The problem asks to determine the profit-maximizing output level, the corresponding price, and the profit for a monopolist based on the provided graph showing Marginal Cost (MC), Average Cost (AC), Demand (D), and Marginal Revenue (MR) curves.
Applied MathematicsMicroeconomicsMonopolyProfit MaximizationMarginal CostMarginal RevenueDemand CurveAverage Cost
2025/7/1
1. Problem Description
The problem asks to determine the profit-maximizing output level, the corresponding price, and the profit for a monopolist based on the provided graph showing Marginal Cost (MC), Average Cost (AC), Demand (D), and Marginal Revenue (MR) curves.
2. Solution Steps
To maximize profit, a monopolist produces at the quantity where Marginal Revenue (MR) equals Marginal Cost (MC). From the graph, the intersection of MR and MC occurs at a quantity of
1
0
0.
Next, to find the price, we go up from the quantity of 100 to the Demand (D) curve. The price corresponding to the quantity of 100 on the Demand curve is $
2
0.
To calculate the profit, we use the formula:
At a quantity of 100, the Average Cost (AC) is $
1
5. $Profit = ($20 - $15) \times 100 = $5 \times 100 = $500$.
Therefore, the monopolist will produce 100 units, charge a price of
5
0
0.
3. Final Answer
100, 500