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.
For the production combination of 600 bagels and 800 croissants, which resource is slack (not fully used)?
A)flour (only)
B)sugar (only)
C)flour and yeast
D)flour and sugar
E)yeast and sugar

Question

Quizplus · Accepted Answer

For 600 bagels, the shop would need 600*6 = 3600 ounces of flour, 600*1 = 600 grams of yeast, and 600*2 = 1200 tablespoons of sugar. For 800 croissants, the shop would need 800*3 = 2400 ounces of flour, 800*1 = 800 grams of yeast, and 800*4 = 3200 tablespoons of sugar. Totaling these gives 6000 ounces of flour, 1400 grams of yeast, and 4400 tablespoons of sugar. Thus, flour (6600-6000=600 ounces left) and sugar (4800-4400=400 tablespoons left) are not fully used, making them the slack resources.

A Local Bagel Shop Produces Two Products: Bagels (B)and Croissants