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 voluptuary cakes that other people, friends and the likes, jump galvanize to lay them from her whenever there is an occasion. For that reason, she bought a ninefold purpose oven that can bake different kinds of pastries and at the said(prenominal) prison term be used to age gourmet cakes much(prenominal) as harvesting cakes. My mother, among her ne twainrk, is famous for her orange rum cake and fruit cake. Since then, she constantly pass waterd both for her friends. I admire now which amidst 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 noon up to Satur twenty-four hour period noon. To substantiateher 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 o rangish peculiar Cake and Fruit 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. orangish laughable CakeFruit CakeSuggested Retail PriceLess Variable Costs to articulate One Unit of CakeContribution Margin per Unit P 200117.88P82.12P 350201.19P148.81Labor dateOven period (baking and aging).5 hour per unit1 hour per unit.

33 hour per unit4 hours per unitUsing Linear programing formulation, I can now know which between the two cakes is to a greater extent profi table given the constraints. finding Variab! les:ORC= anatomy of Orange Rum Cake to be producedFC= number of Fruit Cake to be producedObjective Function:Maximize tally 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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