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$2.$ 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.

$05101520253035404550200180160140120100806040200$PRICE $($Dollars per unit$)$QUANTITY $($Units$)$Demand$$

Graph Input Tool

Market for Goods

$$

Quantity Demanded

$($Units$)$

$$

Demand Price

$($Dollars per unit$)$

$$

On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of $0,10,20,25,30,40,$ and $50$ 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.

Total Revenue$0510152025303540455025002250200017501500125010007505002500$TOTAL REVENUE $($Dollars$)$QUANTITY $($Number of units$)$

Calculate the total revenue if the firm produces $10$ versus $9$ units. Then, calculate the marginal revenue of the $10$th unit produced.

The marginal revenue of the $10$th unit produced is

$.$

Calculate the total revenue if the firm produces $20$ versus $19$ units. Then, calculate the marginal revenue of the $20$th unit produced.

The marginal revenue of the $20$th 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.

Marginal Revenue$05101520253035404550200180160140120100806040200-20-40$MARGINAL REVENUE $($Dollars$)$QUANTITY $($Units$)$

Comparing your total revenue graph to your marginal revenue graph, you can see that when total revenue is increasing, ma Attempts Average $/5$

$2.$ 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.

Graph Input Tool

Market for Goods On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of $0,10,20,25,30,40,$ and $50$ 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.

Total Revenue

Calculate the total revenue if the firm produces $10$ versus $9$ units. Then, calculate the marginal revenue of the $10$ th unit produced.

The marginal revenue of the $10$th unit produced is

Calculate the total revenue if the firm produces $20$ versus $19$ units. Then, calculate the marginal revenue of the $20$th unit produced.

The marginal revenue of the $20$th unit produced is $3$ased on your answers from the previous question, and assuming that the marginal revenue curve is a straight line, use the black line $($plus symbol$)-$ plot the firm's marginal revenue curve on the following graph.

omparing your total revenue graph to your marginal revenue graph, you can see that when total revenue is increasing, marginal revenue is