Question

Use the simplex method to solve the following problem. Find y1 ≥ ​0, y2 ≥ ​0, and y3 ≥ 0 such that

2 y1 + 7 y2 + 3 y3 ≤ 11​,

2 y1 + 14 y2 + 8 y3 ≥ 1010​,

and

w = 12 y1 + 42 y2 + 59 y3 is minimized.

The minimum value w = ___ occurs when y1 = ___​, y2 = ___​, and y3 = ___.

​(Simplify your​ answers.)

Answer 1

Here given problem has no solution because the optimum table solution contains in terms of M.where M is very Big value .Im solve this problem by big M method .Answer and explaination is below thank you.