Answer:
No units
Step-by-step explanation:
The cost function is given by;
[tex]C(x)=x^2-20x+35[/tex]
To find the units manufactured at a cost of $5,560
We equate the C(x) to 5560 and solve for x.
[tex]x^2-20x+35 = 5560[/tex]
[tex]x^2-20x+35 - 5560 = 0[/tex]
[tex]x^2-20x - 5525= 0[/tex]
The discriminant of this equation is negative.
That is,
[tex]d = {( - 20)}^{2} - 4 \times 1 \times - 5560 \: < 0[/tex]
Hence the equation has no real roots.
This means no units can be produced at $5,560
