Pastry Monster specializes in cookies and cakes. Profit per dozen of cookies is P5.00 and the profit per cake if P25. It takes one-quarter of an oven-hour to bake a dozen cookies and 1 oven-hour to bake a cake. There are 40 oven-hours available in a week. Aside from the time needed to bake the cookies and cakes, it also takes time to prepare the cookies and cakes for baking. The time required to prepare a cake for baking is 10 times that needed to prepare a dozen cookies for baking. If the entire labor force of Pastry Monster were to concentrate on cakes alone, they will be able to prepare the equivalent of 200 cakes per week for baking. Sales of cookies are not expected to exceed 250 dozens in a week. Formulate the linear programming model for Pastry Monster.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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. Pastry Monster specializes in cookies and cakes. Profit per dozen of cookies is P5.00 and the profit
per cake if P25. It takes one-quarter of an oven-hour to bake a dozen cookies and 1 oven-hour to
bake a cake. There are 40 oven-hours available in a week. Aside from the time needed to bake the
cookies and cakes, it also takes time to prepare the cookies and cakes for baking. The time required
to prepare a cake for baking is 10 times that needed to prepare a dozen cookies for baking. If the
entire labor force of Pastry Monster were to concentrate on cakes alone, they will be able to prepare
the equivalent of 200 cakes per week for baking. Sales of cookies are not expected to exceed 250
dozens in a week. Formulate the linear programming model for Pastry Monster.
Transcribed Image Text:. Pastry Monster specializes in cookies and cakes. Profit per dozen of cookies is P5.00 and the profit per cake if P25. It takes one-quarter of an oven-hour to bake a dozen cookies and 1 oven-hour to bake a cake. There are 40 oven-hours available in a week. Aside from the time needed to bake the cookies and cakes, it also takes time to prepare the cookies and cakes for baking. The time required to prepare a cake for baking is 10 times that needed to prepare a dozen cookies for baking. If the entire labor force of Pastry Monster were to concentrate on cakes alone, they will be able to prepare the equivalent of 200 cakes per week for baking. Sales of cookies are not expected to exceed 250 dozens in a week. Formulate the linear programming model for Pastry Monster.
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