Let x be the number of loaves of banana bread and y be the number of loaves of nyt bread Elena makes.
1. A loaf of banana bread requires 2 cups of flour and 2 eggs, then x loaves require 2x cups of flour and 2x eggs.
2. A loaf of nut bread takes 3 cups of flour and 1 egg, then y loaves require 3y cups of flour and y eggs.
3. Elena has 12 cups flour, then
2x+3y≤12.
4. Elena has 8 eggs, then
2x+y≤8.
5. If she makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, then she makes total profit of $(1.50x+2y).
The solution of system of two inequalities
![\left\{\begin{array}{l}2x+3y\le 12\\2x+y\le 8\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D2x%2B3y%5Cle%2012%5C%5C2x%2By%5Cle%208%5Cend%7Barray%7D%5Cright.)
is represented in the attached diagram.
The maximal profit can be obtained at point (3,2), where
![\$(1.50\cdot 3+2\cdot 2)=\$8.5.](https://tex.z-dn.net/?f=%5C%24%281.50%5Ccdot%203%2B2%5Ccdot%202%29%3D%5C%248.5.)
Answer: correct choice is C (Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit)