Review1_12S (1) - MANAGEMENT SCIENCE(MGMT 306 Spring Review...

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MANAGEMENT SCIENCE (MGMT 306) Spring Review Problems for Exam 1 Reminders: - The exam is on February 14, Tuesday, 6:30 – 7:30 p.m. in EE129 or EE170. Room and seating assignments will be announced on Katalyst. - The exam will be closed book and notes. You may bring a single 8.5” x 11” sheet of “crib” notes written on both sides to use in the exam. - Students who are eligible for a make-up exam or need extra time must contact the instructor at least one week prior to the exam date. - The exam will consist of two parts: Part 1: Multiple choice questions on basic concepts of linear and non-linear programming, the graphical solution method, Excel model and Solver’s parameters of linear programs, and sensitivity analysis of linear programs using the Excel output. Part 2: Linear programming modeling questions.   Question I. Using the following constraints and their graphical representation, answer the following multiple- choice questions. The shaded region with corner points A, B, C, D is the feasible region. 1
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1. If the objective function is to Minimize -x + 2y, which of points A, B, C, D is optimal? a. Point A b. Point B c. Point C d. Point D 2. If the objective function is to Maximize 3x + 5y, which of points A, B, C, D will be optimal? 3. At which of the points A, B, C, D does constraint 3 have a surplus (is not binding)? 4. If x – y 2 is added as an additional constraint, which of the points A, B, C and D will still be feasible? 5. Which of the following changes would make the feasible region infeasible (empty)? a. Add y 6 as a new constraint b. Add x + y 5 as a new constraint c. Add x 7 as a new constraint d. Delete constraint 3
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