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

To determine which resources are slack, we calculate the usage for each resource for 600 bagels and 800 croissants. For bagels: Flour = 600 bagels * 6 ounces/bagel = 3600 ounces Yeast = 600 bagels * 1 gram/bagel = 600 grams Sugar = 600 bagels * 2 tablespoons/bagel = 1200 tablespoons For croissants: Flour = 800 croissants * 3 ounces/croissant = 2400 ounces Yeast = 800 croissants * 1 gram/croissant = 800 grams Sugar = 800 croissants * 4 tablespoons/croissant = 3200 tablespoons Total usage: Flour = 3600 + 2400 = 6000 ounces Yeast = 600 + 800 = 1400 grams Sugar = 1200 + 3200 = 4400 tablespoons Comparing to available resources: Flour (6600 available - 6000 used) = 600 ounces slack Sugar (4800 available - 4400 used) = 400 tablespoons slack Yeast is exactly used up (1400 available = 1400 used), so it is not slack. Therefore, both flour and sugar are slack resources.

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