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Mrs. Taylor is planning a pizza party for her students. She plans to purchase cheese pizza and pepperoni pizza for her students to enjoy. Cheese pizzas cost $8 each and pepperoni pizzas cost $11 each. She needs to purchase at least 12 pizzas, while spending no more than $180.

Let x represent the number of cheese pizzas purchased and y represent the number of pepperoni pizzas purchased.

What are two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit?

Verify the combinations, graphically.

Verify the combinations, algebraically.


What is one combination of cheese and pepperoni pizzas that does not meet the criteria?

Verify the combination, graphically.

Verify the combination, algebraically.

Sagot :

The two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit are; x + y ≥ 12 and

8x + 11y < 180

How to solve linear programming problems?

We are told that she needs twelve pizzas. The equation below represents the number of pizzas of the type she needs to buy;

x + y ≥ 12

Where;

x represents the number of pepperoni pizzas she can buy while keeping her limit of 12 pizzas.

y represents the number of cheese pizzas she can buy while keeping her limit of 12 pizzas.

We are told that she cannot spend more than 180 dollars. Thus, our inequality is now;

8x + 11y < 180

Where;

8x represents the amount of dollars per pepperoni pizza.

11y represents the amount of dollars per cheese pizza.

These equations show all possible solutions.

The purple area in the graph attachment is verified to show the possible combinations.

Read more about Linear Programming at; https://brainly.com/question/14309521

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