A company that manufactures vehicle trailers estimates that the monthly profit for selling its midsize trailer is represented by the function P where T is the number of trailer sold

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22-11-2022
Mathematics

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A company that manufactures vehicle trailers estimates that the monthly profit for selling its midsize trailer is represented by the function P where T is the number of trailer sold

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ShubhamSrivastava ShubhamSrivastava · Answer 1 · 2022-11-25T17:48:41+01:00

The maximum profit of about $18750 is achieved when about 15 trailers are sold.

Polynomials are the sums of terms of the form kxn, where k is any number and n is a positive integer. a description of polynomials, like the polynomial 3x+2x-5.

Profit is calculated as follows:

p(t)= -25t3+625t2-2500t

The maximum profit is the highest amount of money that can be made from the sale of trailers.

At point p'(t) = 0, the profit is at its maximum. Consequently,

p'(t) = -75t2 + 1250t - 2500 = 0

t = 2.3 and t = 14.3

As a result, t = 3 and t = 15 trailers.

p(15) = -25(15³) + 625(15²) - 2500(15) = 18750

Therefore, when it sells roughly 15 trailers, the company makes a maximum profit of about $18750.

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A company that manufactures vehicle trailers estimates that the monthly profit for selling its midsize trailer is represented by the function P where T is the number of trailer sold￼

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A company that manufactures vehicle trailers estimates that the monthly profit for selling its midsize trailer is represented by the function P where T is the number of trailer sold