Question

Suppose that a supplier offers to license a technology that reduces this firm's marginal cost by 9% (from 2Q to 1.82Q). The cost of the license is $500 per year. Should the firm buy the license?

          Suppose that a supplier offers to license a technology that reduces this firm's marginal cost by 9% (from 2Q to 1.82Q). The cost of the license is $500 per year. Should the firm buy the license?
        

Added by Antonia S.

Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Suppose that a supplier offers to license a technology that reduces this firm's marginal cost by 9% (from 2Q to 1.82Q). The cost of the license is $500 per year. Should the firm buy the license?
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Transcript

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0:00 Hi.
00:01 In this problem, we have a demand curve, which is given by the function p is equal to 120 minus q.
00:11 And then we have a cost, which is equal to 580 minus or plus 11 q.
00:21 So the question is, what price should we choose to maximize profits? so the first thing we're going to do is find the revenue function, which is going to be price times quantity.
00:36 And so the price is given by this demand function.
00:44 So the price is going to be 120 minus q, and then quantity is just q.
00:50 So we get 120q minus q squared.
00:55 And therefore the profit, which is revenue minus cost, minus cost, is going to be negative q squared plus 109q minus 580.
01:17 So then to find the max...
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