Customers buy 12 units of regular beer and 10 units of light beer monthly. The brewery decides to produce extra​ beer, beyond that needed to satisfy the customers. The cost per unit of regular beer is ​$42,000 and the cost per unit of light beer is $45,000. Every unit of regular beer brings in​ $100,000 in​ revenue, while every unit of light beer brings in​ $300,000 in revenue. The brewery wants at least​ $7,000,000 in revenue. At least 22 additional units of beer can be sold. How much of each type should be made so as to minimize total production​ cost?

Customers buy 12 units of regular beer and 10 units of light beer monthly. The brewery decides to produce extra​ beer, beyond that needed to satisfy the customers. The cost per unit of regular beer is ​$42,000 and the cost per unit of light beer is $45,000. Every unit of regular beer brings in​ $100,000 in​ revenue, while every unit of light beer brings in​ $300,000 in revenue. The brewery wants at least​ $7,000,000 in revenue. At least 22 additional units of beer can be sold. How much of each type should be made so as to minimize total production​ cost?