Question

The weekly revenue for a company is r=-4p^2+40p+887, where p is the price of the company’s product. Use the discriminant to find whether there is a price for which the weekly revenue would be $1200

Answer 1

Answer:

No, there is no price for which the weekly revenue would be 1200

Step-by-step explanation:

If r = 1200

$-4p^2+40p+887=1200\\\\\implies -4p^2+40p-313=0$

Therefore, $a=-4, \ \ \ b=40, \ \ \ c=-313$

discriminant = $b^2-4ac$

$\implies 40^2-4(-4)(-313) = 1600 - 5008=-3408\\\\-3408<0 \implies \textsf{no real solutions}$