(Solved): (Be sure to show the graph of the feasible region, the appropriate vertices, and optimal value.) E ...

(Be sure to show the graph of the feasible region, the appropriate vertices, and optimal value.) Exercise 1 LP 1. Maximize: \( C=3 x-2 y \) Constraints: \[ \begin{array}{l} x \geq 0, \text { and } y \geq 0 \\ x+3 y \leq 120 \\ 3 x+y \leq 120 \end{array} \] MAYISUGGEST USING: GRAPHPAPER, COLORS, SYSTEMS OF EQUATIONS ... Exercise 2 LP 2. Maximize: \[ C=4 x+3 y \] Constraints: \[ \begin{array}{l} x+y \leq 10 \\ -x+y \leq 5 \\ 2 x+4 y \leq 32 \end{array} \] Solve the application. (Be sure to SHOW ALL WORK: the Objective function, Constraints, the feasible region, vertices and optimal solution.)