The total cost in dollars of producing a product is given by

The total cost (in dollars) of producing a product is given by

C(x) = 700x + 0.1x² + 1800

where x represents the number of units produced.

(a) Give the total cost of producing 10 units.
$ _____

(b) Give the value of C(100).

C(100) = _______

(c) Give the meaning of C(100).

.It costs $100 to produce this many units.

.This is the total cost (in dollars) of producing 100 units.

. For every additional 100 units created the cost (in dollars) decreases by this much.

.For every $100 increase in cost this many more units can be produced.

Solution

C(x) = 700x + 0.1x² + 1800

where x represents the number of units produced.

a) x = 10

C(10) = 700*10 + 0.1*10^2 + 1800 = $ 8810

b) C(100) = 700*100 + 0.1*100^2 + 1800 = $ 72800

c) C(100) It means : This is the total cost (in dollars) of producing 100 units.