Question

If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x2−19x+50 find the number of units manufactured at a cost of $8150

Answer 1

Explanation:

C(x) = ax2 + bx + c

C(x) = x2 -19x + 50

8150 = x2 -19x + 50

x2 -19x + 50 = 8150

x2 -19x-8100 = 0

this is a quadratic equation, solved as

x = −b ± √(b2 − 4ac) 2a ·

or

x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·

x= 19± √((-19)x(-19) − 4(1) x(-8100))/2

x = 100