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=-35x^2+1458x-8400

$6,786.09

Step-by-step explanation:

Calculation to find out the maximum amount of profit the company can make, to the nearest dollar

Based on the information given we would have to find the value of y since x is the line of symmetry by using this formula

x=-b/(2a)

Where,

a = -35

b = 1458

Let plug in the formula

x=-1458/(2)(-35)

x=-1458/-70

x=1,458/70

Now let put the value of x above into this formula y=-35x^2+1458x-8400 in order for us to find the value of y

y=-35x^2+1458x-8400

y=(-35)(1458/70)^2+1458(1458/70)-8400

y=(-35)(433.83)+1,458(20.83)-8400

y=-15,184.05+30,370.14-8400

y=$6,786.09

Therefore the maximum amount of profit the company can make, to the nearest dollar is $6,786.09

67.84

Step-by-step explanation:

y=-35x^2+1458x-8400

y=−35x  

2

+1458x−8400

\text{Find: Max Profit}\rightarrow\text{y-value}

Find: Max Profit→y-value

x

y

(21, 6784)

y=$67.84{Max profit}

y=$67.84→Max profit

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42