tests the basic concepts of demand, supply, and equilibrium in a free market.