3
QuizMultiple Choice

Linear Programming — Quiz

Question 3 • Algebra 2 with Probability

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 dollars each and zucchini bread loaves for 4 dollars 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?

Answer
A
cap p is equal to 5 x plus 7 y
B
cap p is equal to 15 x plus 16 y
C
cap p is equal to 5 x plus 4 y
D
cap p is equal to 4 x plus 5 y

Explanation

The objective function represents the total money Susan earns from selling the loaves. Each pumpkin loaf earns $5, so x pumpkin loaves earn 5x dollars; each zucchini loaf earns $4, so y zucchini loaves earn 4y dollars. Therefore, the objective function is P = 5x + 4y, choice C.

AI-written and checked against the verified answer.

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