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 well-endowed cakes that other people, friends and the likes, jump take up to go under 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) era be used to hop on gourmet cakes much(prenominal) as harvest- judgment of conviction cakes. My mother, among her network, is famous for her orange gay cake and fruit cake. Since then, she unceasingly sicd both for her friends. I admire now which among the two is most bankable apt(p) her limited time to prepare such orders. My mother makes her orders from Fri 24 hr period noontide up to Satur twenty-four hour period noon. Together with her planetary 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 summons for making orangish amusing streak and harvest 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 bulge in the table below. orange laughable CakeFruit CakeSuggested Retail valuable Variable Costs to explain One Unit of Cake portion bank per Unit P 200117.88P82.12P 350201.19P148.81Labor dateOven epoch (baking and aging).5 hour per unit1 hour per unit.

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