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The Donnor meat processing firm produces wieners from four ingredients: chicken, beef, pork, and a cereal additive. The firm produces three types of wieners: regualr beef, and all-meat. The company has the following amounts of each ingredient available on a daily basis:
Chicken 200 $.20Beef 300 .30Pork 150 .50Cereal additive 400 .05
Each type of wiener has certain ingredient specifications, as follows.
Specifications Selling Price/poundRegular Not more than 10% beef&pork comboNot less than 20% chicken .90Beef Not less than 75% beef 1.25All-meat No cereal additiveNot more than 50% beef&pork combo 1.75
The firm wants to know how many pounds of wieners of each type to produce to maximize profits.
a. Formulate a linear programming model and solve the model by using a computer.
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1 consider the following lpmaximize z4x15x23x3subject tox1x24x3le6x12x2x3le7x14x22x3le12a add slack variables x4 x5 and
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