While shopping for sodas for a party, you have the brilliant idea of making a new, healthy orange soda (Awesome Orange) by mixing regular orange soda with orange juice. Using knowledge from your Freshman electives (marketing and nutrition), youdecide you want to make a mixture with high vitamin C and low sugar, while keeping thecost cheap. You will sell the beverage in 10 oz units.

Each ounce of orange juice costs $0.10 and contains 5 g of sugar and 5 mg of vitamin C. Each ounce of orange soda costs $0.05 andcontains 10 g of sugar and 0 mg of vitamin C.

You want each 10 oz unit to have at least20 mg vitamin C and at most 75 g of sugar.

Determine if and how you can achieve this atminimum cost. (Work in cents, not dollars.)