A local bagel shop produces bagels (B) and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's baking. Bagel profits are 20 cents each and croissant profits are 30 cents each. The shop wishes to maximize profits.
What is the objective function?
A) P = 0.3B + 0.2C.
B) P = 0.6B + 0.3C.
C) P = 0.2B + 0.3C.
D) P = 0.2B + 0.4C.
E) P = 0.1B + 0.1C.

Question

Quizplus · Accepted Answer

The objective function represents the total profit, which is calculated as the sum of the profit per bagel ($0.20 or 0.2) times the number of bagels (B) plus the profit per croissant ($0.30 or 0.3) times the number of croissants (C), hence P = 0.2B + 0.3C.

A Local Bagel Shop Produces Bagels (B) and Croissants (C)