A real estate developer is considering three possible projects: a small apartment complex, a small shopping center, and a mini-warehouse. Each of these requires different funding over the next two years, and the net present value of the investments also varies.The following table provides the required investment amounts (in $1,000s) and the net present value (NPV) of each (also expressed in $1,000s):.transtutors.com/Transtutors001/Images/Transtutors001_d32b64ea-a159-44fb-8395-3b286c5e0053.png”>The company has $80,000 to invest in year 1 and $50,000 to invest in year 2.(a) Develop an integer programming model to maximize the NPV in this situation.(b) Solve the problem in part (a) using