Question

A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial. R ( p ) = − 4 p 2 + 410 p Find the revenue received when p = 91 dollars. The revenue is

Answer 1

The revenue received when the cost of the basketball shoes is $91 is $4186.

Step-by-step explanation:

To find the revenue received when p = 91 dollars for the latest basketball shoes, we need to substitute p with 91 in the polynomial R(p) = -4p2 + 410p. Calculating the revenue step-by-step:

• First, calculate the value of the squared term: -4 × (91)2 = -4 × 8281 = -33124.
• Next, calculate the value of the linear term: 410 × 91 = 37310.
• Finally, add both values to get the total revenue: R(91) = -33124 + 37310 = 4186.

Therefore, the revenue received when the cost of the basketball shoes is 91 dollars is $4186.

Answer 2

Given that:

`R(p)=-4p^2+410p`

To find the revenue received when p equals 91 dollars, substitute 91 for p into the formula of R(p).

`\begin{gathered} R(91)=-4\cdot91^2+410\cdot91 \\ =4186 \end{gathered}`

4186 dollars received from selling the shoes at a cost of 91 dollars.