Chapter 6.6, Problem 18E

(a)

To determine

To calculate: The quantity of each food group should be included.

(b)

To determine

The set of all possible solutions if the diet includes one third as much of group $A$ as of group $B$.

(c)

To determine

The solution is possible if given in part $\left(a\right)$, foods $A$ and $B$ cost $\text{2 cents}\text{per gram}$, food $C$ costs $\text{3 cents}\text{per gram}$, and a meal must cost $\$8$.