The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. y = 8x y = - 0.01 x2 + 4x + 3,200

Question

Laney House

Mathematics

4 December, 02:45

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. y = 8x y = - 0.01 x2 + 4x + 3,200

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Answers (1)

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Caleb Tate · Answer 1

Given that the equation y=8x models the income of the company in dollars and the equation y=-0.01x²+4x+3200 models the cost of making x baseball caps. The profit of making x caps will be given by:

Profit = (total income) - (total cost)

=8x - (-0.01x²+4x+3200)

=8x+0.01x²-4x-3200

=0.01x²+4x-3200

Hence the answer is, profit will be given by:

y (x) = 0.01x²+4x-3200