Sa T.

asked • 11/03/20

Linear programming problems

A financier plans to invest up to $500,000 in two projects. Project A yields a return of 12% on the investment of x dollars, whereas Project B yields a return of 16% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, she has decided that the investment in Project B should not exceed 40% of the total investment. How much should the financier invest in each project in order to maximize the return on her investment?

(xy)  =   
   



What is the maximum return?

1 Expert Answer

By:

Mike D. answered • 11/03/20

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Killian F.

The largest return is 500000 invested in y. But, you cannot invest more than 40% of 500000 in y. Something is awry
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03/03/23

Mike D.

The second constraint guarantees this . You must have misplotted the lines
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03/03/23

Mike D.

The 3 vertices on the feasible region are 0.0. 300000,200000. And 500000.0. The objective function at those points is 0 68000 and 60000 so we choose x 300000 y 200000
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03/04/23

Mike D.

The point 0 500000 is not in the feasible region
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03/04/23

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