Acompany that produces thumb drives has determined that its maximum profit occurs when it sells 5,000 units per month. for every 500 units above or below 5,000 the company sells, its profit decreases by 1,500 which of the following could be the number of units sold in a month if the companys profit decreased by 12,000 from the maximum? round the answer to the nearest whole number

a. 100 or 900 units
b. 1,000 or 9,000 units
c. 460 or 540 units
d. 4,600 or 5,400 units

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

f(y)= y^2-10y+25

step-by-step explanation: