A pharmaceutical company makes two types of vitamins at its New Jersey plant—a high-potency, antioxidant vitamin and a vitamin-enriched with added calcium. Each high-potency vitamin contains, among other things, 500 mg of vitamin C, 40 mg of calcium, and 100 mg of magnesium and generates a profit of $0.10 per tablet. A calcium-enriched vitamin tablet contains 100 mg of vitamin C, 400 mg of calcium, and 40 mg of magnesium and generates a profit of $0.05 per tablet. Each day the company has available 300 kg of vitamin C, 122 kg of calcium, and 65 kg of magnesium for use in the production of the vitamins. How many of each type of vitamin should be manufactured to maximize profit?

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with x number of high protency vitamin tablets y num... View the full answer