INTRODUCTION TO OPERATIONS RESEARCH QUESTION Formulate the following problems as balanced assignment models:Person A is planning to organize a party with his friends. Since they have a tight budget,Person A has assigned specific tasks (related to renting party equipment) to his friendsPerson B, Person C, Person D and Person E. Person B and Person D were unable to getquotations for the confetti cannon and bubble machine respectively. The table below showsthe quotations (in USD) each friend has obtained for each item.Person BPerson CPerson DPerson EBouncy Castle Helium Tank Confetti Cannon Bubble Machine500400300200500700900700200500600200300700Help Person A decide which of his friends should rent which equipment, and how much it willcost. Person A is only interested in the optimal combination.

Quotations (in USD) for each time

Answered: Formulate the following problems as…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...

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INTRODUCTION TO OPERATIONS RESEARCH QUESTION

Formulate the following problems as balanced assignment models:
Person A is planning to organize a party with his friends. Since they have a tight budget,
Person A has assigned specific tasks (related to renting party equipment) to his friends
Person B, Person C, Person D and Person E. Person B and Person D were unable to get
quotations for the confetti cannon and bubble machine respectively. The table below shows
the quotations (in USD) each friend has obtained for each item.
Person B
Person C
Person D
Person E
Bouncy Castle Helium Tank Confetti Cannon Bubble Machine
500
400
300
200
500
700
900
700
200
500
600
200
300
700
Help Person A decide which of his friends should rent which equipment, and how much it will
cost. Person A is only interested in the optimal combination.

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The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
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Paige Turner has been working in a law firm for the last two years and has been bullied by her manager ever since she joined. She is given targets that are impossible to complete within the given time frame. When she is unable to complete her work, her manager admonishes her in front of everyone. In addition, Paige is not invited to take part in discussions that involve making decisions about client's accounts, which are being attended by all other team members.Identify TWO (2) types of workplace discrimination that are evident in this scenario. Justify your answer.
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