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

Explanation:

Step1: Define objective goal

The goal is to maximize total revenue from selling bread loaves.

Step2: Calculate revenue per bread type

Pumpkin bread: $5 per loaf, so revenue from x loaves is $5x$.
Zucchini bread: $4 per loaf, so revenue from y loaves is $4y$.

Step3: Sum revenues for total profit

Total revenue $P$ is the sum of the two revenue streams.
$P = 5x + 4y$

Answer:

$P = 5x + 4y$ (corresponding to the third option)