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Profit by Production

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Submitted By Rein
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Analysis
The goal of "Bangalore Textile Company" is to make profit through production of the suit materials and sell in the market. In order to meet the demand from the market, in case of production shortage, the company may also has to purchase some materials from other production plant and then resell to the market as well. The information of production cost, selling price and purchase price from other plants are provided. The table below shows the profit for production profit and trading from purchasing and reselling profit.
Table 1: Profit by production for each material Material | Selling price | Production cost | Production profit* | 1 | $18.50 | $14.10 | $4.40 | 2 | $20.50 | $16.30 | $4.20 | 3 | $22.60 | $17.90 | $4.70 | 4 | $27.90 | $22.40 | $5.50 | 5 | $29.85 | $24.15 | $5.70 | 6 | $32.75 | $26.70 | $6.05 |
*Production profit equals selling price less production cost

Table 2: Profit by reselling for each material Material | Selling price | Purchasing price | Resell profit* | 1 | $18.50 | $16.55 | $1.95 | 2 | $20.50 | $18.35 | $2.15 | 3 | $22.60 | $20.25 | $2.35 | 4 | $27.90 | $25.30 | $2.60 | 5 | $29.85 | $27.10 | $2.75 | 6 | $32.75 | $29.85 | $2.90 |
*Resell profit equals selling price less purchasing price

The two profit tables suggest that production profit are higher than resell profit for each material. The amount of materials to be produced by each type of machines and / or to be purchased from other plants are to be determined by the linear programming model, the table below shows the decision variables defined.

Table 3: Decision variables definition S1 | Total meters produced by super machine for Material 1 | S2 | Total meters produced by super machine for Material 2 | S3 | Total meters produced by super machine for Material 3 | S4 | Total meters produced by super machine for Material 4 | S5 |

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