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Exercise 4 (Investment portfolio) George Johnson would like to set up a trust fund for his two children. The trust fund has two investment options: 1. a bond fund and 2. a stock fund. The projected returns over the life of the investments are 6% for the bond fund and 10% for the stock fund. To reduce the risk resulted from market volatility, he wants to invest at least 30% of the entire amount of trust fund in the bond fund. In addition, he wants to select a portfolio that will enable him to obtain a total return of at least 7.5%. A. Formulate a linear program that can be used to determine the percentage allocation to the bond fund and stock fund. The objective of the problem is to maximize the expected total portfolio return. B. Solve the problem using the graphical solution procedure. Find out the optimal percentage allocations and the optimal total portfolio return.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
LINEAR PROGRAMMING MODELS
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