A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-x^2+62x-410

$551

Step-by-step explanation:

Given the amount of profit, y, made by the company, is related to the selling price of each widget, x, by the equation y=-x^2+62x-410

The company make the maximum profit at when dy/dx = 0

dy/dx = -2x + 62

Since dy/dx = 0

0 = -2x + 62

2x = 62

x = 62/2

x = 31

substitute x = 31 into the expression y=-x^2+62x-410

y=-x^2+62x-410

y=-31^2+62(31)-410

y = -961+1922-410

y  = 551

Hence the maximum profit the company can make is $551

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

fdvs

step-by-step explanation: vsfdvsfvd