A company has Rs 6,00,000 to invest, and a total of three investments are available to it.

If xi rupees (in lakhs) are invested in investment j, then a net present value (in lakhs of rupees) of ~{xj) is obtained, where ~{xj)'s are given below:

The amount placed in each investment has to be in multiples of Rs 1 lakh only. How should the company invest Rs 6,00,000 in order to maximise the net present value obtained from the investments?

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V(x1)=7x +2 V2(x2)=3x2 +7 V3(x3) = 4x3 + 5 (X1, X2, X30) and x(0) = x2(0) = x3(0) = 0