Question

13. A linear cost function is C(x)= 28.37x +5,580, where x represents the number of units produced. What is the cost

of producing one more item if 75 are currently being produced? Round your answer to the nearest cent.
a. $7,736.12
b. $28.37
c. $5,580.00
d. $5,608.37
e. $75.00

Answer 1

9514 1404 393

Answer:

b. $28.37

Explanation:

In the cost function, x is the number of units. The derivative of the cost function with respect to x will tell the incremental cost of producing one more unit. That derivative is a constant, $28.37 per unit, so the cost of producing one more unit is $28.37 at any production level.