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

Answer:

No units

Step-by-step 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,

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

Hence the equation has no real roots.

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