Quantitative Analysis Assignment

Quantitative Analysis Assignment

1.            Explain what it means for an assignment model to be balanced. (At least 150 words.)

2.            Explain the purpose of the transshipment constraints in the linear program for a transshipment model. (At least 200 words.)

3.            Describe a problem that can be solved by using the shortest-route model.

4.            The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back the production capacities at its other two factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses. The table on this page provides the requirement at each of the warehouses, the capacity at each of the factories, and the shipping cost per unit to ship from each factory to each warehouse. Find the least-cost way to meet the requirements given the capacity at each factory

To From               Albuquerque     Boston  Cleveland            Capacity

DES MOINES      $5           $4           $3           300

EVANSVILLE       $8           $4           $3           150

FORT LAUDERDALE          $9           $7           $5           250

REQUIREMENTS               200         200         300        

5.            In a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in the following table. The plant supervisor would like to assign jobs so that total time is minimized. Find the best solution. Which assignments should be made?

                Machine

Job         W            X             Y              Z

A12        10           14           16           13

A15        12           13           15           12

B2           9              12           12           11

B9           14           16           18           16

6.            Is the transportation method an example of decision making under certainty or decision making under uncertainty? Why? (At least 200 words.)