Question

The cost of producing x units of an item is (150+25x) the revenue for selling x units is (90x-x^2) find the profit

Answer 1

$profit = - {x}^{2} + 65x - 150$

Step-by-step explanation:

cost of production = 150+25x

revenue from selling = 90x-x^2

profit = revenue - cost

$profit = 90x - {x}^{2} - (150 + 25x) \\ = 90x - {x}^{2} - 150 - 25x \\ = 65x - {x}^{2} - 150 \\ = - {x }^{2} + 65x - 150$