Answer:
$23.0384
Step-by-step explanation:
p = −5x2 + 100x − 250
Where,
P = profits in dollars
x = price in dollars
Find x when p = $100
p = −5x2 + 100x − 250
100 = −5x² + 100x − 250
100 + 250 = -5x² + 100x
350 = -5x² + 100x
-5x² + 100x - 350 = 0
x = -b ± √(b² - 4ac) / 2a
= -100 ± √(100² - 4*-5*-350) / 2*-5
= -100 ± √10000 - (-7000) / -10
= -100 ± √ 10000 + 7000 / -10
= -100 ± √ 17,000 / -10
= -100 ± 10√170 / -10
= -100/-10 ± 10√170/-10
x = 10 ± √170
x = 10 + √170 or 10 - √170
x = 23.0384 or -3.0384
Price of pizza can't be negative
Therefore, the highest price you can charge per pizza to profit $100 is $23.0384
