A diet is to contain at least 1215 units of carbohydrates, 2625 units of proteins, and 2730 calories. Two foods are available: $F_1$ which costs $ 0.02 per unit and $F_2$, which costs $ 0.07 per unit. A unit of food $F_1$ contains 1 units of carbohydrates, 3 units of proteins and 4 calories. A unit of food $F_2$ contains 9 units of carbohydrates, 7 units of proteins and 6 calories.

Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements.

Corner points of the feasible region:  
If there is more than one corner point, type the points separated by a comma (i.e. (1,2),(3,4)).

Minimum cost is:   $
when $F_1 =$   units
and $F_2 =$  units.