Question 3.1 (10 points) Consider a linear optimzation problem that incorporates a number of resource and time constraints. Each constraint reflects that the amount of used resource cannot exceed a certain boundary value that reflects the maximum availablility of said resource. Explain if and why the shadow price of any resource constraint equals zero if the optimal solution quantity used of that resource is smaller than the maximum amount available Question 3.1 answer here Question 3.2 (10 points) Given a linear optimization problem and given its optimal solution If you add a new constraint and the solution to the original problem satisfies the new constraint: Is the original optimal solution still optimal with the new added constraint? Explain why Question 3.2 answer here Question 3.3 (5 points) How many constraints does a transportation problem have the transportation problem has four origins and five destinations? Explain Question 3.3 answer here