A firm can produce only 1000 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x - x2 dollars, how 100 many items, x, should the firm produce for maximum profit? x = 12500 x items Find the maximum profit. $1562000 x

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ISBN:9781337282291
Author:Ron Larson
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ChapterP: Prerequisites
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Problem 17T: A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for...
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A firm can produce only 1000 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x –
x² dollars, how
100
many items, x, should the firm produce for maximum profit?
X = 12500 x items
Find the maximum profit.
$ 1562000 X
Transcribed Image Text:1 A firm can produce only 1000 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x – x² dollars, how 100 many items, x, should the firm produce for maximum profit? X = 12500 x items Find the maximum profit. $ 1562000 X
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