Question

Santino runs a bakery that sells two kinds of pies. Santino knows the bakery must make at least 2 and at most 60 batches of the Nutty Squirrels. The bakery must also make between 10 and 38 batches of the Fluffy Deliciousness. The batches of Nutty Squirrels take 19 ounces of flour, while batches of Fluffy Deliciousness require 15 ounces of flour. The bakery only has 1425 ounces of flour available. If batches of Nutty Squirrels generate $1.77 in profit, and batches of Fluffy Deliciousness generate $2.94, how many batches of the pies should Santino have the bakery make to get the most profit? Nutty Squirrels: Fluffy Deliciousness: Best profit:

Answer 1

To determine the number of batches of pies that maximize profit, we need to create an equation considering the constraints and use linear programming to solve it.

Step-by-step explanation:

To maximize profit, Santino should determine the number of batches of Nutty Squirrels and Fluffy Deliciousness pies that will generate the most profit within the given constraints. Let's assume the number of batches of Nutty Squirrels is x and the number of batches of Fluffy Deliciousness is y.

Since the bakery must make at least 2 and at most 60 batches of Nutty Squirrels, the inequality 2 ≤ x ≤ 60 applies. Similarly, the range for Fluffy Deliciousness is given by 10 ≤ y ≤ 38.

To form an equation, we need to consider the total amount of flour used. The Nutty Squirrels pies require 19 ounces of flour per batch, and the Fluffy Deliciousness pies require 15 ounces of flour per batch. Therefore, the equation is 19x + 15y ≤ 1425.

Since we are looking for the maximum profit, we can use linear programming to solve this problem graphically or with computational methods. The solution will provide the optimal values for x and y.