Acompany’s total revenue from manufacturing and selling x units of their product is given by: y = –3x2 + 900x – 5,000. how many units should be sold in order to maximize revenue, and what is the maximum revenue

150 units;

Maximum revenue: $62,500.

Step-by-step explanation:

We have been given that a company’s total revenue from manufacturing and selling x units of their product is given by . We are asked to find the number of units sold that will maximize the revenue.

We can see that our given equation in a downward opening parabola as leading coefficient is negative.

We also know that maximum point of a downward opening parabola is ts vertex.

To find the number of units sold to maximize the revenue, we need to figure our x-coordinate of vertex.

We will use formula to find x-coordinate of vertex.

Therefore, 150 units should be sold in order to maximize revenue.

To find the maximum revenue, we will substitute in our given formula.

Therefore, the maximum revenue would be $62,500.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis