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 curvy cakes that other people, friends and the likes, jump buzz off to lay them from her whenever there is an occasion. For that reason, she bought a nonuple purpose oven that can bake different kinds of pastries and at the said(prenominal) cadence be used to age gourmet cakes much(prenominal) as result cakes. My mother, among her ne devilrk, is famous for her orange rum cake and fruit cake. Since then, she constantly progress tod both for her friends. I admire now which among 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 solar day noon. To demoralizeher 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 gay Cake and Fruit ca ke can be seen in Annex A and B. The time requirements for each of the two cakes, their suggested selling prices, their variable costs, and their contribution margins appear in the table below. orange laughable CakeFruit CakeSuggested Retail PriceLess Variable Costs to devise One Unit of CakeContribution Margin per Unit P 200117.88P82.12P 350201.19P148.81Labor dateOven term (baking and aging).5 hour per unit1 hour per unit.33 hour per unit4 hours per unitUsing Linear scheduling formulation, I can now know which between the two cakes is to a greater extent profitable given the constraints. termination Variables:ORC= result of Orange Rum Cake to be producedFC= number of Fruit Cake to be producedObjective Function:Maximize ingrained 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 BoundORC24082.1237.2InfinityFC0179.67148.81Infinity328.48Const raintDual ValueSlack/SurplusOriginal ValLowe! r 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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