Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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a.) Consider game where start with 999 marbles and players alternate turns. Each turn a player may take 1, 3, or 5 marbles. Person who takes the last marble is the Winner. Which player should you be?
b.)Consider game where start with 99 marbles and players alternate turns. Each turn a player may take 1, 2, or 3 marbles. Person who takes the last marble is the Winner. Which player should you be?
c.)Consider game where start with 9 marbles and players alternate turns. Each turn a player may take 1, 2, or 3 marbles. Person who takes the last marble is the Winner. Which player should you be?
Javier was the winner of the lottery and decided to invest $50,000 USD in the Stock Market. HeYou plan to buy shares in a mining company (M) and a forestry company (F). AlthoughA long-term goal is to obtain the maximum possible benefits, it has not left aside thehigh risk involved in purchasing shares. A risk is assigned from 1 to 10 (with 10 as theriskier) to each of the two actions. The total risk is found by multiplying therisk of each stock for the dollars invested in it. The investor would like to maximize the estimated return on the investment, but the indexThe average risk of this should not be more than 6 of the total invested ($50,000 USD).Additionally, you cannot invest more than $30,000 USD in the forestry company.A) Formulate the problem using the Simplex method, and find the optimal solution. Do it in python using the scipy library.
[Very Hard]
Suppose, you are working in a company ‘X’ where your job is to calculate the profit based
on their investment.
If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as
first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD,
the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profit
of 4.5 dollar.
For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000
USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to
8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000
USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a
4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and
multiple of 100.
Complete the RECURSIVE methods below that take an array of integers (investments)
and an iterator (always…
Chapter 13 Solutions
Operations Research : Applications and Algorithms
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