B. Solve the following linear programming problems: (a) Maximise 2x + 3y (b) Maximise -8x+ 4y subject to subject to 2x + y < 8 x + y<6 x + 2y < 10 x - y<2 2х — у 2 -3 x - y 2 -4 x >0 y2 0 y2 0

3. Solve the following linear programming problem by using simplex table method. МАX Z 3 15х, — 3x2 — 7хз subject to 3x1 – 5x2 + 2x3 < 72 4x1 + 7x2 + 9х; < 100 -12x1 + 4x2 + 5x3 < 290 аnd x1, X2, Xз2 0.

Solve the following linear programming problem.   You are taking two dietary supplements daily: Supplement A and Supplement B.   An ounce of supplement A contains 9 units of calcium, 8 units of vitamin D, and 5 units of sodium.   An ounce of supplement B contains 2 units of calcium, 4 units of vitamin D, and 3 units of sodium.   Your goal is to get at least 90 units of calcium and at least 120 units of vitamin D from the supplements daily, while at the same time reducing the amount of sodium that you will get.    How many ounces of each supplement should you take daily to reach your goals?   Ounces of Supplement A =  Blank 1. Fill in the blank, read surrounding text. Ounces of Supplement B =  Blank 2. Fill in the blank, read surrounding text.   How many units of sodium will you get daily under these circumstances?   Units of Sodium =  Blank 3. Fill in the blank, read surrounding text.

3. Solve the following linear programming problem. Maximize: z= 4x + 5y Subject to: x+ys4 x-y2-2 x<3 x20, y 20