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Must solve the linear systems using matrices in row-echelon

form.
You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 11 buns, 16 defrosted beef patties, and 14 opened cheese slices. Rather than throw them out, y

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Final answer:

To make the most of the remaining ingredients, you should make 11 plain burgers, 7 double cheeseburgers, and 14 regular cheeseburgers.

Step-by-step explanation:

To determine the number of each type of burger to make, we can start by finding the limiting ingredient:

Plain burgers: Each requires 1 beef patty and 1 bun. With 16 beef patties and 11 buns, we can make a maximum of 11 plain burgers.

Double cheeseburgers: Each requires 2 beef patties, 1 bun, and 2 slices of cheese. Since we only have 14 opened cheese slices, we can make a maximum of 7 double cheeseburgers.

Regular cheeseburgers: Each requires 1 beef patty, 1 bun, and 1 slice of cheese. With 16 beef patties and 14 opened cheese slices, we can make a maximum of 14 regular cheeseburgers.

Therefore, you should make 11 plain burgers, 7 double cheeseburgers, and 14 regular cheeseburgers.

The Question is incomplete. The complete question is

You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 11 buns, 16 defrosted beef patties, and 14 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make?

plain burgers

double cheeseburgers

regular cheeseburgers

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