How do you create a system of inequalities with given restraints?

The assignment says:

Julia is deciding how many batches of sugar cookies and how many loaves of banana bread to make. Construct a system of linear inequalities that shows how many batches of sugar cookies (x) and loaves of banana bread (y) she can make with the flour she has but also reflects the fact that she can't produce negative goods. There are 36 cups of flour available; to make one batch of sugar cookies, Julia needs 2 3/4 cups of flour, and to make one loaf of bread she needs 2 1/2 cups of flour.

Question

Mathematics

Katelynn Carson

19 February, 01:47

How do you create a system of inequalities with given restraints?

The assignment says:

Julia is deciding how many batches of sugar cookies and how many loaves of banana bread to make. Construct a system of linear inequalities that shows how many batches of sugar cookies (x) and loaves of banana bread (y) she can make with the flour she has but also reflects the fact that she can't produce negative goods. There are 36 cups of flour available; to make one batch of sugar cookies, Julia needs 2 3/4 cups of flour, and to make one loaf of bread she needs 2 1/2 cups of flour.

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Answers (1)

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Allisson Cisneros · Answer 1

Given:

sugar cookies = x = 1 batch = 2 3/4 cups of flour

loaves of banana bread = y = 1 loaf = 2 1/2 cups of flour

2 3/4 x + 2 1/2 y < 36

the total number of cups of flour used per batch of sugar cookies and loaf of banana bread should not exceed 36 cups of flour.