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A political campaign manager must decide whether to emphasize television advertisements or letters to potential voters in a reelection campaign. Describe the production function for campaign votes. How might information about this function (such as the shape of the isoquants) help the campaign manager to plan strategy?

Short Answer

Expert verified

The campaign manager’s production function is described by the shape of isoquant, which could be linear, convex, or L-shaped.

Based on the shape, the manager can plan the correct amount of advertising or letters that can be used for a reelection campaign.

Step by step solution

01

The explanation for isoquant 

An isoquant shows different combinations of inputs that produce a particular level of output. A series of isoquants illustrating different output levels gives an idea about a firm’s production function.

The shape of the isoquant depends on the marginal rate of technical substitution between inputs. The curve is downward sloping as the marginal product of inputs is positive.

02

The shape of isoquants

Here, the output of the campaign manager is the number of voters, and the available inputs are television advertising and direct mail. The campaign manager requires the knowledge of substitution possibilities between the two inputs to estimate his production function.

For instance, if the inputs are perfect substitutes, the isoquant will be a straight line. The manager will choose only one input based on relative prices in such a case.

Again, if the inputs are imperfect substitutes, then the isoquants will have a convex shape. In such a case, the manager will choose a combination of both inputs at the least cost.

Again, if the inputs are perfect complements, the isoquants will be L-shaped. In this case, the manager will produce at the kink on the curve and use the inputs at a fixed proportion.

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Most popular questions from this chapter

Fill in the gaps in the table below.

Quantity of variable input
Total output
Marginal product of variable input
Average product of variable input
00

1225

2

300
3
300
41140

5
225
6

225

The menu at Joe’s coffee shop consists of a variety of coffee drinks, pastries, and sandwiches. The marginal product of an additional worker can be defined as the number of customers that can be served by that worker in a given time period. Joe has been employing one worker but is considering hiring a second and a third. Explain why the marginal product of the second and third workers might be higher than the first. Why might you expect the marginal product of additional workers to diminish eventually?

Suppose a chair manufacturer is producing in the short-run (with its existing plant and equipment). The manufacturer has observed the following levels of production corresponding to different numbers of workers:

Number of workers
Number of chairs
110
218
324
428
530
628
725

a. Calculate the marginal and average product of labor for this production function.

b. Does this production function exhibit diminishing returns to labor? Explain.

c. Explain intuitively what might cause the marginal product of labor to become negative.

In Example 6.4, wheat is produced according to the production function

q = 100(K0.8L0.2)

a. Beginning with a capital input of 4 and a labor input of 49, show that the marginal product of labor and the marginal product of capital are both decreasing.

b. Does this production function exhibit increasing, decreasing, or constant returns to scale?

Suppose life expectancy in years (L) is a function of two inputs, health expenditures (H) and nutrition expenditures (N) in hundreds of dollars per year. The production function is

L = c H0.8N0.2.

a. Beginning with a health input of \(400 per year (H = 4) and a nutrition input of \)4900 per year (N = 49), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing.

b. Does this production function exhibit increasing, decreasing, or constant returns to scale?

c. Suppose that in a country suffering from famine, N is fixed at 2 and that c = 20. Plot the production function for life expectancy as a function of health expenditures, with L on the vertical axis and H on the horizontal axis.

d. Now suppose another nation provides food aid to the country suffering from famine so that N increases to 4. Plot the new production function.

e. Now suppose that N = 4 and H = 2. You run a charity that can provide either food aid or health aid to this country. Which would provide a greater benefit: increasing H by 1 or N by 1?

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