Sensitivity Analysis: your company is in construction business and is planning to build Houses (X1), Apartments (X2), and offices (X3). a) The company has permission to build no more than a total of 10,000 units of the above structures. b) A special type of iron bars are used for the foundation. Offices use twice that material than houses and apartments use three times of that material than houses. The company can source no more that 16,000 tons of this material. c) The amount of wiring for internet and other communication needs in an office is 3 times that of a house and an apartment uses twice that amount of wire than a house. The company has no more than 15,000 meters of such wiring material. d) Profit from each house is 3 million Rial, from an apartment is 5 million Rial and from an office is 4 million Rial 1) Suppose the government gives permission to construct 2000 more units, will the optimal feasible solution change? If so what are the new mix of units? 2) Suppose you can source 4000 tons of material for foundation, will the optimal feasible solution change? If so what are the new mix of units? 3) Suppose there is a surge in demand for apartments and offices and the profit for apartments increases by 20% and becomes 6 and for offices increases by 25% and becomes 5 . Further, you can source 5000 additional wiring material. What is the new mix of your constructions