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 $0.40; and for a box of Classic crackers,$0.50.Using the graphical method,what are profits for the optimal production combination?
A)$800
B)$500
C)$640
D)$620
E)$600

Question

Quizplus · Accepted Answer

The optimal production combination is determined by maximizing the profit function subject to the constraints of available ingredients. By solving the linear programming problem graphically, the optimal solution is found to be 800 boxes of Deluxe and 400 boxes of Classic crackers, resulting in a total profit of $640.

The Owner of Crackers,Inc