A diet is to contain at least 2760 units of carbohydrates, 2650 units of proteins, and 1250 calories. Two foods are available: F₁ which costs $0.01 per unit and F₂,
which costs $ 0.09 per unit. A unit of food F₁ contains 6 units of carbohydrates, 7 units of proteins and 9 calories. A unit of food F₂ contains 4 units of carbohydrates, 3 units of proteins and 1 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 F₁= ____ units
and F₂ = ____ units.
