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 .8 units of vitamin C. A unit of fruit extract (F) contains .25 units of vitamin B and 1.8 units of vitamin C. The cost of vegetable extract is $.05 per unit and fruit extract costs $.06 per unit. The firm's goal is to minimize its cost per bottle. Formulate a linear programming problem for the firm.

Question

Quizplus · Accepted Answer

The Answer of 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 .8 units of vitamin C. A unit of fruit extract (F) contains .25 units of vitamin B and 1.8 units of vitamin C. The cost of vegetable extract is $.05 per unit and fruit extract costs $.06 per unit. The firm's goal is to minimize its cost per bottle. Formulate a linear programming problem for the firm.

A Manufacturer of Nutritional Products Is Formulating a New Liquid