Stephen gonzales amandeep tamber ross nakata jonathan gutierrez
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No Backlogging Problem # 1(pg.104) October 20,2011 PowerPoint PPT Presentation


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Stephen Gonzales, Amandeep Tamber, Ross Nakata, Jonathan Gutierrez. No Backlogging Problem # 1(pg.104) October 20,2011. Outline. Problem Statement Problem Summary Assumptions Formulation Constraints Input Values Solutions Sensitivity Analysis Report to Manager . Problem Statement.

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No Backlogging Problem # 1(pg.104) October 20,2011

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Stephen gonzales amandeep tamber ross nakata jonathan gutierrez

Stephen Gonzales, Amandeep Tamber, Ross Nakata, Jonathan Gutierrez

No BackloggingProblem # 1(pg.104)October 20,2011


Outline

Outline

  • Problem Statement

  • Problem Summary

  • Assumptions

  • Formulation

  • Constraints

  • Input Values

  • Solutions

  • Sensitivity Analysis

  • Report to Manager


Problem statement

Problem Statement

A customer requires during the next four months, respectively, 50, 65, 100, and 70 units of a commodity (no backlogging is allowed). Production costs are $5, $8, $4, and $7 per unit during these months. The storage cost from one month to the next is $2 per unit (assessed on ending inventory). It is estimated that each unit on hand at the end of month 4 could be sold for $6. Formulate an LP that will minimize the net cost incurred in meeting the demands of the next four months.


Problem summary

Problem Summary


Assumptions

Assumptions

  • No inventory at beginning of month

  • Unlimited capacity

  • Other costs in production were ignored


Formulation

Formulation

  • Xt = number of commodities produced each month during month t

  • it = number of commodities on hand at the end of month t

  • where t=1,2,3,4 for each month in the problem.

  • O.F MINIMIZE COST

    Z = 5x1+8x2+4x3+7x4+2i1+2i2+2i3-6i4


Constraints

Constraints


Input values

Input Values


Solution

Solution


Solution table

Solution Table


Sensitivity analysis

Sensitivity Analysis


Sensitivity analysis cont

Sensitivity Analysis Cont.


Report to manger

Report to Manger

  • The minimum cost we calculated is $1,525


Report to manager

Report to Manager

For month 2:


No backlogging problem 1 pg 104 october 20 2011

Questions?


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