Reference no: EM132189069

Wickham Ltd has the opportunity to invest in up to three projects over the next few years. The details are as follows. Project A requires cash at the start of year one, and each dollar invested returns $1.3 after three years, that is, at the start of year four. It is possible to invest in Project B at the start of year two, and each dollar invested returns $1.20 after two years, that is, at the start of year four. We can also invest in Project C at the start of each year, and each dollar invested returns $ 1.06 after one year. Wickham has decided, at the start of year one, to allocate a total often million dollars to the projects. They wish to maximize the value of this investment as at the start of year four. a) Formulate a linear program to assist them to achieve their aim. b) Suppose now that, in addition, the amount invested in A cannot be more than half that invested in B. Modify your linear program to account for this. c) Instead of the restriction imposed in b) above, you are now told that it is possible to invest in at most one of A and B. How does that affect your model?