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6. In a certain city, the daily consurmption of electric power, in millions of kilowatt-hours, can...
In a certain city, the daily consumption of electric power in millions of kilowatt-hours, is a...
In a certain city, the daily consumption of electric power in millions of kilowatt-hours, is a random variable X having a gamma distribution with mean p = 15 and variance of = 75. (a) Find the values of a and B. (b) Find the probability that on any given day the daily power consumption will exceed 15 million kilowatt-hours. (a) a= 3 B = 5 (b) The probability is (Round to four decimal places as needed.)
A power company has a maximum daily capacity of 5 million kilowatt-hours (kWh) of electric power...
A power company has a maximum daily capacity of 5 million
kilowatt-hours (kWh) of electric power available. The daily demand
for power from customers is the total of the peak hours demand and
off-peak hours demand. The following functions estimate the
high-demand (peak) hours and low-demand (off-peak) hours (unit in
millions of kWh):
High demand : 10 – 0.08ph + 0.007pl
Low demand : 9 – 0.18pl + 0.004ph , where variable pl represents
the price per kilowatt-hour during low-demand...
Example 7 The amount of electricity (in hundreds of kilowatt-hours) that a certain power company is...
Example 7 The amount of electricity (in hundreds of kilowatt-hours) that a certain power company is able to sell in a day is found to be a random variable with the following probability density function (pdf): kx k(10-x): 0: 0sxs5 5 x 10 elsewhere n) = (i) (ii) Find the value of k. What is the probability that the amount of electricity that will be sold is more than 600 kilowatt-hours. (ii) What is the probability that the amount of...
The daily use of electricity (measured in megawatt-hours) in a certain town is a normal random...
The daily use of electricity (measured in megawatt-hours) in a certain town is a normal random variable with a mean of 18 and a standard deviation of 6. What is the probability that on a given day, the use of electricity will be between 15.6 and 19.5 megawatt-hours? Refer to the information in Problem 1. When the daily use of electricity exceeds the capacity of the power plant, a blackout occurs. If we know that the probability of a...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; pl...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; plant 2, 50 million; plant 3, 40 million. The peak power demands in these cities, which occur at the same time (2:00 P.M.), are as follows (in kwh): city A, 20 million; city B, 20 million; city C, 30 million; city D, 30 million. The costs of sending...
6. (20 pts.) Suppose that an electric power plant is located close to a well-populated city....
6. (20 pts.) Suppose that an electric power plant is located close to a well-populated city. Some of the residents complain that the power plant causes increased air pollution. One of the marginal cost curves in the diagram reflects private costs and the other reflects social costs. MC-2 40 60 70 110 Q (Megawatts per day) a. Is this a positive or negative externality? b. Which of the two supply curves represents the social marginal cost? C. How many megawatts...
Of $1000 per million kWh. The network is not linked to city 3, however. The utility com- pany wis...
Question 5-8
of $1000 per million kWh. The network is not linked to city 3, however. The utility com- pany wishes to determine the most economical plan for the distribution and purchase of additional energy (a) Formulate the problem as a transportation model. (b) Determine an optimal distribution plan for the utility company (e) Determine the cost of the additional power purchased by each of the three cities Solve Problem 5-6, assuming that there is a 10% power transmission loss...
solve all the questions. of customers arriving t a cetn chckut co r wa Pos th...
solve all the questions.
of customers arriving t a cetn chckut co r wa Pos th a mcan of 0.6 customens px minute 1E heop is the probability that the first customerw arve etve 905 Api 3e b)1-Se The manager of a bakery knows that the daily demand ( the number of chocutate ckes e can sell on any given day) is a random variable X, having the following papbabifity distribution # of cakes X he can sell per day...
7. Correcting for negative externalities - Taxes versus tradable permits Power stations emit sulfur dioxide as...
7. Correcting for negative externalities - Taxes versus tradable permits Power stations emit sulfur dioxide as a waste product. This generates a cost to society that is not paid for by the firm; therefore, pollution is a negative externality of power production. Suppose the U.S. government wants to correct this market failure by getting firms to internalize the cost of pollution. To do this, the government can charge firms for pollution rights (the right to emit a given quantity of...
7. Correcting for negative externalities - Taxes versus tradablepermits Power stations emit sulfur dioxide as a...
7. Correcting for negative externalities - Taxes versus tradablepermits Power stations emit sulfur dioxide as a waste product. This generates a cost to society that is not paid for by the firm; therefore, pollution is a negative externality of power production. Suppose the U.S. government wants to correct this market failure by getting firms to internalize the cost of pollution. To do this, the government can charge firms for pollution rights (the right to emit a given quantity of sulfur...
In a certain city, the daily consumption of electric power in millions of kilowatt-hours, is a random variable X having a gamma distribution with mean p = 15 and variance of = 75. (a) Find the values of a and B. (b) Find the probability that on any given day the daily power consumption will exceed 15 million kilowatt-hours. (a) a= 3 B = 5 (b) The probability is (Round to four decimal places as needed.)
A power company has a maximum daily capacity of 5 million
kilowatt-hours (kWh) of electric power available. The daily demand
for power from customers is the total of the peak hours demand and
off-peak hours demand. The following functions estimate the
high-demand (peak) hours and low-demand (off-peak) hours (unit in
millions of kWh):
High demand : 10 – 0.08ph + 0.007pl
Low demand : 9 – 0.18pl + 0.004ph , where variable pl represents
the price per kilowatt-hour during low-demand...
Example 7 The amount of electricity (in hundreds of kilowatt-hours) that a certain power company is able to sell in a day is found to be a random variable with the following probability density function (pdf): kx k(10-x): 0: 0sxs5 5 x 10 elsewhere n) = (i) (ii) Find the value of k. What is the probability that the amount of electricity that will be sold is more than 600 kilowatt-hours. (ii) What is the probability that the amount of...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; plant 2, 50 million; plant 3, 40 million. The peak power demands in these cities, which occur at the same time (2:00 P.M.), are as follows (in kwh): city A, 20 million; city B, 20 million; city C, 30 million; city D, 30 million. The costs of sending...
6. (20 pts.) Suppose that an electric power plant is located close to a well-populated city. Some of the residents complain that the power plant causes increased air pollution. One of the marginal cost curves in the diagram reflects private costs and the other reflects social costs. MC-2 40 60 70 110 Q (Megawatts per day) a. Is this a positive or negative externality? b. Which of the two supply curves represents the social marginal cost? C. How many megawatts...
Question 5-8
of $1000 per million kWh. The network is not linked to city 3, however. The utility com- pany wishes to determine the most economical plan for the distribution and purchase of additional energy (a) Formulate the problem as a transportation model. (b) Determine an optimal distribution plan for the utility company (e) Determine the cost of the additional power purchased by each of the three cities Solve Problem 5-6, assuming that there is a 10% power transmission loss...
solve all the questions.
of customers arriving t a cetn chckut co r wa Pos th a mcan of 0.6 customens px minute 1E heop is the probability that the first customerw arve etve 905 Api 3e b)1-Se The manager of a bakery knows that the daily demand ( the number of chocutate ckes e can sell on any given day) is a random variable X, having the following papbabifity distribution # of cakes X he can sell per day...
7. Correcting for negative externalities - Taxes versus tradable permits Power stations emit sulfur dioxide as a waste product. This generates a cost to society that is not paid for by the firm; therefore, pollution is a negative externality of power production. Suppose the U.S. government wants to correct this market failure by getting firms to internalize the cost of pollution. To do this, the government can charge firms for pollution rights (the right to emit a given quantity of...
7. Correcting for negative externalities - Taxes versus tradablepermits Power stations emit sulfur dioxide as a waste product. This generates a cost to society that is not paid for by the firm; therefore, pollution is a negative externality of power production. Suppose the U.S. government wants to correct this market failure by getting firms to internalize the cost of pollution. To do this, the government can charge firms for pollution rights (the right to emit a given quantity of sulfur...
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