Question

For a certain company, the cost for producing x

items is 35x+300
and the revenue for selling x
items is 75x−0.5x2
.

Answer 1

35x + 300 = 75x - .5x²

70x + 600 = 150x - x²

x² - 80x + 600 = 0

x = (80 ± √(80² - 4(1)(600)))/2

= (80 ± √4000)/2

= (80 ± 20√10)/2

= 40 ± 10√10

= 8.38, 71.62

= 9, 72