Section 3: Profit-Maximization (or Loss-Minimization) for a Monopolist
Monopoly Profit-Maximization by Analyzing a Table Consider the following table with cost and revenue data for a hypothetical monopolist: Quantity TFC TVC TC AVC ATC MC Price Total Revenue Marginal Revenue 0 5,000 0 5,000 – – – 38 0 – 100 5,000 3,000 8,000 30 80 30 37 3,700 37 200 5,000 5,000 10,000 25 50 20 36 7,200 35 300 5,000 6,000 11,000 20 36.67 10 35 10,500 33 400 5,000 6,800 11,800 17 29.50 8 34 13,600 31 500 5,000 8,000 13,000 16 26 12 33 16,500 29 600 5,000 10,000 15,000 16.67 25 20 32 19,200 27 700 5,000 13,000 18,000 18.57 25.71 30 31 21,700 25 800 5,000 16,500 21,500 20.63 26.88 35 30 24,000 23 900 5,000 22,000 27,000 24.44 30 55 29 26,100 21 Problem: What are the profit-maximizing output and price for the above monopolist? What is the profit at this output? What is the average profit at this output? Solution: Like the purely competitive firm, a monopolist maximizes profits at the quantity where marginal cost and marginal revenue are equal, or where marginal cost comes closest to marginal revenue, as long as marginal cost does not exceed marginal revenue, marginal cost is not falling, and price exceeds average variable cost. Applying the profit-maximizing rule, we conclude that the firm maximizes profits at Quantity = 600 units Price = $32 Profit...
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