Variable Cells
			Final	Reduced	Objective	Allowable	Allowable
	Cell	Name	Value	Cost	Coefficient	Increase	Decrease
	Type A	x	4	0	5	4	2
	Type B	y	0	-3.5	3	2	1E+30
	Type C	z	3	0	5	6	2
Constraints
			Final	Shadow	Constraint	Allowable	Allowable
	Cell	Name	Value	Price	R.H. Side	Increase	Decrease
	Hours	1	15	1	15	12	8
	Plastic	2	20	0	30	1E+30	30
	Cotton	3	70	2	70	40	55

Calculate the optimal value of the objective function if the coefficient of "x" changes to 4 and the coefficient of "y" changes to 3.5.

Hint: Since it is proposing a simultaneous change (more than one change at a time), we have to check the 100% rule.

**Enter the number only**

**Do not use any words or symbols**

2.

Variable Cells
			Final	Reduced	Objective	Allowable	Allowable
	Cell	Name	Value	Cost	Coefficient	Increase	Decrease
	Type A	x	9	0	6	4	2
	Type B	y	0	-3.5	3	2	1E+30
	Type C	z	3	0	6	6	2
Constraints
			Final	Shadow	Constraint	Allowable	Allowable
	Cell	Name	Value	Price	R.H. Side	Increase	Decrease
	Hours	1	15	1	15	12	8
	Plastic	2	20	0	30	1E+30	30
	Cotton	3	70	2	70	40	55

How much will the objective function improve if we add the Cotton amount by 30 more and 50 more units?

Select one:

a. We will not be able to tell since the proposed changes are outside the allowable increase or decrease

b. Up to $40 increase or $55 decrease when the changes are in the allowable ranges, but we cannot tell the exact amount of improvement.

c. Not able to say for 30 units increase, but $100 improvement for 50 units increase

d. $60 improvement for 30 units increase, not able to tell for 50 units increase

3.

Variable Cells
			Final	Reduced	Objective	Allowable	Allowable
	Cell	Name	Value	Cost	Coefficient	Increase	Decrease
	Type A	x	9	0	6	4	2
	Type B	y	0	-3.5	3	2	1E+30
	Type C	z	3	0	6	6	2
Constraints
			Final	Shadow	Constraint	Allowable	Allowable
	Cell	Name	Value	Price	R.H. Side	Increase	Decrease
	Hours	1	15	1	15	12	8
	Plastic	2	20	0	30	1E+30	30
	Cotton	3	70	2	70	40	55

What constraints are binding?

Select one:

a. Cotton and Hours are binding

b. Plastic is the only binding constraint

c. Type A and type C are binding

d. Cotton and Plastic are binding

e. Type B is binding