Math Problem Statement

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. 0 2 4 6 8 10 12 14 16 18 20 200 180 160 140 120 100 80 60 40 20 0 PRICE (Dollars per unit) QUANTITY (Units) Demand 4, 160 Graph Input Tool Market for Goods

Quantity Demanded (Units) 10

Demand Price (Dollars per unit) 100.00

On the previous graph, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 4, 8, 10, 12, 16, or 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. Total Revenue 0 2 4 6 8 10 12 14 16 18 20 1000 900 800 700 600 500 400 300 200 100 0 TOTAL REVENUE (Dollars) QUANTITY OF OUTPUT (Number of units) 4, 640 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.) Marginal Revenue 0 2 4 6 8 10 12 14 16 18 20 200 160 120 80 40 0 -40 MARGINAL REVENUE (Dollars) QUANTITY OF OUTPUT (Units) Comparing your total revenue graph to your marginal revenue graph, you can see that when total revenue is increasing, marginal revenue is . Continue without saving

Solution

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Math Problem Analysis

Mathematical Concepts

Economics
Revenue Analysis
Demand Curve
Marginal Revenue

Formulas

Total Revenue = Price × Quantity
Marginal Revenue = ΔTotal Revenue / ΔQuantity

Theorems

Revenue Maximization Theory
Marginal Revenue Curve Analysis

Suitable Grade Level

Grades 10-12