The owner of Crackers, Inc., produces two kinds of crackers: Deluxe (D)and Classic (C). She has a limited amount of the three ingredients used to produce these crackers available for her next production run: 4,800 ounces of sugar; 9,600 ounces of flour, and 2,000 ounces of salt. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt. Profits for a box of Deluxe crackers are $.40; and for a box of Classic crackers, $.50. What is the constraint for sugar?
A)2 D + 3 C ≤ 4,800
B)6 D + 8 C ≤ 4,800
C)1 D + 2 C ≤ 4,800
D)3 D + 2 C ≤ 4,800
E)4 D + 5 C ≤ 4,800

Question

Quizplus · Accepted Answer

The constraint for sugar is determined by the amount of sugar required to produce 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 is represented by the equation 2D + 3C ≤ 4,800, where D is the number of Deluxe boxes and C is the number of Classic boxes.

The Owner of Crackers, Inc