Chapter 11: Problem 2
What is the law of diminishing returns? Does it apply in the long run?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
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Chapter 11: Problem 2
What is the law of diminishing returns? Does it apply in the long run?
These are the key concepts you need to understand to accurately answer the question.
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What is the difference between the average cost of production and the marginal cost of production?
In describing the optimal size of an investment fund, a writer for the Wall Street Journal observed: … at first, bigger is better for both investors and managers…. Managing money is expensive. Small funds have many fixed costs…. If a fund is small, it can’t generate enough fees to cover costs…. The result is that in terms of performance, funds should want to get big to cover costs and maximize returns, but not so big that diseconomies of scale erode returns. Draw a graph of a long-run average cost curve for a typical firm in the investment fund industry. In your graph, draw and label the following. a. A short-run average total cost curve for an investment fund that has not reached minimum efficient scale b. A short-run average total cost curve for an investment fund that has reached minimum efficient scale c. A short-run average total cost curve for an investment fund that experiences diseconomies of scale d. A range of output within which investment funds experience constant returns to scale
We saw in the chapter opener that some colleges and private companies have launched online courses that anyone with an Internet connection can take. The most successful of these massive open online courses (MOOCs) have attracted tens of thousands of students. Suppose that your college offers a MOOC and spends a total of \(\$ 200,000\) on one-time costs to have instructors prepare the course material and buy additional server capacity. The college administration estimates that the variable cost of offering the course will be \(\$ 20\) per student per course. This variable cost is the same, regardless of how many students enroll in the course. a. Use this information to fill in the missing values in the following table: $$ \begin{array}{c|c|c|c|c} \hline \text { Number of } & & \\ \begin{array}{c} \text { Students } \\ \text { Taking the } \\ \text { Course } \end{array} & \begin{array}{c} \text { Average } \\ \text { Total Cost } \end{array} & \begin{array}{c} \text { Average } \\ \text { Variable } \\ \text { Cost } \end{array} & \begin{array}{c} \text { Average } \\ \text { Fixed Cost } \end{array} & \begin{array}{c} \text { Marginal } \\ \text { Cost } \end{array} \\ \hline 1,000 & & & & \\ \hline 10,000 & & & & \\ \hline 20,000 & & & & \\ \hline \end{array} $$ b. Use your answer to part (a) to draw a cost curve graph to illustrate your college's costs of offering this course. Your graph should measure cost on the vertical axis and the quantity of students taking the course on the horizontal axis. Be sure your graph contains the following curves: average total cost, average variable cost, average fixed cost, and marginal cost.
The table below shows the quantity of workers and total output for a local pizza parlor. Answer the following questions based on the table. $$ \begin{array}{c|c} \hline \text { Quantity of Workers } & \text { Total Output } \\ \hline 0 & 0 \\ \hline 1 & 5 \\ \hline 2 & \- \\ \hline 3 & 19 \\ \hline 4 & 24 \\ \hline 5 & 28 \\ \hline 6 & 26 \\ \hline \end{array} $$ a. When the owner hires 4 workers, what is average product of labor? b. What is the marginal product of the fifth worker? c. If the marginal product of the second worker is 6 , what is the total number of pizzas produced when 2 workers are hired? d. Assuming that the marginal product of the second worker is \(6,\) with which worker hired does the law of diminishing returns set in?
If the marginal product of labor is rising, is the marginal cost of production rising or falling? Briefly explain.
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