Formulate an LPP from a word problem

1. A.
   Maximize $z = 25x + 18y$ subject to $20x + 15y \leq 640$

   $$5x + 8y\ \geq 500$$

   $$x,y \geq 0$$
2. B.
   Maximize $z = 25x + 18y$ subject to $20x + 15y \leq 640$ 5$\mathcal{x} + 8y \leq 500$

   $$\mathcal{x,}y \geq 0$$
3. C.
   Maximize $z = 25x + 18y$ subject to $20x + 5y \leq 8$ 5$\mathcal{x} + 8y \leq 10$

   $$\mathcal{x,}y \geq 0$$
4. D.
   Maximize $z = 25x + 18y$ subject to $4x + 3y \leq 128$ 5$\mathcal{x} + 8y \geq 500$

   $$\mathcal{x,}y \geq 0$$

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1. A.
   Maximize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \le 250, x_1 \le 30, x_2 \le 4x_1, x_1 \ge 0, x_2 \ge 0$.
2. B.
   Minimize $z = 150x_1 + 90x_2$ subject to $x_1 + x_2 \le 250, x_1 \ge 30, x_2 \ge 4x_1, x_1 \ge 0, x_2 \ge 0$.
3. C.
   Minimize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \le 250, x_1 \ge 30, x_2 \ge 4x_1, x_1 \ge 0, x_2 \ge 0$.
4. D.
   Maximize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \le 250, x_1 \ge 30, x_2 \ge 4x_1, x_1 \ge 0, x_2 \ge 0$.

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1. A.
   maximize $z = 2x + 5y$ subject to $2x + y \le 360, 4x + 2y \le 120, x \ge 0, y \ge 0$
2. B.
   maximize $z = 2x + 5y$ subject to $2x + y \le 120, 4x + 2y \le 360, x \ge 0, y \ge 0$
3. C.
   maximize $z = 2x + 5y$ subject to $2x + 4y \le 360, x + 2y \le 120, x \ge 0, y \ge 0$
4. D.
   maximize $z = 2x + 5y$ subject to $2x + 4y \le 120, x + 2y \le 360, x \ge 0, y \ge 0$

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