Profit maximization, Optimal Profit

There are 100 patients who could benefit from a new drug, Tipilor, manufactured by Zifer. Patient i has

willingness to pay i, i=1,…,100. Ignore fixed costs and assume marginal cost, c, is constant. a) What is the

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profit maximising price and resulting profit? b) Now assume all patients have insurance which means they

only pay 10% of the price as a co-payment. What is the profit maximising price and resulting profit? c)

Zifer sets up a charity to cover the co-payment for poor people. Patients 1, 2, …, 50 are considered poor.

What is the profit maximising price and resulting profit? d) For c = 10, calculate optimal profit in a), b) and

c) and conclude whether setting up the charity is profitable.

Sample Solution

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