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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.
Suppose you estimate a regression model to predict weekly expenditures on food per person. Would you be pleased if your model estimate a Standard Error =$300 EXPLAIN?
Compute the 95% confidence interval for the proportion of adults who are planning to buy a new car in the next 6 months.
Data are recorded on effects of each drug. Is research division by using dependent or independent samples? Explain why?
What are the best-case and worst-case outcomes the owner may face on this product if she implements your suggestion?
significance level α = 0.01 and a degree of freedom = 11. In this situation, the null hypothesis that the observed distribution is the same as the expected distribution is?
At the .05 level of significance, is there a difference in the mean number of months before a raise was granted among the four CPA firms?
To recognize the width of the confidence interval.As the confidence level \"1 - α\" increases, the width of the confidence interval.
Calculate expected value for each decision and choose the best one. Find out how much firm would be eager to pay to a market research firm to gain better information about future market conditions.
List the 15 possible samples (without replacement) of two artists that can be selected from the six. for brevity, use the initial provided.
A system is tested for 10,000 hours and experiences 2 failures. Its failure rate is believed to be Poisson distributed.
In a column, write the sample space for the experiment that consists of observing the day's production.
There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Write a mathematical expression for total profit.
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