A company earns a weekly profit of p dollars by selling x items according to the function p = -x^2 + 125x - 2200. Find the number of items the company must sell each week to obtain the largest possible profit Then find the largest possible profit

Arectemieryf0

Arectemieryf0

Answered question

2022-07-31

A company earns a weekly profit of p dollars by selling x items according to the function p = x 2 + 125 x 2200. Find the number of items the company must sell each week to obtain the largest possible profit Then find the largest possible profit.

Answer & Explanation

kuglatid4

kuglatid4

Beginner2022-08-01Added 12 answers

p = x 2 + 125 x 2200 d p d x = 2 x + 125 d p 2 d x 2 = 2
for maximum profit d p d x = 0 and d 2 p d x 2 < 0
d p d x = 0 2 x + 125 = 0 x = 62 5
Hence x = 62 5 give maximum profit.
P ( 62 5 ) = ( 62 5 ) 2 + 125 × 62 5 2200 = 1706.25 $

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?