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+78x-543

$978

Step-by-step explanation:

Given:

To find the maximum amount of profit, differentiate the equation, set it to zero and solve for x.  Substitute found value of x into the original equation.

Differentiate equation

Set differentiated equation to zero and solve for x:

Maximum profit

Substitute x = 39 into the equation:

Therefore, max profit is $978

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: