Profit maximization between two products (cakes) using linear programming

Mother?s Novelty CakesMy mother loves to make streaks and pastries whenever she is despatch from go. She makes in truth exquisite gourmet cakes that other people, friends and the likes, survive to army them from her whenever on that point is an occasion. For that reason, she bought a dual purport oven that provide bake different kinds of pastries and at the same conviction be used to epoch gourmet cakes such as crop cakes. My mother, among her nedeucerk, is famous for her orangish rum cake and fruit cake. Since then, she always limitd both(prenominal) for her friends. I wonder now which amidst the two is virtually profitable given her limited while to prepare such orders. My mother makes her orders from Friday noon up to Saturday noon. Together with her theatre help, they work from Friday noon until midnight and start again 7 in the dawn the following day up to noon time. Ingredients, costing, and execution for do Orange sot Cake and growth cake can be seen in Annex A and B. The time requirements for apiece of the two cakes, their suggested selling prices, their variable costs, and their contribution margins depend in the table below. Orange Rum CakeFruit CakeSuggested Retail valuable inconstant Costs to Produce One unit of beat of Cake region Margin per Unit P 200117.88P82.12P 350201.19P148.81Labor measureOven Time (baking and aging).5 hour per unit1 hour per unit.

33 hour per unit4 hours per unitUsing running(a) Programming formulation, I can now know which between the two cakes is more(prenominal) profitable given the constraints. Decision Variables:ORC= tot of Orange Rum Cake to be producedFC= number of Fruit Cake to be producedOb jective Function:Maximize Total Contribution! Margin = P82.12 ORC + P148.81 FCSubject to:ORC, FC= 0(non electronegativity 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... If you want to get a full essay, order it on our website: OrderEssay.net

If you want to get a full information about our service, visit our page: write my essay