The owner of Crackers, Inc. produces both Deluxe (D) and Classic (C) crackers. She only has 4,800 ounces of sugar, 9,600 ounces of flour, and 2,000 ounces of salt for her next production run. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce. A box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt to produce. Profits are 40 cents for a box of Deluxe crackers and 50 cents for a box of Classic crackers. Cracker's, Inc. would like to maximize profits.
What is the sugar constraint?
A) 2D + 3C ≤ 4,800
B) 6D + 8C ≤ 4,800
C) 1D + 2C ≤ 4,800
D) 3D + 2C ≤ 4,800
E) 4D + 5C ≤ 4,800

Question

Quizplus · Accepted Answer

The sugar constraint is based on the requirement for sugar in the production of each type of cracker. Deluxe crackers require 2 ounces of sugar per box, and Classic crackers require 3 ounces of sugar per box. Given the total available sugar is 4,800 ounces, the constraint for sugar usage in production is 2D + 3C ≤ 4,800.

The Owner of Crackers, Inc