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X articles are produced at a total cost of $(100-30x+x^2) and each is sold for $3x/2. How many should be made to produce the largest profit and how much is the profit
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Answered by
Damon
P = 3 x^2 / 2 - 100 + 30 x - x^2
P = .5 x^2 + 30 x - 100
find vertex or use calculus
dP/dx = x + 30
= 0 at max so x is - 30 for max or min. Typo.
P = .5 x^2 + 30 x - 100
find vertex or use calculus
dP/dx = x + 30
= 0 at max so x is - 30 for max or min. Typo.
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