A pharmaceutical company decided to manufacture new food supplement pills. It will need to add some vitamins to the mix. It decides on two vitamin mixes: Vitamin mix 1 and Vitamin mix 2. Vitamin mix 1 costs $40 and will contain 2 units of vitamin B and 5 units of vitamin C. Vitamin mix 2 costs 35 USD and will contain 2 units of vitamin B and 3 units of vitamin C. For nutritional reasons, both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C.

Formulate a linear programming model based on the given data.

 LO.1