Question

The function p(s)=−10s2+110s−180 represents a company's profit p made on selling a product for s dollars per unit. Calculate and interpret p(6). (1 point)

1. If the company wants to make a profit of $6, they need to sell units for either $2 or $9.
2. The company's profit from selling their product for $6 per unit is $120.
3. If the company wants to make a profit of $6, they need to sell either 2 or 9 units.
4. The company's profit from selling 6 units is $120.

Answer 1

2. The company's profit from selling their product for $6 per unit is $120.

Explanation:

If we graph this function on a 2-axis plane such that the horizontal axis (x) represents
`s`, or the product's price per unit and the vertical axis (y) represents
`p(s)`, or the profit made by selling the product at
`s` dollars, we'll find that the
`p`-coordinate of the point where
`s=6` is 120. Hence, $120 profit will be made if the product is sold at $6 per unit.

See the attached image for a graph.