Question

(TIMED)Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 1/2 cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of blueberry muffins and y represent the number of bran muffins Alan bakes. What are the constraints for the problem?

Answer 1

A. 1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
x > or equal to 0
y > or equal to 0
1/3x + 1/2y < or equal to 4

Answer 2

Let x represent the number of blueberry muffins
`x\geq 0`

Let y represent the number of bran muffins
`y\geq 0`

Tray of blueberry muffins: 1/3 cup of oil & 2 eggs

Tray of bran muffins: 1/2 cup of oil & 1 egg

Alan has 4 cups of oil and 12 eggs on hand.

He sells a tray of blueberry muffins for $12 each.

He sells a tray of bran muffins for $9 each.

`(x)/(3)+(y)/(2)\leq 12`

The constraints for the problem are 4 cups of oil and 12 eggs.

Alan should not exceed 4 cups of oil and 12 eggs as it will create shortage. He should get the correct proportion of both the muffins to maximize his profit.

In equation form it is :
`(x)/(3)+(y)/(2)\leq 4`