susan wants to make pumpkin bread and zucchini bread for the school bake sale. she has 15 eggs and 16 cups…

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? \\(\\bigcirc\\) \\(p = 15x + 16y\\) \\(\\bigcirc\\) \\(p = 5x + 7y\\) \\(\\bigcirc\\) \\(p = 5x + 4y\\) \\(\\bigcirc\\) \\(p = 4x + 5y\\)

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? \\(\\bigcirc\\) \\(p = 15x + 16y\\) \\(\\bigcirc\\) \\(p = 5x + 7y\\) \\(\\bigcirc\\) \\(p = 5x + 4y\\) \\(\\bigcirc\\) \\(p = 4x + 5y\\)

Answer

Answer:

C. ( P = 5x + 4y ) (assuming the third option is labeled C, with the text ( P = 5x + 4y ))

Explanation:

Step1: Understand the Objective

The goal is to maximize the money raised. So we need to find a function that represents the total profit (money raised) based on the number of each type of bread sold.

Step2: Analyze Revenue per Loaf

  • Pumpkin bread (x loaves) is sold for $5 each. So the revenue from pumpkin bread is ( 5 \times x = 5x ).
  • Zucchini bread (y loaves) is sold for $4 each. So the revenue from zucchini bread is ( 4 \times y = 4y ).

Step3: Form the Objective Function

The total profit ( P ) is the sum of the revenue from pumpkin bread and zucchini bread. So ( P = 5x + 4y ).