Pregunta: Maximize p = 5x + 6y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p = (x,y,z) =

Given that $\mathrm{M}\mathrm{a}\mathrm{x}\mathrm{p}=5\mathrm{x}+6\mathrm{y}+3\mathrm{z}$ , subject to $\mathrm{x}+\mathrm{y}+\mathrm{z}\le 150$ , $\mathrm{x}+\mathrm{y}+\mathrm{z}\ge 100$ , and $\mathrm{x}\ge 0,\mathrm{y}\ge 0,\mathrm{z}\ge 0$ .

The objective is to determine the optimal solution.