Answer the following questions using the sensitivity report shown below.

a) Report the optimal solution and the objective function. what is the range of optimality for coefficient of x? (4 marks)

b) Report the range of feasibility associated with each constraint and Explain what constraints are binding and which one(s) are non-binding. (5 marks)

c) Will the optimal solution remain optimal if the coefficient of x changes to 7? Explain (1 marks)

d) If the coefficient of x changes to 2 and the coefficient of y changes to 6 simultaneously, will the optimal solution remain optimal? Explain (4 marks)

Variable Cells
			Final	Reduced	Objective	Allowable	Allowable
	Cell	Name	Value	Cost	Coefficient	Increase	Decrease
	Type A	x	10	0	3	8	1
	Type B	y	5	0	5	2	5
	Type C	z	0	-6.5	2	6.5	1E+30
Constraints
			Final	Shadow	Constraint	Allowable	Allowable
	Cell	Name	Value	Price	R.H. Side	Increase	Decrease
	Wood	1	15	1	15	20	10
	Steel	2	30	1.5	30	110	30
	hours	3	15	0	70	1E+30	55