Question: Emerald Electronics has two manufacturing plants and four regional distribution centers located in Aurora, Bend, Clearlake, and Dayton. The cost (in $) to ship a

Emerald Electronics has two manufacturing plants and four regional distribution centers located in Aurora, Bend, Clearlake, and Dayton. The cost (in $) to ship a unit of the electronics equipment from each of the plants to each of the distribution centers is given in the table below. The capacity and the demand are both measured in units of equipment. Aurora Bend Clearlake Dayton Capacity Plant 1 3 2. 7 6 350 Plant 2 5 8 4 9 400 Demand 200 100 250 150 The supply chain manager is seeking the lowest cost solution to ship the product from the plants to distribution centers. For convenience, in the linear programming model formulation, we simply use subscripts 1, 2 to denote plants 1, 2; and A, B, C, and D to denote the distribution centers in Aurora, Bend, Clearlake, and Dayton, respectively. For example, the decision variable Xla represents the number of units of equipment shipped from plant 1 to Aurora. Answer the following questions based on the information given. Question 32 (4 points) How many constraints (excluding the nonnegatively constraints) does the linear programming model have? 7 2 4 Question 33 (4 points) What is the constraint for Plant 1? X2A+ X18+ X10 + X10 $ 350 O 3 X1A+ 2 X18 + 7 X10 + 6 X1D $ 350 OX1A+ X1B + X1c + X1D = 350 3X1A+ 2 X 18 + 7 X10 + 6 X1D = 350 1AT 2 A1B A1B+ / X10 + 6 X1D = 350 Question 34 (4 points) What is the constraint for the distribution center in Clearlake? 07 X1c +4 X2c $ 250 7 X10 + 4 X2c = 250 X10 + X2C

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