Question

Maximize P=60x+50y.

⎧
⎪x+y≤80
⎪
⎪5x+10y≤560
⎪
⎪50x+20y≤1600
⎪
⎪x≥0
⎨
⎪y≥0
⎪
⎪
⎪
⎪
⎪
⎪
⎩
Use the simplex method to solve the problem. Use s, t, and u as your slack variables for the first, second, and third inequalities respectively. Use the final simplex tableau to identify the values below.

x =


y =

s =

t =

u =


P =

Answer 1

http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=1e692c6f72587b2cbd3e7be018fd8960&title=Linear%20Programming%20Calculator&theme=blue

max = 3220 at (12,50)

Answer 2

For instructions using Simplex with pivots etc see
http://en.wikipedia.org/wiki/Simplex_algorithm