question archive 1) Viti Juice company manufactures an orange-flavoured drink, called Viti Oranj, by mixing orange soda and orange juice

1) Viti Juice company manufactures an orange-flavoured drink, called Viti Oranj, by mixing orange soda and orange juice

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1) Viti Juice company manufactures an orange-flavoured drink, called Viti Oranj, by mixing orange soda and orange juice. Each ounce of orange soda contains y oz of sugar and 1 mg of vitamin C. Each ounce of orange juice contains y oz of sugar and 3 mg of vitamin C. It costs the company 2c to produce an ounce of orange soda and 3c to produce an ounce of orange juice. The company's marketing department has decided that each 10- oz bottle of Viti Oranj must contain at least 20 mg of vitamin C and at most 4 oz of sugar. (a) Formulate a linear programming problem to determine how VJ Company can meet the marketing department's requirements at minimum cost. (b) Use the graphical method to solve this problem.

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