Question

1.For the following linear programming problem

Max 5X + 7Y

s.t. 1X+ 1Y≤ 6

3X +1Y ≤ 12

X+ 2Y ≤ 10

X, Y ≥ 0

a)Write the problem in standard form.

b)Solve the problem neatly using the graphical solution procedure(on paper).

c)What are the values of the three slack variables at the optimal solution?

d)Solve the problem with Microsoft Excel and attach your “own” printout.

Answer 1

(d)

X	y			Objective
2	4			38
5	7
S.T		LHS		RHS
1	1	6		6
3	1	10		12
1	2	10		10

excel file link: https://1drv.ms/x/s!AkW5WQDSTr7DhnaYN-W-k-Ql55RO