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Satsume Satsume
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5 years ago
Trisha's Fashion Boutique is considering a profit sharing arrangement with her employees.  Currently, the employees receive an annual bonus.  Trisha can sell all the output she produces for $150 per unit.  Trisha's total cost function (including bonus payments to employees) is: TC(Q) = 75Q + 2.5Q2.   The marginal cost function is: MC(Q) = 75 + 5Q.  The profit sharing plan would pay employees 30% of profits.  However, due to greater cost saving initiatives from employees, Trisha's total cost function becomes: TC(Q) = 50Q + 2Q2.  The relevant marginal cost function becomes: MC(Q) = 50 + 4Q.  Which plan offers Trisha the greatest profits for herself?
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Microeconomics


Edition: 8th
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Bart_argBart_arg
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5 years ago
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With the bonus plan, Trisha's profit maximizing output corresponds to: MC(Q) = P  75 + 5Q = 150  Q = 15.  Trisha's profits are $562.50 at this output level with the employee bonus.  With the profit sharing plan, Trisha's profit maximizing output corresponds to: MC(Q) = P  50 + 4Q = 150  Q = 25.  Trisha's portion of the profits is 0.7($1,250) = $875.  Trisha earns a larger profit for herself if she institutes the profit sharing plan.
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2 years ago
thank you
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