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2. A farming cooperative mixes two brands of cattle fee. Brand X const $25 per bag, and brand Y costs $20 per bag. Find the number of bags of each brand that should be mixed to produce a mixture having a minimum cost per bag, subject to the following constraints: • Brand X contains 2 units of nutritional element A, 2 units of element B and 2 units of element C • Brand Y contains 1 unit of nutritional element A, 9 units of element B, and 3 units of element C. • The minimum requirements of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. 3. A merchant plans to sell two models of MP3 players at costs of $250 and $300. The $250 model yields a profit of $25 per unit and the $300 model yields a profit of $40 per unit. The merchant estimates that the total monthly demand will not exceed 250 units. The merchant does not want to invest more than $65,000 in inventory for these products. What is the optimal inventory level for each model? What is the optimal profit? 4. A fruit grower has 150 acres of land available to raise two crops, A and B. It takes 1 day to trim an acre of crop A and 2 days to trim an acre of crop B, and there are 240 days per year available for trimming. It takes 0.3 day to pick an acre of crop A and 0.1 day to pick an acre of crop B, and there are 30 days available for picking. The profit is $140 per acre for crop A and $235 per acre for crop B. What is the optimal acreage for each fruit? What is the optimal profit?

2. A farming cooperative mixes two brands of cattle fee. Brand X const $25 per bag, and brand Y costs $20 per bag. Find the number of bags of each brand that should be mixed to produce a mixture having a minimum cost per bag, subject to the following constraints:
• Brand X contains 2 units of nutritional element A, 2 units of element B and 2 units of element C
• Brand Y contains 1 unit of nutritional element A, 9 units of element B, and 3 units of element C.
• The minimum requirements of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively.

3. A merchant plans to sell two models of MP3 players at costs of $250 and $300. The $250 model yields a profit of $25 per unit and the $300 model yields a profit of $40 per unit. The merchant estimates that the total monthly demand will not exceed 250 units. The merchant does not want to invest more than $65,000 in inventory for these products. What is the optimal inventory level for each model? What is the optimal profit?

4. A fruit grower has 150 acres of land available to raise two crops, A and B. It takes 1 day to trim an acre of crop A and 2 days to trim an acre of crop B, and there are 240 days per year available for trimming. It takes 0.3 day to pick an acre of crop A and 0.1 day to pick an acre of crop B, and there are 30 days available for picking. The profit is $140 per acre for crop A and $235 per acre for crop B. What is the optimal acreage for each fruit? What is the optimal profit?

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