Question content area left

Part 1

Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm:

Maximize		Z=	1X1+1X2
Subject to:			2X1+1X272	(C1)
			1X1+2X272	(C2)
			X1,X20

On the graph on right, constraints

C1

and

C2

have been plotted.a) Using the point drawing

tool,

plot all the corner points for the feasible area.

Part 2

Part 3

The optimum solution is:

Part 4

X1

=

enter your response here

(round your response to two decimal places).

Part 5

X2

=

enter your response here

(round your response to two decimal places).

Part 6

Optimal solution value Z =

enter your response here

(round your response to two decimal places).

Part 7

b) If a technical breakthrough occurred that raised the profit per unit of

X1

to

$3,

due to this change, the optimal solution

changes

stays the same

.

Part 8

As a result of the technical breakthrough, the optimum solution is:

Part 9

X1

=

enter your response here

(round your response to two decimal places).

Part 10

X2

=

enter your response here

(round your response to two decimal places).

Part 11

Optimal solution value Z =

enter your response here

(round your response to two decimal places).

Part 12

c) If the impact of technical breakthrough was incorrectly determined and instead of

X1

profit coefficient increasing to

$3

it only increases to

$1.25.

As a result of this correction, the optimal solution found originally

changes

stays the same

.

...

Question content area right

Part 1

01020304050607080901001101200102030405060708090100110120X1X2C1C2Isoprofit Line

interactive graph