a company has revenue given by R(x)=500x dollars and total cost given by C(x)=48,000 100x dollars, w

[math_celebrity]

a company has revenue given by R(x)=500x dollars and total cost given by C(x)=48,000 + 100x dollars, where x is the number of units produced and sold. How many units will give a profit

Profit P(x) is given by:
R(x) - C(x)

So we have:
P(x) = 500x - (100x + 48,000)
P(x) = 500x - 100x - 48,000
P(x) = 400x - 48,000

A profit is found when P(x) > 0, so we have:
400x - 48000 > 0

To solve this inequality, we type it into our search engine and we get:
x > 120