7. Identify two factors that affect the lifetime of pollutants in the atmosphere, and explain how these two factors affect pollutant lifetime. (SHORT ESSAY)
In: Civil Engineering
Two candidates are competing in a majority rule election with 7 voters. The possible policies are ordered on a number line and creatively labeled {1, 2, 3, 4, 5, 6, 7}. Each policy is the favorite of one voter, and each voter has single peaked preferences. The candidates, L and R, announce policies, and whomever gets the most votes wins and implements the policy she announced. (Each voter votes for whichever candidate they strictly prefer. If a voter is indifferent, she allocates exactly half a vote to each candidate. If the candidates tie, they flip a coin, and the winner of the coin toss wins the election and implements the policy she announced.) Unlike the Downsian model, the candidates also have single peaked policy preferences. Candidate L’s favorite policy is 2. Candidate R’s favorite policy is 6. (Politics is pretty polarized these days.) In addition, the winning candidate obtains 10 jollies from winning the election.
So:
• if L wins with a policy of k in {1,2,3,4,5,6,7}, then L obtains −|2 − k| + 10 jollies, and R obtains −|6 − k| jollies.
• If R wins with a policy of j in {1,2,3,4,5,6,7}, then candidate L obtains −|2 − j| jollies, and R obtains −|6 − j| + 10 jollies.
(a) If L announces a policy of 4, what is R’s best response?
(b) Is it a Nash equilibrium of this game for each candidate to announce 4?
(c) Is it a Nash equilibrium for each candidate to announce her ideal point?
(d) Does your answers change if the candidates each obtain 2 jollies from winning the election?
In: Economics
7. Let m be a fixed positive integer.
(a) Prove that no two among the integers 0, 1, 2, . . . , m − 1 are congruent to each other modulo m.
(b) Prove that every integer is congruent modulo m to one of 0, 1, 2, . . . , m − 1.
In: Advanced Math
Suppose a random sample of size 50 is selected from a population with
σ = 8.
Find the value of the standard error of the mean in each of the following cases. (Use the finite population correction factor if appropriate. Round your answers to two decimal places.)
(a)
The population size is infinite.
(b)
The population size is
N = 50,000.
(c)
The population size is
N = 5,000.
(d)
The population size is
N = 500.
In: Statistics and Probability
Suppose that the annual demand will be 10000 units. The company operates 250 days/year, with two 8-hour shifts a day. Management believes that a capacity cushion of 15% is the best. Average lot site is 50 units and the standard processing time is 0.5 hours. Each lot requires 0.2 hours standard set up time. How many production line would be needed to compensate the demand?(15pts)
In: Operations Management
You may need to use the appropriate appendix table or technology to answer this question.
A simple random sample of 50 items from a population with
σ = 8
resulted in a sample mean of 38. (Round your answers to two decimal places.)
(a)
Provide a 90% confidence interval for the population mean.
to
(b)
Provide a 95% confidence interval for the population mean.
to
(c)
Provide a 99% confidence interval for the population mean.
to
In: Statistics and Probability
SAP Co. uses a periodic inventory system. It records show the following for the month of February:
Date Units UnitPrice Total Cost
2/1 40 $20.00 $800
2/15 Purchases 130 22.00 2,860
2/24 Purchases 110 23.50 2,585
Totals 280 $6,245
2/20 Sales 100 47.00
2/27 Sales 130 47.00
Given the information above, please calculate COGS,Ending Inventory, and Gross Profit under each of the following methods. (Please explain)
1) FIFO:
2) LIFO:
3) Average Cost:
In: Accounting
Floyd’s Bumpers has distribution centers in Lafayette, Indiana; Charlotte, North Carolina; Los Angeles, California; Dallas, Texas; and Pittsburgh, Pennsylvania. Each distribution center carries all products sold. Floyd’s customers are auto repair shops and larger auto parts retail stores. You are asked to perform an analysis of the customer assignments to determine which of Floyd’s customers should be assigned to each distribution center. The rule for assigning customers to distribution centers is simple: A customer should be assigned to the closest center. The worksheet Floyds in the provided datafile contains the distance from each of Floyd’s 1,029 customers to each of the five distribution centers. Your task is to build a list that tells which distribution center should serve each customer. The following functions will be helpful: =MIN(array). The MIN function returns the smallest value in a set of numbers. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MIN(A1:A3) returns the number 6, because it is the smallest of the three numbers: =MATCH(lookup_value, lookup_array, match type). The MATCH function searches for a specified item in a range of cells and returns the relative position of that item in the range. The lookup_value is the value to match, the lookup_array is the range of search, and match type indicates the type of match (use 0 for an exact match). For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MATCH(25,A1:A3,0) returns the number 2, because 25 is the second item in the range. =INDEX(array, column_num). The INDEX function returns the value of an element in a position of an array. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =INDEX(A1:A3, 2) 5 25, because 25 is the value in the second position of the array A1:A3. (Hint: Create three new columns. In the first column, use the MIN function to calculate the minimum distance for the customer in that row. In the second column use the MATCH function to find the position of the minimum distance. In the third column, use the position in the previous column with the INDEX function referencing the row of distribution center names to find the name of the distribution center that should service that customer.) Click on the datafile logo to reference the data. (Hint: The INDEX function may be used with a two-dimensional array: =INDEX(array, row_num, column_num), where array is a matrix, row_num is the row numbers and column_num is the column position of the desired element of the matrix.) Floyd's Bumpers pays a transportation company to ship its product to its customers. Floyd's Bumpers ships full truckloads to its customers. Therefore, the cost for shipping is a function of the distance traveled and a fuel surcharge (also on a per mile basis). The cost per mile is $2.46 and the fuel surcharge is $.56 per mile. The worksheet May in the provided datafile contains data for shipments for the month of May (each record is simply the customer zip code for a given truckload shipment), as well as the distance table from the distribution centers to each customer. Use the VLOOKUP function to retrieve the distance traveled for each shipment from the exercise completed above, and calculate the charge for each shipment. What is the total amount that Floyd's Bumpers spends on these May shipments? If required, round your answers to two decimal places.
In: Statistics and Probability
Floyd’s Bumpers has distribution centers in Lafayette, Indiana; Charlotte, North Carolina; Los Angeles, California; Dallas, Texas; and Pittsburgh, Pennsylvania. Each distribution center carries all products sold. Floyd’s customers are auto repair shops and larger auto parts retail stores. You are asked to perform an analysis of the customer assignments to determine which of Floyd’s customers should be assigned to each distribution center. The rule for assigning customers to distribution centers is simple: A customer should be assigned to the closest center. The worksheet Floyds in the provided datafile contains the distance from each of Floyd’s 1,029 customers to each of the five distribution centers. Your task is to build a list that tells which distribution center should serve each customer. The following functions will be helpful:
=MIN(array)
The MIN function returns the smallest value in a set of numbers. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MIN(A1:A3) returns the number 6, because it is the smallest of the three numbers:
=MATCH(lookup_value, lookup_array, match type)
The MATCH function searches for a specified item in a range of cells and returns the relative position of that item in the range. The lookup_value is the value to match, the lookup_array is the range of search, and match type indicates the type of match (use 0 for an exact match).
For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MATCH(25,A1:A3,0) returns the number 2, because 25 is the second item in the range.
=INDEX(array, column_num)
The INDEX function returns the value of an element in a position of an array. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =INDEX(A1:A3, 2) 5 25, because 25 is the value in the second position of the array A1:A3. (Hint: Create three new columns. In the first column, use the MIN function to calculate the minimum distance for the customer in that row. In the second column use the MATCH function to find the position of the minimum distance. In the third column, use the position in the previous column with the INDEX function referencing the row of distribution center names to find the name of the distribution center that should service that customer.)
Click on the datafile logo to reference the data.
(Hint: The INDEX function may be used with a two-dimensional array: =INDEX(array, row_num, column_num), where array is a matrix, row_num is the row numbers and column_num is the column position of the desired element of the matrix.)
Floyd's Bumpers pays a transportation company to ship its product to its customers. Floyd's Bumpers ships full truckloads to its customers. Therefore, the cost for shipping is a function of the distance traveled and a fuel surcharge (also on a per mile basis). The cost per mile is $2.59 and the fuel surcharge is $.56 per mile. The worksheet May in the provided datafile contains data for shipments for the month of May (each record is simply the customer zip code for a given truckload shipment), as well as the distance table from the distribution centers to each customer. Use the VLOOKUP function to retrieve the distance traveled for each shipment from the exercise completed above, and calculate the charge for each shipment. What is the total amount that Floyd's Bumpers spends on these May shipments?
If required, round your answers to two decimal places.
In: Accounting
Floyd’s Bumpers has distribution centers in Lafayette, Indiana; Charlotte, North Carolina; Los Angeles, California; Dallas, Texas; and Pittsburgh, Pennsylvania. Each distribution center carries all products sold. Floyd’s customers are auto repair shops and larger auto parts retail stores. You are asked to perform an analysis of the customer assignments to determine which of Floyd’s customers should be assigned to each distribution center. The rule for assigning customers to distribution centers is simple: A customer should be assigned to the closest center. The worksheet Floyds in the provided datafile contains the distance from each of Floyd’s 1,029 customers to each of the five distribution centers. Your task is to build a list that tells which distribution center should serve each customer. The following functions will be helpful:
=MIN(array).
The MIN function returns the smallest value in a set of numbers. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MIN(A1:A3) returns the number 6, because it is the smallest of the three numbers:
=MATCH(lookup_value, lookup_array, match type).
The MATCH function searches for a specified item in a range of cells and returns the relative position of that item in the range. The lookup_value is the value to match, the lookup_array is the range of search, and match type indicates the type of match (use 0 for an exact match).
For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MATCH(25,A1:A3,0) returns the number 2, because 25 is the second item in the range.
=INDEX(array, column_num).
The INDEX function returns the value of an element in a position of an array. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =INDEX(A1:A3, 2) 5 25, because 25 is the value in the second position of the array A1:A3. (Hint: Create three new columns. In the first column, use the MIN function to calculate the minimum distance for the customer in that row. In the second column use the MATCH function to find the position of the minimum distance. In the third column, use the position in the previous column with the INDEX function referencing the row of distribution center names to find the name of the distribution center that should service that customer.)
Click on the datafile logo to reference the data.
(Hint: The INDEX function may be used with a two-dimensional array: =INDEX(array, row_num, column_num), where array is a matrix, row_num is the row numbers and column_num is the column position of the desired element of the matrix.)
Floyd's Bumpers pays a transportation company to ship its product to its customers. Floyd's Bumpers ships full truckloads to its customers. Therefore, the cost for shipping is a function of the distance traveled and a fuel surcharge (also on a per mile basis). The cost per mile is $2.54 and the fuel surcharge is $.56 per mile. The worksheet May in the provided datafile contains data for shipments for the month of May (each record is simply the customer zip code for a given truckload shipment), as well as the distance table from the distribution centers to each customer. Use the VLOOKUP function to retrieve the distance traveled for each shipment from the exercise completed above, and calculate the charge for each shipment. What is the total amount that Floyd's Bumpers spends on these May shipments?
If required, round your answers to two decimal places.
In: Advanced Math