Question

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.

 On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 8, 16, 20, 24, 32, and 40 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.

 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 $125

 Calculate the total revenue if the firm produces 16 versus 15 units. Then, calculate the marginal revenue of the 16th unit produced.

 The marginal revenue of the 16th unit produced is $45

 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.)

 Comparing your total revenue graph to your marginal revenue graph, you can see that when total revenue is decreasing, marginal revenue is negative.

Answer 1

Inverse Demand Function is

P = 200 - 5Q

When Q = 8, Price = 200 - 5*8 = $ 160

Total Revenue = 8*160 = $ 1280

When Q = 7 , Price = 200 - 5*7 = $ 165

Total Revenue = 7*165 = $ 1155

Marginal Revenue

Now, When Q = 16, P = 200 - 5*16 = $ 120

TR = 16*120 = $ 1920

When Q = 15, P = 200 - 5*15 = $ 125

TR = 15*125 = $ 1875

Marginal Revenue

When Total Revenue is Decreasing the Marginal Revenue is Negative.

All the solution provided by you were correct. Great work. Keep it up!

Please contact if still having any query will be obliged to help. Thank You