Question

Given the linear program

Max		3A	+	4B
s.t.
		-1A	+	2B	≤	8
		1A	+	2B	≤	12
		2A	+	1B	≤	16
				A, B	≥	0

(a)	Write the problem in standard form.
	For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300)

- Select your answer -MaxMinItem 1	A	+	B	+	S1	+	S2	+	S3
s.t.
	A	+	B	+	S1					- Select your answer -≥≤=Item 10
	A	+	B			+	S2			- Select your answer -≥≤=Item 15
	A	+	B					+	S3	- Select your answer -≥≤=Item 20
									A, B, S1, S2, S3	- Select your answer -≥≤=Item 22

(b)	Select the correct graph that shows the optimal solution for the problem.

(i)		(ii)
(iii)		(iv)

- Select your answer - Graph (i)Graph (ii)Graph (iii)Graph (iv)Item 24

(c)	What are the values of the three slack variables at the optimal solution?
	If required, round your answers to one decimal place.

S1 =
S2 =
S3 =

Answer 1