SOLUTION: with a fixed cost of $4000, 20 items cost a total of $10,000, find a linear cost function

Algebra ->  College  -> Linear Algebra -> SOLUTION: with a fixed cost of $4000, 20 items cost a total of $10,000, find a linear cost function      Log On


   



Question 307760: with a fixed cost of $4000, 20 items cost a total of $10,000, find a linear cost function
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
If 20 items cost $10,000, then the cost of each item is $500.

There is a fixed cost of 4000. Since each item costs $500 to produce, the cost of producing x times is $500*x. The total cost is the sum of the actual production of the items $500x PLUS the total fixed costs of $4000.

The cost function is f(x)= 500x+ 4000

Dr. Robert J. Rapalje, Retired