Mother's Novelty Cakes (Using Linear Programming)

My mother loves to make covers and pastries whenever she is off from work. She makes really exquisite hedonic cakes that other people, friends and the likes, jump bug out to lay them from her whenever there is an occasion. For that reason, she bought a bigeminal purpose oven that can bake different kinds of pastries and at the said(prenominal) clock be used to age gourmet cakes much(prenominal) as harvest-feast cakes. My mother, among her ne twainrk, is famous for her orange rum cake and fruit cake. Since then, she constantly seduced both for her friends. I admire now which between the two is most profitable apt(p) her limited time to prepare such orders. My mother makes her orders from Fri twenty-four hour period high noon up to Satur solar day noon. To suither with her house help, they work from Friday noon until midnight and start again 7 in the morning the following day up to noon time. Ingredients, costing, and procedure for making orangish amusing Cake and Fr uit cake can be seen in Annex A and B. The time requirements for each of the two cakes, their suggested merchandising prices, their variable costs, and their contribution margins appear in the table below. chromatic laughable CakeFruit CakeSuggested Retail PriceLess Variable Costs to break One Unit of CakeContribution Margin per Unit P 200117.88P82.12P 350201.19P148.81Labor dateOven beat (baking and aging).5 hour per unit1 hour per unit.

33 hour per unit4 hours per unitUsing Linear programming formulation, I can now know which between the two cakes is to a greater extent profitable given the constraints. finis h Variables:ORC= scrap of Orange Rum Cake t! o be producedFC= number of Fruit Cake to be producedObjective Function:Maximize entireness Contribution Margin = P82.12 ORC + P148.81 FCSubject to:ORC, FC= 0(non negativity constraint).5 ORC + .33 FC= 240 P 1970.88Ranging:VariableValueReduced CostOriginal ValLower BoundUpper BoundORC24082.1237.2InfinityFC0179.67148.81Infinity328.48ConstraintDual ValueSlack/SurplusOriginal ValLower BoundUpper BoundLabor Hours051712 InfinityOven Hours (baking... If you want to get a full essay, order it on our website: OrderCustomPaper.com

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