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A firm will make weekly production planning for the production of four new products (products A, B, C and D). The amount of resources required

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A firm will make weekly production planning for the production of four new products (products A, B, C and D). The amount of resources required per unit product the weekly capacity of the firm and the unit profit to be obtained from the products are given in the table below. In the market research, it has been concluded that the demand for product A will be at most 40 per week, and product D will be sold at least 60 units per week. Accordingly, the company's board of directors has determined the following priority targets: P1- The amount of product A should not be above 40 as much as possible. P2- The amount of D product should not be below 60 as much as possible. P3- The amount of fabric used weekly should not exceed the total capacity as much as possible. P4- If the amount of fabric used per week falls below the total capacity, the difference should not be as much as 20m2 as much as possible. Establish the priority goal programming model necessary for the realization of these goals

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