Important!! My specific question is different from other similar questions posted on this platform:

Hi, please assist me in the below question, I have some special questions. For the below part, I dont know how to explain and show how the optimal solution in the new situation could be affected by the different values used as alpha? and what difference does it make to the original optimal solution?

A medicinal chemist working in a Singapore-based pharmaceutical company has been tasked to develop a nutritional supplement which should contain a total of at least 16 units of Magnesium and 24 units of Zinc by mixing two commercially available food grade compounds: C1 and C2.

C1 costs $140 per kg while C2 costs $180 per kg. According to the supplier, every kg of C1 contains 4 units of Magnesium and 2 units of Zinc, while every kg of C2 contains 2 units of Magnesium and 4 units of Zinc. How should the chemist minimize the cost of such a mixture?

New Situation: Due to other nutritional consideration, the chief chemist has given the medicinal chemist an additional instruction that the quantity of compound C2 should be at most alpha times the quantity of compound C1 used ( alpha > 0). Using the graphical method, explain how the optimal solution in this new situation could be affected by differing values of alpha ( alpha > 0). You are required to re-work the new optimal solution, if different from (b).