18 A local bagel shop produces two products: bagels (B) and croissants (C). Each

Question

18 A local bagel shop produces two products: 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 production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each. What is the sugar constraint (in tablespoons)?

6 B + 3 C <= 4,800

1 B + 1 C <= 4,800

2 B + 4 C <= 4,800

4 B + 2 C <= 4,800

2 B + 3 C <= 4,800

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6 B + 3 C <= 4,800

1 B + 1 C <= 4,800

2 B + 4 C <= 4,800

4 B + 2 C <= 4,800

2 B + 3 C <= 4,800

Explanation / Answer

Solution:

Two products - Bagels (B) and Croissants (C) are there.

Requirement of sugar in a bagel and a croissant is given as;

1 bagel = 2 tablespoons of sugar

1 croissant = 4 tablespoons of sugar

Total available sugar = 4,800 tablespoons

Therefore, sugar constraint (in tablespoons) is given as;

2B + 4C <= 4,800

Answer: 2B + 4C <= 4,800

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