Question

A fast-food restaurant has a cost production of C(x) = 7x + 117 and a revenue

function of R(x) = 28x, where I represents the number of milkshakes they
make. When does the company start to turn a profit?

Answer 1

6

Explanation:

Profit is revenue minus cost.

P(x) = R(x) − C(x)

P(x) = 28x − (7x + 117)

P(x) = 21x − 117

When the profit is 0, the value of x is:

0 = 21x − 117

21x = 117

x = 5.6

Rounding up to the nearest integer, the company starts to turn a profit at 6 milkshakes.