A manufacturer of nutritional products is formulating a new liquid vitamin supplement.A bottle of the new product must contain at least 30 units of vitamin B and 50 units of vitamin C.A unit of vegetable extract (V)contains 1.2 units of vitamin B and 0.8 units of vitamin C.A unit of fruit extract (F)contains 0.25 units of vitamin B and 1.8 units of vitamin C.The cost of vegetable extract is $0.05 per unit and fruit extract costs $0.06 per unit.The firm's goal is to minimize its cost per bottle.Formulate a linear programming problem for the firm.
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