[Solved] Intel Investments, Inc. manages funds for a number of companies and wealthy clients

Intel Investments, Inc. manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client’s needs. For a new client, Intel has been authorized to invest up to $1.5 million in two investment funds: a high-risk stock fund and a low-risk money market fund. Each unit of the stock fund costs $200 and provides an annual rate of return of 20%; each unit of the money market fund costs $300 and provides an annual rate of return of 3%. The client is content with minimizing risk subject to the requirement that the annual income from the investment be at least $200,000. According to Intel’s risk measurement system, each unit invested in the stock fund has a risk index of 10, and each unit invested in the money market fund has a risk index of 6. Intel’s client also specified that at least $500,000 has to be invested in the money market fund.

Letting,

S = units purchased in the stock fund

M = units purchased in the money market fund

Leads to the following formulation:

Min 10S + 6M

s.t.

200S + 300M ≤ 1,500,000 Funds available

0.15*200S + 0.03*300M ≥ 200,000 Annual Income

M ≥ 500,000/300 Units in money market

S, M ≥ 0

The computer solution is shown below:

Cell Name Final Value Reduced Objective Allowable Allowable
Cost Coefficient Increase Decrease
$B$15 Units Invested S 4625 0 10 16.6666667 10
$C$15 Jars Produced F 1666.666667 0 6 1E + 30 3.75
Cell Name Final Value Shadow Constraint Allowable Allowable
Price R.H. Side Increase Decrease
$B$20 Whole tomatoes LHS 1425000 0 150000 1E + 30 75000
$B$21 Tomato Sauce LHS 200000 0.25 200000 15000 1942.857143
$B$22 Onion & Jalapeno LHS 1666.666667 3.75 1666.66667 294.117647 1666.666667

Suppose the risk index for the stock fund (the value of S) increases from its current value of 10 to 12. How does the optimal solution change, if at all?

  1. Suppose the risk index for the money market fund (the value of M) increases from its current value of 6 to 8. How does the optimal solution change, if at all?
  2. Suppose S increases to 12 and M increases to 8. How does the optimal solution change, if at all?

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[Solved] StayCool, an Indian manufacturer of Air Conditioners, has two plants – one in Mumbai and the other in Chennai

StayCool, an Indian manufacturer of Air Conditioners, has two plants – one in Mumbai and the other in Chennai. Each plant has a capacity of 250,000 units. The two plants serve the entire country, which is divided into four regional markets: the North, with a demand of 100,000 units; the East, with a demand of 50,000 units; the West, with a demand of 150,000 units; and the South, with a demand of 150,000 units. Two other potential sites for plants are Delhi and Kolkata. The variable production and transport costs (in thousands of rupees) per AC from each potential production site to each market are shown below:

Table: Transportation cost and Production capacity (‘000 Rupees) per AC at StayCool

  North East West South Current Capacity
Chennai 19 20 18 14 250
Delhi 19 15 19 20 0
Kolkata 15 19 20 17 0
Mumbai 20 19 15 18 250
Current Demand (‘000s units) 100 50 150 150  

StayCool is anticipating a compounded growth in demand of 35% for the next year and must plan its network investment decisions carefully. An additional capacity of 150,000 units can be added any of the four plants, by incurring a one-time cost of 1.5 billion rupees. Assume that StayCool plans to meet all demand.

a. Provide the facility configuration model for StayCool in written form. Detail the decision variables with a clear description of each, the objective function and the constraints. Do not copy/paste from Excel.

[Hints: The model is similar to the Home Store example in Lecture 2. The model of the Home Store example can be found in “In-class exercise 2 – Model.doc” available in BrightSpace. The binary variables (one for each plant) should be defined as: yi=1 if an additional capacity of 150,000 is added to plant i; yi=0 otherwise. The capacity constraint for plant 1 (plant in Chennai) is then given by x11+x12+x13+x14≤250+150y1.]

b. Run the model with Excel Solver. Is additional capacity recommended? How much and where?

c. What is the optimal total cost (transportation + production + additional capacity costs) of the solution provided?

d. Now suppose that from some reason, the route from Mumbai to the West is no longer available. How does the optimization problem change in terms of equations? You do not need to re-run the model to find the optimal solution.

[Hints: Think about adding a constraint with respect to the quantity shipped from Mumbai to the West, i.e., x43, or changing the cost parameter c43 which is now 15.]

e. Suppose that the East market must be served by Kolkata due to some service level requirement. How does the optimization problem change in terms of equations? You do not need to re-run the model to find the optimal solution.

[Hints: Think about adding constraints with respect to the quantities shipped from plants to the East, i.e., x12, x22, x32 and x42.]

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[Solved] Write a class definition line and a one line docstring for the class Dog. Write an __init__ method for the class Dog that gives each dog its own name

When you modify the file dog.py the changes will not be reflected in the shell, even if you execute import dog again. Therefore, always start a new shell after modifying the class Dog.

Problem 1
Write a class definition line and a one line docstring for the class Dog. Write an __init__ method for the class Dog that gives each dog its own name and breed. Test this on a successful creation of a Dog object.
>>> import dog
>>> sugar = dog.Dog(‘Sugar’, ‘border collie’)
>>> sugar.name
Sugar
>>> sugar.breed
border collie

Problem 2
Add a data attribute tricks of type list to each Dog instance and initialize it in __init__ to the empty list. The user does not have to supply a list of tricks when constructing a Dog instance. Make sure that you test this successfully.
>>> sugar.tricks
[]

Problem 3
Write a method teach as part of the class Dog. The method teach should add a passed string parameter to tricks and print a message that the dog knows the trick.
>>> sugar.teach(‘frisbee’)
Sugar knows frisbee

Problem 4
Write a method knows as part of the class Dog. The method knows should check whether a passed string parameter is in the dog’s list of tricks, print an appropriate message and return True or False.
>>> sugar.knows(‘frisbee’)
Yes, Sugar knows frisbee
True
>>> sugar.knows(‘arithmetic’)
No, Sugar doesn’t know arithmetic
False

Problem 5
Create a class attribute species of type str to be shared by all instances of the class Dog and set its value to ‘canis familiaris’. The class attribute species should be defined within the class Dog but outside of any method.
>>> dog.Dog.species
‘Canis familiaris’
>>> sugar.species
‘Canis familiaris’

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[Solved] Based on Kenji’s willingness to pay, plot Kenji’s demand curve as a step function on the following graph using blue points

Based on Kenji’s willingness to pay, plot Kenji’s demand curve as a step function on the following graph using blue points (circle symbol) beginning at a quantity of 0 bottles of water.

Suppose the price of a bottle of water is $4.

Use the black line (plus symbol) to draw a price line at $4. Next use the grey point (star symbol) to indicate how many bottles of water Kenji will buy at that price. Finally, use the green point (triangle symbol) to shade the area that represents Kenji’s consumer surplus from his purchases.”

1. Problems 7-4
It is a hot day, and Kenji is thirsty. Here is the value he places on a bottle of water:
Value of first bottl

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Answer to Based on Kenji’s willingness to pay, plot Kenji’s demand curve as a step function on the following graph using blue points…

(Solved) : Research Discuss Case Bryan V Mcpherson Agree Conclusions Court Q39907613

Research and discuss the case Bryan v McPherson. Do you agreewith the conclusions of the court? Why or why not?

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Answer to Research and discuss the case Bryan v McPherson. Do you agree with the conclusions of the court? Why or why not?…

(Solved) : Research Fema Website Community Emergency Response Teams Cert Priorities Goals Cert Purpo Q39894329

Research the FEMA website Community Emergency Response Teams(CERT). What are the priorities and goals of CERT? What is theirpurpose, and how can they be utilized?

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Answer to Research the FEMA website Community Emergency Response Teams (CERT). What are the priorities and goals of CERT? What is …

(Solved) : Research Going Big Part Research Critical Analysis Course D Like Share Tips Regarding Find Q39827951

Research is going to be a big part of your Research &Critical Analysis course, I’d like you all to share any tips youhave regarding finding sources. What periodicals offer substantial,college-level articles? What search engines, or search criteria, doyou feel are most helpful? And, if you’ve used the Monroe library(an excellent resource, by the way), share what that experience waslike.

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(Solved) : Research Indicates Trainers Spend Time Research Evaluation Design Development Self Develop Q39897710

Research indicates that trainers spend most of their time doingwhat?

  

Research

  

Evaluation

  

Design and Development

  

Self Development

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Answer to Research indicates that trainers spend most of their time doing what? Research Evaluation Design and Development Self De…