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Statistics - How much could the profit increase or decrease

Part one: Look at the following problem and answer these questions? (See attached file)
a. How much could the profit on X increase or decrease without changing the values of X and Y in the optional solutions?
b. If the right hand side of constraint 1 were increased by 1 unit, how much would the profit increase?
c. If the right-hand side of constraint 1 were increased by 10 units, how much would profit increase?
Part two:
a. It has been said that each LP problem that has a feasible region has an infinite number of solutions. Explain?

X1 X2 RHS Dual
Maximize 5 6
Constraint 1 2 1 <= 120 .75
Constraint 2 2 3 <= 240 1.75
Solution-> 30 60 510

Variable Value Reduced Cost Original Val Lower Bound Upper Bound
X1 30 0 5 4 12
X2 60 0 6 2.5 7.5
Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound
Constraint 1 .75 0 120 80 240
Constraint 2 1.75 0 240 120 360

Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.

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