Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i. e. P (x) = R (x) - C (x) where x is the number of items produced. If C (x) = 0.5x + 3 and R (x) = 2.5x, what should the production level, x, be to generate a profit of $99?

Question

Mathematics

Nancy Holloway

5 January, 20:04

Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i. e. P (x) = R (x) - C (x) where x is the number of items produced. If C (x) = 0.5x + 3 and R (x) = 2.5x, what should the production level, x, be to generate a profit of $99?

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Raelynn Santana · Answer 1

P (x) = R (x) - C (x)

Given that:

R (x) = 2.5x and C (x) = 0.5x+3

Then,

P (x) = 2.5x - (0.5x+3)

P (x) = 2x-3

thus for profit of $99, the number of units will be found as follows:

99=2x-3

solving for x we get:

102=2x

x=56 units