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A Company Produces Three Products Which Must Be Painted,assembled,and Inspected

Question 73

Essay

A company produces three products which must be painted,assembled,and inspected.The machinery must be cleaned and adjusted before each batch is produced.They want to maximize their profits for the amount of operating time they have.The unit profit and setup cost per batch are:
 Product  Profit per unit  Setup cost per batch 19500210600312650\begin{array} { r r r } \text { Product } & \text { Profit per unit } & \text { Setup cost per batch } \\\hline 1 & 9 & 500 \\2 & 10 & 600 \\3 & 12 & 650\end{array}
The operation time per unit and total operating hours available are:
 Operating Time per Unit  Operation  Product 1  Product 2  Product 3  Operating Hours Available  Paint 122400 Assemble 232600 Inspection 243540\begin{array}{c}\text { Operating Time per Unit }\\\begin{array} { l c c c c } \text { Operation } & \text { Product 1 } & \text { Product 2 } & \text { Product 3 } & \text { Operating Hours Available } \\\hline \text { Paint } & 1 & 2 & 2 & 400 \\\text { Assemble } & 2 & 3 & 2 & 600 \\\text { Inspection } & 2 & 4 & 3 & 540\end{array}\end{array}
Formulate the ILP for this problem.

Correct Answer:

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Xi = amount of product i produ...

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