There is no answer for this question

Answer:

First, put together the linear programming model; where the destinations are represented with A, B, C and D. The sources are 1-3.

Maximize

This would be subject to the following equations

Representing the supply

Representing the demand

Where,

Now, to solve this transportation problem, use the QM for Window software (provided with the book) following these instructions:

First, open the software; under module, select Transportation. Next, open a blank document. A menu will open; enter the document title if needed. Then, enter the number of Sources (1, 2 and 3) which is 3 for this problem. Enter the number of destinations which is 4 for this problem ( A, B, C and D ). Select OK and a window will show in order to enter the equations. Enter the values for Destination and Sources; second enter the given supply and demand numbers (3 and 4 for this problem); then, select solve on the top right corner and a series of windows with solutions. The window titled: Transportation Shipments has the values of the variables.

From source 1 to destination B the value is 250

From source 1 to destination D the value is 170

From source 2 to destination A the value is 520

From source 2 to destination C the value is 90

From source 3 to destination C the value is 130

From source 3 to destination D the value is 210

Hence,

Answer:

First, the integer programming model needs to be formulated and then solved. Integer programming model should be written using the slack variables in order to have = signs in order to exchange for the

signs (this is at most, hence use

).

Minimize (Units should be used)

Then consider the constrains,

Now, solve the equations using the QM for Window software following these instructions:

First, open the software; under module, select goal programming. Next, open a blank document. A menu will open; enter the document title if needed. Then, enter the number of Constrains which is 3 for this problem. Enter the number of variables which is 3 for this problem. Select OK and a window will show in order to enter the equations. The three bottom equations are the Constraints and the coefficients for the top equations go under the Maximize value. Also, enter the corresponding sing (

; then, select solve on the top right corner and a series of windows with solutions will open.

The following shows the solutions in the Final Tableau window, where

represents labor underutilization and

represents overtime:

The equations with added variables are as follows:

There is no answer for this question

There is no answer for this question

There is no answer for this question