A Company produces precision medical diagnostic equipment at two factories. Three medical centers have placed orders for this month’s production output. The table Below shows what the cost would be for shipping each unit from each factory to each of these customers. Also shown are the number of units that will be produced at each factory and the number of units ordered by each customer. A decision now needs to be made about the shipping plan for how many units to ship from each factory to each customer. Formulate a linear programming model for this problem. In the given probelm, company produces precision medical diagnostic equipment at two factories i.e.,Fatory 1 and Factory 2. Three medical centers i.e., Customer 1, Customer 2, Customer 3 have placed orders for this month’s production output. Consider variables xijxij that denotes the number of units that are shipped from factory ii to customer jj. Where i=1,2 and j=1,2,3Where i=1,2 and j=1,2,3 The objective function is given by Minimize Z=600x11+800x12+700x13+400x21+900x22+600x23Minimize Z=600x11+800x12+700x13+400x21+900x22+600x23 s ubject to x11+x12+x13=400x21+x22+x23=500x11+x21=300x12+x22=200x13+x23=400x11+x12+x13=400x21+x22+x23=500x11+x21=300x12+x22=200x13+x23=400 and xij≥0,i=1,2 and j=1,2,3 a. Identify the feasible region b. Corner points and value of objective function c. Final Answer
A Company produces precision medical diagnostic equipment at two factories. Three medical centers have placed orders for this month’s production output. The table Below shows what the cost would be for shipping each unit from each factory to each of these customers. Also shown are the number of units that will be produced at each factory and the number of units ordered by each customer. A decision now needs to be made about the shipping plan for how many units to ship from each factory to each customer. Formulate a linear programming model for this problem.
In the given probelm, company produces precision medical diagnostic equipment at two factories i.e.,Fatory 1 and Factory 2. Three medical centers i.e., Customer 1, Customer 2, Customer 3 have placed orders for this month’s production output.
Consider variables xijxij that denotes the number of units that are shipped from factory ii to customer jj. Where i=1,2 and j=1,2,3Where i=1,2 and j=1,2,3
The objective function is given by
Minimize Z=600x11+800x12+700x13+400x21+900x22+600x23Minimize Z=600x11+800x12+700x13+400x21+900x22+600x23
s
ubject to
x11+x12+x13=400x21+x22+x23=500x11+x21=300x12+x22=200x13+x23=400x11+x12+x13=400x21+x22+x23=500x11+x21=300x12+x22=200x13+x23=400
and xij≥0,i=1,2 and j=1,2,3
a. Identify the feasible region
b. Corner points and value of objective function
c. Final Answer
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