Denote:
: money invested in utilities stock
: money invested in electronics stock
: money invested in a bond
The problen is maximize with the restrictions:
Fernando Revilla
For this problem, all I need to do is to set up the model. I don't have to solve it or put it in standard or canonical form or anything like that, just simply set it up in the model. I just can't seem to figure this one out.
The administrator of a $200,000 trust fund set up by Mr. Smith's will must adhere to certain guidelines. The total amount of $200,000 need not be fully invested at any one time. The money may be invested in three different types of securities: a utilities stock paying a 9% dividend, an electronics stock paying 4% dividend, and a bond paying 5% interest. Suppose that the amount invested in the stocks cannot be more than half the total amount invested; the amount invested in the utilities stock cannot exceed $40,000; and the amount invested in the bond must be at least $70,000. What investment policy should be pursued to maximize the return?
I need to set it up in the form :Maximize
subject to
Denote:
: money invested in utilities stock
: money invested in electronics stock
: money invested in a bond
The problen is maximize with the restrictions:
Fernando Revilla
That depends on the way you define standard form.
But (2) why is the last constraint x1+x1? Thanks again!
A typo, it should be
Fernando Revilla