Question

A manufacturer has total revenue given by the function R = 190x and has total cost given by C=79000+50x where x is the number of units produced and sold

Answer 1

So, the profit function is P(x) = 140 x - 79000. Please check the explanation below to help you remember the steps.

Explanation:

The manufacturer's profit is given by the difference between total revenue and total cost. So, we can find the profit function, P(x), by subtracting the cost function from the revenue function:

P(x) = R(x) - C(x)

P(x) = 190x - (79000 + 50x)

P(x) = 190x - 79000 - 50x

P(x) = 140x - 79000

So, the profit function is P(x) = 140 x - 79000.