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.
-What is the sugar constraint?
A)6B + 3C ≤ 4,800
B)1B + 1C ≤ 4,800
C)2B + 4C ≤ 4,800
D)4B + 2C ≤ 4,800
E)2B + 3C ≤ 4,800

Question

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.
-What is the sugar constraint?
A)6B + 3C ≤ 4,800 
B)1B + 1C ≤ 4,800 
C)2B + 4C ≤ 4,800 
D)4B + 2C ≤ 4,800 
E)2B + 3C ≤ 4,800

Quizplus · Accepted Answer

Since each bagel requires 2 tablespoons of sugar and each croissant requires 4 tablespoons of sugar, the total sugar used for B bagels and C croissants is 2B + 4C. Therefore, the constraint is 2B + 4C ≤ 4,800.

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