The function Cx x2 4x 21 models the cost in hundreds of d

The function C(x) = x^2 - 4x + 21 models the cost in hundreds of dollars, to produce x thousand pens. Find the total cost to produce 7,000, 147,000, and 219,000 pens.

Solution

C(x) = x^2 -4x +21 cost in hundred dollars where x is in thousnad pens

x =7 thousand pens

C(7) = 7^2 -4*7 +21 = 42 thousnad dollars

x = 147 thousand pens

C(147) = 147^2 - 4*147 +21

= 21042 thousnad dollars

x = 219 thousnad pens

C(219) = 219^2 - 4*219 +21

= 47106 thousand dollars

Total cost = 42 + 21042 +47106

= 68190 thousand dollars