Question

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?
A. P = 15x + 16y
B. P = 5x + 7y
C. P = 5x + 4y
D. P = 4x + 5y

Answer 1

Answer:

Option C.

Step-by-step explanation:

Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes.

              Pumpkin bread           zucchini bread                Total

Eggs               2                                     3                           15        

Flour(cups)     3                                     4                           16

Selling price    $5                                  $4

Susan wants to maximize the money raised at the bake sale.

Objective function :

$P=5x+4y$

Subject to constraints:

$2x+3y\leq 15$

$3x+4y\leq 16$

$x,y \geq 0$

Since the objective function is P = 5x + 4y, therefore the correct option is C.