Question

The profit of a company, in dollars, is the difference between the company's revenue and cost, P(x)= R(x) - C(x).

The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors

C(x) = 2100 + 60x

R(x) = 780x -x^2

Answer 1

To calculate a company's profit, subtract the cost function from the revenue function. For example, for 40 units produce, use P(40) = R(40) - C(40) to get the profit at 40 units sold.

Step-by-step explanation:

The question is asking how to calculate the profit of a company based on cost and revenue functions with respect to the number of items produced and sold. The cost, C(x), is given by the function C(x) = 2100 + 60x and the revenue, R(x), is given by R(x) = 780x - x2. The profit function, P(x), is then P(x) = R(x) - C(x).

To calculate the profit for any number of items produced and sold, we substitute the quantity into both the revenue and cost functions and then subtract the cost from the revenue. For example, to calculate the profit when 40 units are sold, we find R(40) = 780(40) - 402 and C(40) = 2100 + 60(40). Finally, P(40) is the difference between these two values, signifying the profit at 40 units.