uppose there are only two automobile companies, Ford and Chevrolet. Ford believes that Chevrolet will match any price it sets, but Chevrolet too is interested in maximizing profit. Use the following price and profit data to answer the following questions. Ford's Chevrolet's Ford’s Chevrolet’s Selling Selling Profits Profits Price Price (millions) (millions) $ 4,000 $ 4,000 $ 8 $ 8 4,000 8,000 12 6 4,000 12,000 14 2 8,000 4,000 6 12 8,000 8,000 10 10 8,000 12,000 12 6 12,000 4,000 2 14 12,000 8,000 6 12 12,000 12,000 7 7 What price will Ford charge? What price will Chevrolet charge once Ford has set its price? What is Ford’s profit after Chevrolet’s response? If the two firms collaborated to maximize joint profits, what prices would they set? Given your answer to part (d), how could undetected cheating on price cause the cheating firm’s profit to rise?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter23: Profit Maximization
Section: Chapter Questions
Problem 9E
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Suppose there are only two automobile companies, Ford and Chevrolet. Ford believes that Chevrolet will match any price it sets, but Chevrolet too is interested in maximizing profit. Use the following price and profit data to answer the following questions.

                   Ford's               Chevrolet's                   Ford’s                       Chevrolet’s

                   Selling                  Selling                      Profits                          Profits

                    Price                    Price                     (millions)                      (millions)

                  $ 4,000                $ 4,000                      $   8                              $   8

                     4,000                    8,000                         12                                  6

                      4,000                  12,000                         14                                  2

                      8,000                    4,000                          6                                 12

                      8,000                    8,000                         10                                 10

                      8,000                  12,000                         12                                  6

                    12,000                    4,000                          2                                 14

                    12,000                    8,000                          6                                 12

                    12,000                  12,000                          7                                  7

  1. What price will Ford charge?
  2. What price will Chevrolet charge once Ford has set its price?
  3. What is Ford’s profit after Chevrolet’s response?
  4. If the two firms collaborated to maximize joint profits, what prices would they set?
  5. Given your answer to part (d), how could undetected cheating on price cause the cheating firm’s profit to rise?
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