Question

The cost, C(x),for manufacturing x units of certain product Is given byC(x)=x^2-20x+35, find the units manufactured at a cost of $5560

Answer 1

No units

Explanation:

The cost function is given by;

`C(x)=x^2-20x+35`

To find the units manufactured at a cost of $5,560

We equate the C(x) to 5560 and solve for x.

`x^2-20x+35 = 5560`

`x^2-20x+35 - 5560 = 0`

`x^2-20x - 5525= 0`

The discriminant of this equation is negative.

That is,

`d = {( - 20)}^(2) - 4 * 1 * - 5560 \: < 0`

Hence the equation has no real roots.

This means no units can be produced at $5,560