The board of directors at a power company need to determine the optimal capacity investment in...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The board of directors at a power company need to determine the optimal capacity investment in various types of power plants so as to meet the next-period demand for electricity. At the time of the decision, the next-period demand is unknown and may vary according to three different scenarios specified in the table below. Scenarios High demand 0.2 Medium demand 0.5 Low demand 0.3 To meet the demand, the board of directors are considering investment in four different types of power plants where the cost per unit of capacity installed for plant type 1, 2, 3, and 4 is $10M, $8M, $8M, and $6M, respectively. There is a total budget of $65M for capacity installment. Each installed unit of power plant type 1, 2, 3, and 4 can operate in one of three different modes during the next period, which can be decided upon later once the demand is realized. The energy output and the cost per unit operating level of each power plant type in different modes for the next period are as follows: Mode 1 Mode 2 Mode 3 Mode 1 Mode 2 Mode 3 Plant type 1 13,000 10,500 9,000 Next-period demand (MWh) Probability 86,400 72,000 57,600 Plant type 1 3 M 2.4 M 0.4 M Energy Output Per Unit Installed (in MWh) Plant type 2 11,000 9,500 7,500 Plant type 3 8,000 4.5 M 2.7 M 0.42 M 6,000 4,000 Operating Cost Per Unit Installed (in dollars) Plant type 2 Plant type 3 3.2 M 1.9 M 0.32 M Plant type 4 5,000 3,000 2,000 Plant type 4 3.2 M 2 M 0.55 M a) Formulate a two-stage stochastic program to help the board of directors determine how many units of each power plant type to install in order to meet the next-demand period. Assume fractional units are allowed. Specify the decision variables at each stage, the constraints, and the objective function. b) Solve your formulation using Microsoft Excel Solver and report the optimal values for the investment and operational variables. The board of directors at a power company need to determine the optimal capacity investment in various types of power plants so as to meet the next-period demand for electricity. At the time of the decision, the next-period demand is unknown and may vary according to three different scenarios specified in the table below. Scenarios High demand 0.2 Medium demand 0.5 Low demand 0.3 To meet the demand, the board of directors are considering investment in four different types of power plants where the cost per unit of capacity installed for plant type 1, 2, 3, and 4 is $10M, $8M, $8M, and $6M, respectively. There is a total budget of $65M for capacity installment. Each installed unit of power plant type 1, 2, 3, and 4 can operate in one of three different modes during the next period, which can be decided upon later once the demand is realized. The energy output and the cost per unit operating level of each power plant type in different modes for the next period are as follows: Mode 1 Mode 2 Mode 3 Mode 1 Mode 2 Mode 3 Plant type 1 13,000 10,500 9,000 Next-period demand (MWh) Probability 86,400 72,000 57,600 Plant type 1 3 M 2.4 M 0.4 M Energy Output Per Unit Installed (in MWh) Plant type 2 11,000 9,500 7,500 Plant type 3 8,000 4.5 M 2.7 M 0.42 M 6,000 4,000 Operating Cost Per Unit Installed (in dollars) Plant type 2 Plant type 3 3.2 M 1.9 M 0.32 M Plant type 4 5,000 3,000 2,000 Plant type 4 3.2 M 2 M 0.55 M a) Formulate a two-stage stochastic program to help the board of directors determine how many units of each power plant type to install in order to meet the next-demand period. Assume fractional units are allowed. Specify the decision variables at each stage, the constraints, and the objective function. b) Solve your formulation using Microsoft Excel Solver and report the optimal values for the investment and operational variables.
Expert Answer:
Answer rating: 100% (QA)
a Formulate a twostage stochastic program to help the board of directors determine how many units of ... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
The board of directors of Morales Publishing, Inc., has commissioned a capital structure study. The company has total assets of $40,000,000. It has earnings before interest and taxes of $8,000,000...
-
There are 12 members on the board of directors for Cliffside General Hospital. a. If they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different...
-
The board of directors of Mona Publishing, Inc., has commissioned a capital structure study. The company has total assets of US$40,000,000. It has earnings before interest and taxes of US$8,000,000...
-
The tasks must you complete as part of building the subledger applications while implementing Oracle Accounting Hub Cloud? Explain.
-
Explain the mode of action of the herpes viral RNAs and how they confound the immune system.
-
Sheridan Service received an invoice dated September 25 from Wolfedale Automotive. The invoice amount was $2540.95, and the payment terms were 3/10, 1/20, n/30. Sheridan Service made a payment on...
-
Consider the multiple regression model fit to the National Football League team performance data in Problem 3.1. Problem 3.1 Consider the National Football League data in Table B.1. a. Construct a...
-
a. Carlys Catering provides meals for parties and special events. In Chapter 2, you wrote an application that prompts the user for the number of guests attending an event, displays the company motto...
-
On August 1 , 2 0 2 2 , Colombo Company s treasurer signed a note promising to pay $ 1 2 2 , 1 0 0 on December 3 1 , 2 0 2 2 . The proceeds of the note were $ 1 1 5 , 8 0 0 . Required: a . Calculate...
-
1. Personality is a relatively stable set of traits that aids in explaining and predicting individual behavior. What are some of Mark Cuban's traits that can explain his behavior during Maverick...
-
Mary, Ali and Nzioka are trading as Mali enterprises. They share profits and losses in the ratio of 2 = 1 1 respectively. The following is a statement of comprehensive income for the year ended 31st...
-
Kinetics of hydrolysis of ethyl acetate studied by conductance measurements. 1. To monitor the rate of reaction of the hydrolysis of ethyl acetate using conductivity 2. To determine the rate constant...
-
The type of reaction accompanied by release of energy is called O exothermic. O extrothermic. O introthermic. O endothermic
-
Which statement best describes what happens in a precipitation reaction? Two aqueous solutions are mixed together and a solid forms. Two aqueous solutions are mixed together and a reaction occurs....
-
Draw the Lewis structures of two possible arrangements of atoms of hypofluorous acid-HOF and HFO.
-
How would the rate of an SN1 reaction be affected if the nucleophile concentration was quartered and the alkyl halide concentration was quadrupled? View Available Hint(s) O The rate of the reaction...
-
1 Briefly discuss the principles governments should follow when designing entrepreneurship policies. 2. Should the government provide direct financial assistance to entrepreneurs (such as financial...
-
Express these numbers in standard notation. a. 2.87 10-8 b. 1.78 1011 c. 1.381 10-23
-
How would you respond to a project team member who feels that risk management is a waste of time because the future cannot be predicted? Instead, this person prefers to react to problems as they...
-
Your firm manufactures fasteners (screws, bolts, anchors, tacks, and so on) that are sold all over the United States. For the past five years, the company has operated a Web site where customers can...
-
You are the CIO of a company facing a potential class action lawsuit over damages caused by one of its products. There has been some discussion at work about the potential for senior managers to be...
-
What is the difference between leading zeros and trailing zeros? Which ones are considered significant digits?
-
Explain the difference between number of digits, number of decimal places, and number of significant digits in a numerical value. Illustrate your explanation using the number 0.03720 .
-
What is the simplest way to convert a quantity given in one unit to the same quantity given in a different unit?
Study smarter with the SolutionInn App