Business, 11.02.2020 22:21 breadwonders3738

Nature's Best Frozen Foods company produces four different mixes of frozen, ready-to-eat vegetables. The mixes consist of five different vegetables: carrots, mushrooms, green peppers, broccoli, and corn. The mixes are "Stir Fry", "Barbecue", "Hearty Mushrooms", and "Veggie Crunch", and their contributions to earnings (per bag) are S0.22, S0.20, S0.18, and $0.18, respectively. The monthly supplies of carrots, mushrooms, green peppers, broccoli, and corn are 150,000 oz., 80,000 oz., 135,000 oz., 140,000 oz., and 150,000 oz. per month, respectively. The compositions of the mixes are shown in the table below. For example, one bag of Stir Fry mix contains 2.5 oz. of carrots, 3.0 oz. of mushrooms, 2.5 oz. of green peppers, 2.0 oz. of broccoli, and no corn Barbecue 2.0 0.0 2.0 3.0 3.0 Hearty MushroomsVeggie Crunch 0.0 4.0 3.0 3.0 0.0 Stir Fry 2.5 3.0 Carrots Mushrooms Green Peppers 2.5 Broccoli Corn 2.5 0.0 2.5 2.5 2.5 2.0 0.0 The following linear optimization model was used to determine the mix of salsa products that will maximize the total profit contribution. Let S B H be the number of bags of Stir Fry to make be the number of bags of Barbecue to make be the number of bags of Hearty Mushrooms to make V be the number of bags of Veggie Crunch to make Maximize 0.22S0.20B+0.18H+0.18V Subject to 2.5S+2.0B+2.5V s 150,000 (Carrots) 3.0S+4.0H s 80,000 (Mushrooms) 2.5S +2.0B+3.0H +2.5V s 135,000 (Green Peppers) 2.0S+3.0B+3.0H+2.5V s 140,000 (Broccoli) 3.0B+2.5V s 150,000 (Corn) S, B, H, V 20

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