A pension fund manager decides to invest a total of at most $30 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. He plans to invest at least $5 million in bonds and at least $10 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 fund manager is allowed to spend no more than $5000 on fees. How much should be invested in each to maximize annual interest? What is themaximum annual interest?The amount that should be invested in Treasury bonds is $million and the amount that should be invested in mutual funds is $million. A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 120 engines to these assembly plants. It costs $30 per engine to shipto plant I and $40 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant II gives similar $10 rebates. The manufacturer estimates that they need at least $1500 inrebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost?How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints?The number of engines to send to plant I isThe number of engines to send to plant II is

Name: A pension fund manager decides to invest a total of at most $30 milli
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: A pension fund manager decides to invest a total of at most $30 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. He plans to invest at least $5 million in bonds and at least $10 million in mutua