Question

For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items is 95x−0.5x2.

Answer 1

Answer:

The right answer is:

(A) $40x-300.25$

(B) $15$

(C) $383$

Step-by-step explanation:

Given:

Producing x items,

= $55x+300$

Revenue x items,

= $95x-0.5^2$

= $95 x-0.25$

Part A:

= $R(x)-C(x)$

By putting the values, we get

= $(95x-0.25)-(55x-0.25)$

= $40x-300.25$

Part B:

We know,

P(x) = $300

⇒ $300=40x-300.25$

   $40x=600.25$

       $x=\frac{600.25}{40}$

          $=15.00625$

or,

          $=15$

Part C:

We know,

P(x) = $15,000

⇒ $40x-300.25=15000$

                 $40x=15300.25$

                     $x=\frac{15300.25}{40}$

                        $=382.50625$

or,

                        $=383$