Linear Programming: How Many Boxes Would I Need?
Added on 2021-06-17
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Running head: LINEAR PROGRAMMINGLinear ProgrammingName of the Student: Name of the University: Author’s Note:
1LINEAR PROGRAMMINGTable of ContentsRequirement 1:.................................................................................................................................2Requirement ii:................................................................................................................................2Requirement iii:...............................................................................................................................3Requirement iv:...............................................................................................................................4Requirement v:.................................................................................................................................4Requirement vi:...............................................................................................................................5Decision Table:................................................................................................................................5Total Net Profit:...............................................................................................................................6Total Contribution:..........................................................................................................................7Bibliography....................................................................................................................................8
2LINEAR PROGRAMMINGRequirement 1:In order to have an idea about the number of boxes that would produced for each of the product,it is seen that 33333 boxes would be required in order to pack the premium chocolate bars and80000 boxes would be required in order to pack the dark couverture. In case of packing thechocolate sauce, there are no boxes required and therefore in an overall manner it is observedthat there is a requirement of 113333 boxes in order to pack all the chocolates and thereafteroffer for sales in the market. The linear program for the same is given below:Max 12A + 14B + 11CWhere, 0.18A <= 6000 kgs.0.2B <= 30000 kgs.0.25C <= 24000 kgs.0.18A + 0.2B + 0.25C <= 30000 kgs.Requirement ii:In accordance to this question, it is seen that the total amount of cocoa powder that ispurchased for the purpose of manufacturing is 30000 units and the overall expense for the sameis $540,000. However, it is observed that the overall consumption of cocoa that is used in orderto manufacture the chocolate bars, chocolate sauce and dark couverture is seen to be 25999.94units. Therefore there has been an observation that approximately 4000 units of cocoa remainsunused and therefore gets wasted and the cost that is associated with that amount of cocoa is an
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