Question

Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses mc017-1.jpg cup of oil and 2 eggs. For a tray of bran muffins, Alan uses mc017-2.jpg 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

Tray of blueberry muffins: 1/2 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.

sells a tray of blueberry muffins for 12 each.
sells a tray of bran muffins for 9 each

x = blueberry muffins
y = bran muffins

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

He should not exceed 4 cups of oil and 12 eggs because there will be a shortage. He should get the correct combination of recipes for trays of blueberry muffins and bran muffins to maximize his profit.

Answer 2

ANSWER IS 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