PracticeExam1Solutions

# PracticeExam1Solutions - Decision Modeling and Applications...

This preview shows pages 1–4. Sign up to view the full content.

Decision Modeling and Applications MBAC6080, Spring 2005 Instructor: Thomas Vossen Midterm Exam – Practice Solutions Score:________ Max: 100 points Name:__________________________________(4pts) Instructions: Make sure to sign the honor code pledge ! I cannot accept exams without your signature. For full credit, complete solutions must be provided to all problems. An answer without motivation or explanation is not acceptable. I expect that you clearly organize and format the answers to the solutions . Note: Carefully read the questions before you start working on the solutions. Clearly state your assumptions (if any), and try to keep your solutions as simple as possible. Honor Code Pledge “On my honor, as a University of Colorado at Boulder student, I have neither given nor received unauthorized assistance on this work.” Signature:____________________________

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Question 1 (16pts): Graphical Method Consider the following linear programming problem: Min Z = 3 x 1 + 2 x 2 subject to: 2 x 1 + x 2 8 ( C1) 2 x 1 + 3 x 2 = 12 ( C2 ) 2x 1 8 x 2 ( C3 ) x 1 , x 2 0 0 2 4 6 8 10 12 0 2 4 6 8 10 12 On the diagram above: a. Plot and label the constraints b. Shade the feasible region c. Graph the objective function d. Identify and label the optimal solution e. If constraint C3 is changed from a less-than ( ) to greater-than ( ), what is the effect on the problem? Unbounded problem Infeasible problem Alternate optima No change Other, we will have another feasible region and optimal solution (at the intersection of the constraint boundaries of C2 and C3. C1 C3 C2 Z=12 Optimal soln: X1= 3, X2 =2
Question 2(16 pts): LP Formulation The Weigelt Corporation has three branch plants with excess production capacity. Fortunately, the corporation has a new product ready to begin production, and all three plants have this capability, so some excess capacity can be used in this way. This product can be made in three sizes - large, medium, and small - that yield a new unit profit of \$420, \$360, and \$300, respectively. Plants 1, 2, and 3 have the excess capacity to produce 750, 900, and 450 units per day of this product, respectively, regardless of the size or combination of sizes involved. The amount of available in-process storage space also imposes a limitation on the production rates of the new product. Plants 1, 2, and 3 have 13,000, 12,000, and 5,000 square feet, respectively of in-process storage space available for a day's production of

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 05/31/2008 for the course MBAC 6080 taught by Professor Vossen during the Spring '08 term at Colorado.

### Page1 / 10

PracticeExam1Solutions - Decision Modeling and Applications...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online