Management Science Essay

399 Words2 Pages
Introduction to Management Science 61.252 Midterm Exam October 29, 2002 Answer 25 of the following 30 questions. Graphical Solutions of Linear Programming Models 1. Which of the following is not a necessary assumption for a linear programming function to be used effectively? a. linearity b. certainty c. divisibility d. exponentiality The region which satisfies all of the constraints in a graphical linear programming problem is called the a. region of optimality b. feasible solution space c. region of non-negativity d. optimal solution space 2. Computer Solution 3. The production manager for the Whoppy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. Two of her resources are constraint production time (8 hours = 480 minutes per day) and syrup (1 of her ingredients) limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drinks are $3.00 per case and profits for diet soft drinks are $2.00 per case. Which of the following is not a feasible production combination? a. 135R and 120D b. 135R and 0D c. 0R and 120D d. 75R and 90D Sensitivity Analysis 4. In linear programming, sensitivity analysis is associated with (1) objective function coefficient (2) right hand side values of constraints (3) constraint coefficient a. 1 and 2 b. 2 and 3 c. 1 and 3 d. 1, 2 and 3 Page 2 A Diet Example 5. Which of the equations? 1. 3x + 2. 6x + a. x = 1 / y b. x = 1 / y c. x = 2 / y d. x = 0 / y choices below constitutes a simultaneous solution to these 2y = 6 3y = 12 = 0 = 2 = 0 = 2 A Blend Example 6. A croissant shop produces 2 products: bear claws (B) and almond filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS of almond paste. An almond filled croissant requires

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