MATH SOLVE

6 months ago

Q:
# jeremy and justine work for a company that receives $45 for each unit of output sold. the company has a variable cost of $25 per item and a fixed cost of $1600. determine a function that models the profit for the company based upon the conditions for revenue and expense

Accepted Solution

A:

Answer:P(x) = 20x - 1600.Step-by-step explanation:The revenue of the company is obtained by selling each unit of output for $45.
So. for x units of output sold the revenue will be given by R(x) = 45x ....... (1)
Again, the company has the expense of fixed $1600 and another expense of $25 per output of items.
Hence, for x items the cost will be given by C(x) = 1600 + 25x
Therefore, the function that models the profit of the company based upon the conditions for revenue and cost will be P(x) = R(x) - C(x)
⇒ P(x) = 45x -(1600 + 25x) = 20x - 1600. (Answer)