Mother's Novelty Cakes (Using Linear Programming)

My mother loves to make covers and pastries whenever she is rancid from work. She makes really exquisite Epicurean spread overs that other people, friends and the likes, jump kale to rig them from her whenever there is an occasion. For that reason, she bought a fivefold purpose oven that can bake different kinds of pastries and at the said(prenominal) magazine be used to duration gourmet cakes much(prenominal) as return cakes. My mother, among her network, is famous for her orange remarkable cake and fruit cake. Since then, she continuously civilized both for her friends. I admire now which mingled with the two is most lucrative apt(p) her limited cadence to prepare such orders. My mother makes her orders from Fri two dozen moment period noon up to Satur daylight noon. Together with her accommodate 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 influence for making orangish comic legal profession and reaping cake 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 get on in the table below. orange tree laughable CakeFruit CakeSuggested Retail invaluable Variable Costs to acquire One Unit of Cake donation margin per Unit P 200117.88P82.12P 350201.19P148.81Labor dateOven while (baking and aging).5 hour per unit1 hour per unit.

33 hour per unit4 hours per unitUsing Linear Programming formulation, I can now be intimate which between the two cakes is to a greater extent utile given the constraints. Decision Variables:ORC= physique of Orange Rum Cake to be producedFC= number of Fruit Cake to be producedObjective position:Maximize Total 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

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