Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 2, Problem 1C
Summary Introduction
To provide: The relevant information for the questions.
Case summary:
Company E is a large energy company. The diverse nature of the company is always keeping the manager of project development Person CE. Person CE is currently about to meet the relevant parties regarding the different proposals present for the next three years.
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Use excel for this problem
A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return.
Bond
Annual Return
Maturity
Risk
Tax
Free
A
9.5%
Long
High
Yes
B
8.0%
Short
Low
Yes
C
9.0%
Long
Low
No
D
9.0%
Long
High
Yes
E
9.0%
Short
High
No
The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues. At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free.
Formulate the LP model for this problem.
Create the spreadsheet model and use Solver to solve the problem.
Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of U.S. Oil and H shares of Huber Steel. The annual return for U.S. Oil is $3 per share and the annual return for Huber Steel is $5 per share. U.S. Oil sells for $25 per share and Huber Steel sells for $50 per share. The portfolio has $80,000 to be invested. The portfolio risk index (0.50 per share of U.S. Oil and 0.25 per share for Huber Steel) has a maximum of 700. In addition, the portfolio is limited to a maximum of 1000 shares of U.S. Oil. The linear programming formulation that will maximize the total annual return of the portfolio is as follows:
Max 3U + 5H Maximize total annual return
s.t.
25U + 50H <= 80,000 Funds available
0.5U + 0.25H <= 700 Risk maximum
1U <= 1000 U.S. oil Maximum
U, H >= 0
The computer solution is shown in…
“Good Intentions” (GI) company produces two products, which it sells on both a cash and credit basis. Revenues from credit sales will not have been received but are included in determining profit earned during the current six-month period. Sales during the next six months can be made either from units produced during the next six months or from the beginning inventory. Relevant information about products one and two is as follows.
During the next six months, at most 150 units of product type 1 can be sold on a cash basis, and at most 100 units of product 1 can be sold on a credit basis. It costs £35 to produce each unit of product type 1, and each sells for £40. A credit sale of a unit of product 1 yields £0.50 less profit than a cash sale (because of delays in receiving payment). Two hours of production time are needed to produce each unit of product 1. At the beginning of the six-month period, 60 units of product 1 are in the inventory.
During the next six months, at most 175 units…
Chapter 2 Solutions
Practical Management Science
Ch. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.6 - Prob. 10P
Ch. 2.6 - Prob. 11PCh. 2.6 - Prob. 12PCh. 2.6 - Prob. 13PCh. 2.7 - Prob. 14PCh. 2.7 - Prob. 15PCh. 2.7 - Prob. 16PCh. 2.7 - Prob. 17PCh. 2.7 - Prob. 18PCh. 2.7 - Prob. 19PCh. 2 - Julie James is opening a lemonade stand. She...Ch. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - The file P02_26.xlsx lists sales (in millions of...Ch. 2 - Prob. 27PCh. 2 - The file P02_28.xlsx gives the annual sales for...Ch. 2 - Prob. 29PCh. 2 - A company manufacturers a product in the United...Ch. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Assume the demand for a companys drug Wozac during...Ch. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Suppose you are borrowing 25,000 and making...Ch. 2 - You are thinking of starting Peaco, which will...Ch. 2 - Prob. 40PCh. 2 - The file P02_41.xlsx contains the cumulative...Ch. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - The IRR is the discount rate r that makes a...Ch. 2 - A project does not necessarily have a unique IRR....Ch. 2 - Prob. 46PCh. 2 - Prob. 1CCh. 2 - The eTech Company is a fairly recent entry in the...
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