Math Equations Math Problem Math Help

Question

 define variables, write an equation, and then use the equation in the solving process.

Let C(x)=500+40x be the cost to manufacture x items. Find the average cost per item to produce 70 items.

Answer 1

x = number of items produced

C(x) = cost of producing x items

 

The average cost per item is the total cost divided by the number of items:

 

Average Cost per Item = C(x)/x = (500+40x)/x = (500/x) + 40

 

To find the cost per item for 70 items, just plug in x = 70 and compute the answer.