A financial advisor recommends a client to invest a total of at most $50 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 8% annual interest. He suggests to invest at least 10 million in bonds and at least 15 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The financial advisor is allowed to spend no more than $5,000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest? Formulate the problem in mathematical form. Let: X: million of dollars to be invested in U.S. Treasury bonds Y: million of dollars to be invested in mutual funds What are the constraints? Select all the correct ones from the list O 10 * X + 15 * Y <= 5000 O 10 * X + 15 *Y <= 50 OY<= 15 OY>= 15 O 100 * X + 200 * Y <= 5,000 OX >= 10 OX <= 10 OX+Y <= 50 0.04 * X + 0.08 * Y >= 50

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A financial advisor recommends a client to invest a total of at most $50
million in U.S. Treasury bonds paying 4% annual interest and in mutual funds
paying 8% annual interest. He suggests to invest at least 10 million in bonds
and at least 15 million in mutual funds. Bonds have an initial fee of $100 per
million dollars, while the fee for mutual funds is $200 per million. The
financial advisor is allowed to spend no more than $5,000 on fees. How much
should be invested in each to maximize annual interest? What is the
maximum annual interest?
Formulate the problem in mathematical form. Let:
X: million of dollars to be invested in U.S. Treasury bonds
Y: million of dollars to be invested in mutual funds
What are the constraints? Select all the correct ones from the list
O 10 * X + 15 * Y <= 5000
O 10 * X + 15 *Y <= 50
OY<= 15
OY>= 15
O 100 * X + 200 * Y <= 5,000
OX >= 10
OX <= 10
OX+Y <= 50
0.04 * X+ 0.08 *Y >= 50
Transcribed Image Text:A financial advisor recommends a client to invest a total of at most $50 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 8% annual interest. He suggests to invest at least 10 million in bonds and at least 15 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The financial advisor is allowed to spend no more than $5,000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest? Formulate the problem in mathematical form. Let: X: million of dollars to be invested in U.S. Treasury bonds Y: million of dollars to be invested in mutual funds What are the constraints? Select all the correct ones from the list O 10 * X + 15 * Y <= 5000 O 10 * X + 15 *Y <= 50 OY<= 15 OY>= 15 O 100 * X + 200 * Y <= 5,000 OX >= 10 OX <= 10 OX+Y <= 50 0.04 * X+ 0.08 *Y >= 50
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