9. ms. ortiz sells tomatoes wholesale. the function p(x)=–80x2 + 320x – 10, graphed below,
indicates how much profit she makes on a load of tomatoes if she sells them for 4- x dollars
per kilogram

what should ms. ortiz charge per kilogram of tomatoes to make the maximum profit, and what is the maximum profit she can make on a loaf of tomatoes

a. $230 at $3 per kilogram
b. $310 at $2 per kilogram
c. $320 at $2 per kilogram
d. $320 at $3 per kilogram

The correct answer is B. $310 at $2 per kilogram

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

The correct answer is B. $310 at $2 per kilogram