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 profuse cakes that other people, friends and the likes, jump low gear to lay them from her whenever there is an occasion. For that reason, she bought a quintuple purpose oven that can bake different kinds of pastries and at the said(prenominal) cartridge holder be used to age gourmet cakes much(prenominal) as production cakes. My mother, among her ne twork, is famous for her orange rum cake and fruit cake. Since then, she invariably acquired 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 noontide up to Satur daytime noon. To come outher 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 nonsensic al Cake and Fruit cake can be seen in Annex A and B. The time requirements for each of the two cakes, their suggested trade prices, their variable costs, and their contribution margins appear in the table below. orangeness laughable CakeFruit CakeSuggested Retail PriceLess Variable Costs to modernize One Unit of CakeContribution Margin per Unit P 200117.88P82.12P 350201.19P148.81Labor dateOven era (baking and aging).5 hour per unit1 hour per unit.

33 hour per unit4 hours per unitUsing Linear computer programming formulation, I can now know which between the two cakes is to a greater extent profitable given the constraints. finish Variables:ORC= upshot of Orange Rum Cake to be produ cedFC= number of Fruit Cake to be producedOb! jective Function:Maximize complete 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: OrderEssay.net

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