Answer:
$77, 456
Step-by-step explanation:
Let P(x) = profit
P(x) = revenue - cost
⇒ P(x) = (952x - 0.68x²) - (-153x + 371450)
⇒ P(x) = -0.68x² + 1105x - 371450
Differentiate P(x)
⇒ P'(x) = -1.36x + 1105
Set P'(x) = 0 and solve for x:
⇒ -1.36x + 1105 = 0
⇒ 1.36x = 1105
⇒ x = 812.5
Therefore, maximum profit when x = 812.5
Substitute x = 812.5 into P(x):
P(812.5) = -0.68(812.5)²+ 1105(812.5) - 371450 = 77456.25
First, subtract 68 from 57. Which equals 11. Then add 11 + 69. That equals 80.
Plot the points ( -4,2.5), (-3,3), (-2,1.5), (-1,2), (0,1), (1,2), (2,3.5), (3,0.5), (4,2.5) then connect them with a line
Hello from MrBillDoesMath!
Answer:
x = 0 or x = 3
Discussion:
Solve
x^2 -2x = x =>
x^2 - 2x - x = 0 => (subtract x from both sides)
x^2 - 3x = 0 =>
x(x-3) = 0 => (factor "x" from each term)
x = 0 or x = 3
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
