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Material Type: Exam; Professor: Rego; Class: Prod and Delivery of Goods and Services; Subject: Management; University: University of Mississippi Main Campus; Term: Spring 2011;
Typology: Exams
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Production and Delivery of Goods and Services Instructor: Dr. Rego
Exam 1 โ Part 2 (Answer Key) Spring 2011
Name: __________________________________ ID:____________________
Use the following to answer questions 1-6:
Here is a LP model of a situation that involves the production of three possible products, each of which will yield a certain profit per unit, and each requires a certain use of three resources that are limited in supply: labor, material, and machine. The objective is to determine how much of each product to make to achieve the greatest possible profit while satisfying all constraints.
Figure S14.1 - Formulation
Table S14.1 - Sensitivity Report
Adjustable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$4 Optimal Values: A 0 -10.6 15 10.6 1E+ $C$4 Optimal Values: B 5 0 20 2.4 10. $D$4 Optimal Values: C 32 0 14 36 1.
Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H.S. Side Increase Decrease $E$7 Constraint 1 (Labor) 158 0 210 1E+30 52 $E$8 Constraint 2 (Material) 200 2.4 200 70.90 30 $E$9 Constraint 3 (Machine) 170 0.4 170 30 120
Maximize 15 20 14 Subject to Labor 5 6 4 210 hours Material 10 8 5 200 pounds 4 2 5 170 minutes , , 0
A B C
A B C A B C A B C A B C
Use the following to answer questions 12-16:
Activity (^) PredecessorImmediate Time (days) A -- 8 B -- 6 C -- 3 D A,B 10 E C 8 F A 5 G D,E 3 H G 4
Table 9.
Use the following to answer questions 17-20:
A project consists of the following activities and time estimates:
Immediate Time Estimates (days) Activity Predecessor Optimistic Most Likely Pessimistic A - 38 50 62 B - 90 99 108 C - 85 100 115 D A 19 25 31 E B 91 100 115 F D 62 65 68
Table 9.