A corporation is considering four possible investment opportunities. The

following table presents information about the investment

$($in Rs thousand$)$ profile:

Project Present value of

expected return

Capital Required Year$-$wise by

projects

Year $1$ Year $2$ Year $3$

$1650700550400$

$2700850550350$

$3225300150100$

$4250350200$

Capital Available

for investment

$1200700400$

In addition projects I and $2$ are mutually exclusive and project $4$ is contingent

on the prior acceptance of project $3.$ Formulate an $P$ model to determine which

project should be accepted and which should be rejected to maximize the

present value from accepted projects