Just make the linear programming model of the next exercise: A person wins 10 million dollars in a lottery and is advised to invest in two types of shares, A and B. Type A has more risk but produces a benefit of 10%. Those of type B are safer, but produce only 7% per year. After several deliberations, he decides to invest a maximum of 6 million in the purchase of A shares and, at least, 2 million in the purchase of B shares. Furthermore, he decides that the amount invested in A is at least equal to the amount invested in B. How should you invest 10 million so that the annual benefit is maximum?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Just make the linear programming model of the next exercise:

A person wins 10 million dollars in a lottery and is advised to invest in two types of shares, A and B. Type A has more risk but produces a benefit of 10%. Those of type B are safer, but produce only 7% per year. After several deliberations, he decides to invest a maximum of 6 million in the purchase of A shares and, at least, 2 million in the purchase of B shares. Furthermore, he decides that the amount invested in A is at least equal to the amount invested in B. How should you invest 10 million so that the annual benefit is maximum?

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