SOLUTION: An entrepreneur builds and sells computers in his store. His cost per computer is $550 after start-up costs of $10,000. His revenue for selling each computer is $1199.99. Assume th
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Question 1068245: An entrepreneur builds and sells computers in his store. His cost per computer is $550 after start-up costs of $10,000. His revenue for selling each computer is $1199.99. Assume that he sells every computer he builds. Recall and use the complete function definition form whenever it says "Define a function."
1. Define a function f that expresses his total cost as a function of x, the number of computers he builds.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
c = cost.
r = revenue
x = number of computers.
c = 10,000 + 550 * x.
r = 1199.99 * x.
if you let f(x) = c, then the function becomes:
c = f(x) = 10,000 + 550 * x.
what this says is that c is a function of x, which means that the argument of the function is the variable x which represents the number of computers.
you also have a profit equation (p = profit).
that equation is:
p = r - e
you also have a breakeven equaton.
that happens when the revenue is equal to the expense.
that equation becomes r = e
the answer to your question, however is:
the cost function is c = f(x) = 10,000 + 550 * x.
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