Decision Making by Individuals and Firms — End of Chapter Problem 10. Assume De Beers is the sole producer of diamonds. When it wants to sell more diamonds, it must lower its price in order to induce...




Decision Making by Individuals and Firms — End of Chapter Problem



10.
Assume De Beers is the sole producer of diamonds. When it wants to sell more diamonds, it must lower its price in order to induce shoppers to buy more. Furthermore, each additional diamond that is produced costs more than the previous one due to the difficulty of mining for diamonds. De Beers’s total benefit schedule is given in the accompanying table, along with its total cost schedule.























































Quantity of diamondsTotal benefitTotal cost
0$0$0
11,10050
21,900100
32,700200
43,400400
54,000800
64,5001,500
74,9002,500
85,2003,800


a.
What is the optimal quantity of diamonds to produce?







Optimal output:











diamonds








b.
Calculate the total profit to De Beers from producing each quantity of diamonds. Which quantity gives De Beers the highest total profit?





Profit-maximizing output:











diamonds







Jun 07, 2022
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