Question

Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and coffee cake 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 coffee cake Susan bakes.

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

Answer 1

15 eggs and 16 cups flour 
Pumpkin bread (x) : 2 eggs & 3 cups of flour 
Coffee cake (y) : 3 eggs & 4 cups of flour 
2x + 3y ≤ 15 { number of eggs used} 
3x + 4y ≤ 16 { number of cups of flour used } 
Objective function 
P = 5x + 4y