3.4-14. The Metalco Company desires to blend a new alloy of 40percent tin, 35 percent zinc, and 25 percent lead from several avail-able alloys having the following properties:AlloyProperty12345Percentage of tinPercentage of zincPercentage of lead602545205010154550403060103010Cost ($/lb)7770888494The objective is to determine the proportions of these alloys thatshould be blended to produce the new alloy at a minimum cost.(a) Formulate a linear programming model for this problem.c (b) Solve this model by the simplex method.

Let us assume that x1 as the Portion of Alloy 1, whereas x2 for Portion of Alloy 2. Likewise x3, x4…

Answered: (a) Formulate a linear programming…

Practical Management Science

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A linear programming computer package is needed. Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here. Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 50 42 30 Hours required to complete all the cherry cabinets 60 48 35 Hours available 40 30 35 Cost per hour $36 $42 $55 For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours…
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(a) Formulate a linear programming model for this problem. c (b) Solve this model by the simplex method.