Consider a simple power network that has three power plants. The cost table and capacities for...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a simple power network that has three power plants. The cost table and capacities for the power plants, along with the explanation of the metrics are provided below: Metric Metric Plant1 Plant2 Plant3 Descriptions Production Cost (per unit) Туре $30 $130 $22 $100 $18 $100 Cost Factors Commitment Cost Maximum Committed Capacity (units) Minimum Committed Capacity (units) Саpacity 20 30 50 Factors 10 20 Production cost indicates per unit electricity cost for the power plant. Commitment cost is the cost associated with keeping the power plant turned on. Note that to produce electricity, a plant needs to be committed (i.e. turned on). For instance, for Plant 3 to produce 30 units of electricity in the first hour, it first needs to be committed – which costs $100, and then needs to spend $(30*18) on production of 30 units of electricity. Entire cost associated with electricity production would be $(100+30*18) = $640. If a plant is committed, it can produce anywhere between its minimum committed capacity to its maximum committed capacity. Referring back to the example of Plant 3, if Plant 3 is committed (turned on), it can produce anywhere between 20 units and 50 units. Demands for the next 10 hours is listed below: 1 2 3 4 7 8 10 50 50 80 70 80 70 50 60 70 100 [P2:50 pts] Consider the same problem as in P1. Assume that you now have access to a battery (electricity storage device) that can store 25 units of electricity. Running costs of the battery is negligible. In this variant of the problem, some of the production at hour h can be stored and serve the electricity demand at hour h+1. Formulate the problem to identify the production and electricity storage schedule that minimizes the cost of satisfying the demand. Consider a simple power network that has three power plants. The cost table and capacities for the power plants, along with the explanation of the metrics are provided below: Metric Metric Plant1 Plant2 Plant3 Descriptions Production Cost (per unit) Туре $30 $130 $22 $100 $18 $100 Cost Factors Commitment Cost Maximum Committed Capacity (units) Minimum Committed Capacity (units) Саpacity 20 30 50 Factors 10 20 Production cost indicates per unit electricity cost for the power plant. Commitment cost is the cost associated with keeping the power plant turned on. Note that to produce electricity, a plant needs to be committed (i.e. turned on). For instance, for Plant 3 to produce 30 units of electricity in the first hour, it first needs to be committed – which costs $100, and then needs to spend $(30*18) on production of 30 units of electricity. Entire cost associated with electricity production would be $(100+30*18) = $640. If a plant is committed, it can produce anywhere between its minimum committed capacity to its maximum committed capacity. Referring back to the example of Plant 3, if Plant 3 is committed (turned on), it can produce anywhere between 20 units and 50 units. Demands for the next 10 hours is listed below: 1 2 3 4 7 8 10 50 50 80 70 80 70 50 60 70 100 [P2:50 pts] Consider the same problem as in P1. Assume that you now have access to a battery (electricity storage device) that can store 25 units of electricity. Running costs of the battery is negligible. In this variant of the problem, some of the production at hour h can be stored and serve the electricity demand at hour h+1. Formulate the problem to identify the production and electricity storage schedule that minimizes the cost of satisfying the demand.
Expert Answer:
Answer rating: 100% (QA)
It can be observed that with less production and commitment cost for Plant 3 Therefore plant 3 is tu... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Consider a system of nuclear power plants that produce 3400MW. (a) What total mass of 235/92U fuel would be required to operate these plants for 1yr, assuming that 200MeV is released per fission? (b)...
-
Consider a system of nuclear power plants that produce 2100MW. (a) What total mass of 23592U fuel would be required to operate these plants for 1 yr, assuming that 200 MeV is released per fission?...
-
The Weigelt Corporation has three branch plants with excess production capacity. Fortunately, the corporation has a new product ready to begin production, and all three plants have this capability,...
-
Consider the integral where n is an integer. Using the trigonometric identity 1 + tan 2 x = sec 2 x, show that and hence obtain the recurrence relation Use this to find (Recurrence relations of this...
-
Joe Grad has just arrived at the big U. He has a fellowship that covers his tuition and the rent on an apartment. In order to get by, Joe has become a grader in intermediate price theory, earning...
-
Daniel Company uses a periodic inventory system. Data for 2015: beginning merchandise inventory (December 31, 2014), 2,000 units at $38; purchases, 8,000 units at $40; expenses (excluding income...
-
In 2016, a father of two minor children in Cuyahoga county, Ohio, filed a claim to determine custody of the children. At the pretrial, the father informed the magistrate he wanted to be named a legal...
-
Hobart, Evans, and Nix is a small law firm that employs 10 partners and 12 support persons. The firm uses a job-order costing system to accumulate costs chargeable to each client, and it is organized...
-
Suppose that farmers have a mandatory demand expansion program where all farmers pay a certain amount to fund a promotion program. You have estimated the following market supply and demand functions...
-
1. Suppose you wanted to predict Winnings ($) using only the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), or the number of top ten finishes (Top...
-
You need to write a paper about the Responsibilities of a Manager and a Leader In Relation To the Reduction of Workplace Stress
-
Identify passive voice in the following sentences and convert it to active voice. In some cases, you may need to add information to do so. You may use different words as long as you retain the basic...
-
Listed here are several things an organization might like its employees to do: 1. Write fewer emails. 2. Volunteer at a local food pantry. 3. Volunteer to recruit interns at a job fair. 4. Attend...
-
Revise each of the following sentences to focus on the options that remain, not those that are closed off. 1. Applications that are postmarked after January 15 will not be accepted. 2. All new...
-
In the U.S., credit card companies make offers to people fresh out of bankruptcy. They do this because they know that those targeted people cannot file for Chapter 7 bankruptcy again for eight years....
-
In each of the following pairs, identify the more favorable term. When is its use justifiable? 1. wasted/sacrificed 2. illegal alien/immigrant 3. bring about/cause 4. terminate/fire 5....
-
When a rope is pulled across a fixed cylinder, as shown in the figure below, the tension in the rope is greater on one side than the other because of friction between the rope and the cylinder. In...
-
Is times interest earned meaningful for utilities? Why or why not?
-
The demand for energy-efficient appliances is given by P = 100/Q, while the inverse supply (and marginal private cost) curve is MPC = Q. By reducing demand on the electricity network,...
-
In a perfectly competitive market, the market demand curve is Qd = 10 Pd, and the market supply curve is Qs = 1.5Ps. a) Verify that the market equilibrium price and quantity in the absence of...
-
A consulting firm has just finished a study for a manufacturer of wine. It has determined that an additional man-hour of labor would increase wine output by 1,000 gallons per day. Adding another...
-
Answer the following questions: 1. Name at least five industries that might be affected by weather. 2. Is it appropriate for the forensic accountant/fraud examiner to examine the effect of weather?...
-
Discuss why collusive frauds, especially when perpetrated among related parties, is particularly difficult to detect?
-
In what year was the original company formed?
Study smarter with the SolutionInn App