Question

PLEASE I NEED THIS QUICK!!!!!

Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes.

What is the objective function for the problem?
P = 15x + 16y
P = 5x + 7y
P = 5x + 4y
P = 4x + 5y

Answer 1

The objective function represents the quantity that you want to maximize or minimize in an optimization problem. In this case, Susan wants to maximize the money raised at the bake sale.

The amount of money raised can be calculated by multiplying the number of pumpkin bread loaves (x) by the selling price of each pumpkin bread loaf ($5), and adding it to the product of the number of zucchini bread loaves (y) and the selling price of each zucchini bread loaf ($4).

Therefore, the objective function for this problem is:
P = 5x + 4y

So, the correct option is:
P = 5x + 4y