Question B. The next six questions are related to this part. The Bine Airy Co. must manufacture at least 2000 units of a product using some combination of five possible assembly lines. Each assembly line that is operated requires a fixed setup cost to prepare the line for the manufacturing process. (Note, this setup cost is required only if the line is used for production). There is a (variable) production cost for each unit produced on each line. The table below gives the setup cost, production cost per unit as well as the production capacities of each line. Line Setup Cost ($) Unit Production Cost ($) Production Capacity (units) 600 A 100 6 B 70 7 800 C 120 6 700 D 110 8 1000 E 80 10 900 The company would like to minimize the total cost (setup + production) required to produce at least 2000 units. Formulate a linear mixed integer program for this problem. Let Xi: Number of units produced on line i yi = 1 if line i is used for production, and 0 otherwise, for i=A,B,C,D,E. Question B.1. True or False? The objective can be expressed as Min 6XA yA + 7XB YB + 6xc yc+8XD YD + 10xe Ye + 100yA + 70yB+ 120yc+ 110yp + 80ye Question B.2. True or False? The constraint Xa+XB+Xc+Xp+XE 2000 should added to the formulation. Question B.3. True or False? The constraint xa s 600 ya should be added to the formulation. Ekran Resmi Question B.4. True or False? The constraint xp + XE S 1 expresses the condition that if line D is operated, then line E cannot be operated. 2 Question B.5. True or False? The condition that says "if lines A or B are operated, then lines C and E must also be operated" is imposed by constraints yc + ye > 2ya and yc + YE > 2ys together. Question B.6. True or False? The condition that says "if line C is operated, then the combined amount of production in lines A, B and D cannot exceed 1900 units is imposed by the constraint XA + XB + XD S 1900yc