Question

The blue curve on the following graph represents the demand curve facing a firm that can set its own prices.

 2. Calculating marginal revenue from a linear demand curve

 The blue curve on the following graph represents the demand curve facing a firm that can set its own prices.

 Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly.

image.png

 On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of D, 4, 8, 10, 12, 16, and 20 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results.

image.png

 Calculate the total revenue if the firm produces 4 versus 3 units. Then, calculate the marginal revenue of the fourth unit produced.

 The marginal revenue of the fourth unit produced is _______ 

 Calculate the total revenue if the firm produces 8 versus 7 units. Then, calculate the marginal revenue of the eighth unit produced.

 The marginal revenue of the eighth unit produced is _______ 

 Based on your answers from the previous question, and assuming that the marginal revenue curve is a straight line, use the black line (plus symbol) to plot the firm's marginal revenue curve on the following graph. (Round all values to the nearest increment of 40.)

image.png

 Comparing your total revenue graph to your marginal revenue graph, you can see that total revenue is _______ at the output at which marginal revenue is equal to zero.

 


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