The owners of a small manufacturing concern have hired a vice president to run the company with the expectation that he will buy the company after five years. For the first $150,000 of profit, the vice president's compensation is a flat annual salary of $50,000 plus 90% of company profits. Beyond the first $150,000 in profits, the vice president's compensation is the salary he receives at $150,000 profit plus 10% of company profits in excess of $150,000. How do you plot the profit of buying the company as a function of annual profit when you assume the company will be worth 10 million in five years?

The owners of a small manufacturing concern have hired a vice president to run the company with the expectation that he will buy the company after five years. For the first $150,000 of profit, the vice president's compensation is a flat annual salary of $50,000 plus 90% of company profits. Beyond the first $150,000 in profits, the vice president's compensation is the salary he receives at $150,000 profit plus 10% of company profits in excess of $150,000. How do you plot the profit of buying the company as a function of annual profit when you assume the company will be worth 10 million in five years?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.6P

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The owners of a small manufacturing concern have hired a vice president to run the company with the expectation that she will buy the company after five years. For the first $150,000 of profit, the vice president's compensation is a flat annual salary of $50,000 plus 60% of company profits. Beyond the first $150,000 in profits, the vice president's compensation is the salary she receives at $150,000 profit plus 10% of company profits in excess of $150,000. On the following graph, use the purple points (diamond symbols) to plot the vice president's salary as a function of annual profit, for the profits levels of $0, $50,000, $100,000, $150,000, $200,000, $250,000, and $300,000. Total VP Salary0501001502002503002502252001751501251007550250MANAGER SALARY (Thousands of dollars)ANNUAL COMPANY PROFIT (Thousands of Dollars)300, 210
The owners of a small manufacturing concern have hired a vice president to run the company with the expectation that she will buy the company after five years. For the first $150,000 of profit, the vice president's compensation is a flat annual salary of $50,000 plus 60% of company profits. Beyond the first $150,000 in profits, the vice president's compensation is the salary she receives at $150,000 profit plus 10% of company profits in excess of $150,000. On the following graph, use the purple points (diamond symbols) to plot the vice president's salary as a function of annual profit, for the profits levels of $0, $50,000, $100,000, $150,000, $200,000, $250,000, and $300,000
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