# A Nut Case

In: Other Topics

Submitted By immijii
Words 343
Pages 2
A nut case:
Part A:
Yes we are agree with controllers recommendations because these two products cluster and crunch reducing our profit.
Part B:
Decision Variables:
Let X1 be the pounds of whole product to be produced
Let X2 be the pounds of cluster product to be produced
Let X3 be the pounds of crunch product to be produced
Let X4 be the pounds of roasted product to be produced +0.71X1 | -0.18X2 | -0.07X3 | +0.11X4 | | | | |
Objective function:

Max (z) =
Constraints:
| whole | cluster | crunch | roasted | | | | | hulling | 1x1 | +1x2 | +1x3 | +1x4 | <=3600 | roasting | 2x1 | +1.5x2 | +1x3 | +1.75x4 | <=3600 | coating | 1x1 | +0.7x2 | +0.2x3 | +0x4 | <=3600 | packaging | 2.5x1 | +1.6x2 | +1.25x3 | +1x4 | <=3600 |

Part C:
Create a spread sheet model and solve it on solver
Part D:
The optimal solution is 1022.4 and we just made “whole” product 1440
Part e:
Create a sensitivity report for this solution
Part f:
The solution is non-degenerated because there is no zero value in allowable decrease and increase in second part of sensitivity report.
Part G:
The solution is unique because there is no zero value in allowable increase or decrease of first part in sensitivity report.
Part H:
If MNC wanted to decrease the production of any product they must be reduce the production of cluster product because this product giving us more loss.
Part I:
If MNC wanted to increase the production of any product they must be increase the production of “whole” product because this product giving us more profit.
Part J:
If MNC eliminate the production of other products except whole product they should increase their revenue .and if MNC increase their packaging department.
Part K:
There is no need to acquire more chocolate because they already have spare chocolate and they are just utilizing 733.33 pounds of chocolate…...

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