The cost of flying a passenger plane from point A to point B is $50,000. The airline flies this route four times per day at 7 am, 10 am, 1 pm, and 4 pm. The first and last flights are filled to capacity with 240 people. The second and third flights are only half full. Find the average cost per passenger for each flight. Suppose the airline hires you as a marketing consultant and wants to know which type of customer it should try to attract—the off-peak customer (the middle two flights) or the rush-hour customer (the first and last flights). What advice would you offer?

Short Answer

Expert verified

The average cost per passenger for the first and last flights is $208.3334. The average cost per passenger for the middle flights is $416.6667.

The airline must target off-peak customers for the middle flights.

Step by step solution

01

Average cost per passenger

The average cost is the cost per unit of output. It is calculated as the ratio of the total cost to the total output.In the case of a passenger plane, the output is the number of passengers receiving the service.

Case 1: Average cost per passenger for the first and last flights

AC=TotalCostTotalPassengers=$50,000240=$208.334

Thus, the average cost per passenger for the first and last flights is $208.3334.

Case 2: Average cost per passenger for the second and third flights

Since the second and third flights are half-filled, the total number of passengers is 120 (= 240/2).

AC=TotalCostTotalPassengers=$50,000120=$416.6667

The average cost per passenger for the second and third flights is $416.6667.

02

Choice between off-peak customer or the rush-hour customer

The airline should attract off-peak customers for the second and third flights because there’s excess capacity in the middle flights.Also, the marginal cost for carrying each additional passenger will be negligible. It will increase the airlines’ profit even if the price for tickets falls below the cost because the $50,000 cost is already recovered.

The extra amount of money from off-peak customers will contribute to the airlines’ profit. Hence, the airline should attract off-peak customers.

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Most popular questions from this chapter

a. Fill in the blanks in the table below.

Units of Output
Fixed Cost
Variable Cost
Total Cost
Marginal Cost
Average Fixed Cost
Average Variable Cost
Average Total Cost
0

100



1

125



2

145



3

157



4

177



5

202



6

236



7

270



8

326



9

398



10

490



b. Draw a graph that shows marginal cost, average variable cost, and average total cost, with cost on the vertical axis and quantity on the horizontal axis.

You manage a plant that mass-produces engines by teams of workers using assembly machines. The technology is summarized by the production function q = 5KL where q is the number of engines per week, K is the number of assembly machines, and L is the number of labor teams. Each assembly machine rents for r = \(10,000 per week, and each team costs w = \)5000 per week. Engine costs are given by the cost of labor teams and machines, plus $2000 per engine for raw materials. Your plant has a fixed installation of 5 assembly machines as part of its design.

  1. What is the cost function for your plant—namely, how much would it cost to produce q engines? What are average and marginal costs for producing q engines? How do average costs vary with output?

  2. How many teams are required to produce 250 engines? What is the average cost per engine?

  3. You are asked to make recommendations for the design of a new production facility. What capital/ labor (K/L) ratio should the new plant accommodate if it wants to minimize the total cost of producing at any level of output q?

A computer company’s cost function, which relates its average cost of production AC to its cumulative output in thousands of computers Q and its plant size in terms of thousands of computers produced per year q (within the production range of 10,000 to 50,000 computers), is given by AC = 10 - 0.1Q + 0.3q

  1. Is there a learning-curve effect?

  2. Are there economies or diseconomies of scale?

  3. During its existence, the firm has produced a total of 40,000 computers and is producing 10,000 computers this year. Next year it plans to increase production to 12,000 computers. Will its average cost of production increase or decrease? Explain.

What is the short run in the microeconomic theory?

Suppose that a firm’s production function is q = 10L1/2K1/2. The cost of a unit of labor is \(20 and the cost of a unit of capital is \)80.

  1. The firm is currently producing 100 units of output and has determined that the cost-minimizing quantities of labor and capital are 20 and 5, respectively. Graphically illustrate this using isoquants and isocost lines.

  2. The firm now wants to increase output to 140 units. If capital is fixed in the short run, how much labor will the firm require? Illustrate this graphically and find the firm’s new total cost.

  3. Graphically identify the cost-minimizing level of capital and labor in the long run if the firm wants to produce 140 units.

  4. If the marginal rate of technical substitution is K/L, find the optimal level of capital and labor required to produce the 140 units of output.

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