1) Linear Programming technique is used to allocate scarce resources in an optim
ID: 421225 • Letter: 1
Question
1) Linear Programming technique is used to allocate scarce resources in an optimum manner in problems of a. Product Mix b. Schedule . Both A and B d. Servicing Cost 2) In the workforce scheduling problem, x, represents: the number of days in the work week 9 the number of workers scheduled on day i d. the number of workers on day i. a. b. the number of workers who start work on day i 3) Which statement characterizes standard form of a linear programming problem? a. Constraints are given by inequilities of any type Constannts are given by a set of linear equations c. Constraints are given only by inequalities of type Lonstraints are given only by inequalities of otype 4) Which is a linear function of xi, 2, and xy? b.xy/2x1-17000k 5) Maximize z2x+7 y subject to: 3x-2ys and+ 3y2 -1 for non-negative x and y. x a. A, B, and C and B c. A and C 1 90 d, B and C e, Only B Consider the following problem description for solving questions 6-10 A factory produces product W, X, and Y Product X takes 2 hours of labor and consumes W takes 5 hours of labor and consumes 3 pounds of material. hours of labor and consumes pounds of materials 6 products orpe W are packed in a box, 10 products type X are of produer Y prouced in a week) onstraints forth isproblem would possibly be: b.sw.zx n If the profit per box is $90 for product W, $100 for product X, and $96 for product Y, the objective function for this problem would possibly be: Max Z-90W+100X+96Y c. Mal-15W+10X + 12Y b. Max Z-W+x+Y d. Max Z-6W+10X+8Y ion ofproducty cannot exceed that ofproductX by more 10% then this restriction 8) If the weekly producti would be written as: d. XSY-10 s 1.ix weekly number of boxes of product W cannot go below that of product Y by more than two boxes then this constraint would be expressed as: d. 6Ws8Y+2 ber ofproduct X must be no more than 25% of the weekly production%, then this restriction would 0) If the numb expressed as: Mojahid F.Soced OumanINE222/Spring 2018 17Qui: 1/Febrary 06. 201Explanation / Answer
Answer 1: Option C: Both A and B
Linear Programming technique is used to allocate scarce resources in an optimum manner in problems of schedule and product mix.
Answer 2: Option: D the number of worker on day I
Xi is the number of worker assigned to pattern i
Answer 3: Option D: Constraints are given only by inequalities of <= type
Answer 4: Option C: 3x1 -19x2 +0.5x3
Answer 5: Option B: A and B
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