Using Linear Programming Technique to Measure Minimum Total Cost [Case study]

"Abstract The main objective of this study is to calculate the Minimum total Cost and Minimum cost for each product by using linear programming Technique, in one of the ready-to-wear factories. This factory is producing 10 different types of products (5 types of Pants, 2 types of shirts, 1type of long Jacket, 1 type of suit and 1 type of premium suit). This Technique usually used to solve complicated problems in different fields by formulating or changing the problem to Linear Programming model and then solve this model by using Simplex Method. We will use Simplex method which is a simple and powerful tool for solving linear programming Model to calculate the Minimum Cost, because calculating cost is not easy problem. The present study ascertained that there is a significant powerful technique in Quantitative Methods called Linear programming Method that can be used in Optimization cases. This study will provide this Factory and other Factories, particularly in Iraq, an exposure of linear programming Technique in making decisions to determine the minimum total cost and minimum cost for different products.
The result of Statistical analysis exhibited or shows that: 1.The Minimum total cost Z = 3249745000 IQ.D 2. The products which reduce costs within the restrictions are [X2 (suit), X4 (shirt 2), X8 (pants 4) and X10 (premium suit)] 3. The number of units that can be produced from 4 variables as follows:
X2 = 153333 suits, X4 = 49465 shirt 2, X8 = 486666 pants 4 and X10 = 150000 premium suits
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