Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of...
Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein’s management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries, different prices can be charged because of the various industry pricing structures. However, slightly different production costs at the two plants and varying transportation costs between the plants and customers make a "sell to the highest bidder" strategy unacceptable. After considering price, production costs, and transportation costs, Klein established the following profit per unit for each plant–customer alternative:
| Customer | ||||||||
| Plant | D1 | D2 | D3 | D4 | ||||
| Clifton Springs | $128 | $136 | $128 | $160 | ||||
| Danville | $136 | $120 | $112 | $152 | ||||
The plant capacities and customer orders are as follows:
| Plant | Capacity (units) | Distributor Orders (units) | |||
| Clifton Springs | 25000 | D1 10000 | |||
| D2 25000 | |||||
| Danville | 15000 | D315000 | |||
| D410000 | |||||
How many units should each plant produce for each customer in order to maximize profits? Which customer demands will not be met? Choose correct network model and Show linear programming formulation. If the constant is "1" it must be entered in the box. If your answer is zero, enter "0".
Note: Dummy origin has supply of 20000.
| (i) | (ii) | ||
| (iii) | (iv) | ||
Let xij = amount of units produced by plant node i for customer node j.
| Max | x11 | + | x12 | + | x13 | + | x14 | + | x21 | + | x22 | + | x23 | |||||
| + | x24 | + | x31 | + | x32 | + | x33 | + | x34 | |||||||||
| s.t. | x11 | + | x12 | + | x13 | + | x14 | ≤ | ||||||||||
| x21 | + | x22 | + | x23 | + | x24 | ≤ | |||||||||||
| x31 | + | x32 | + | x33 | + | x34 | ≤ | Dummy | ||||||||||
| x11 | + | x21 | + | x31 | = | |||||||||||||
| x12 | + | x22 | + | x32 | = | |||||||||||||
| x13 | + | x23 | + | x33 | = | |||||||||||||
| x14 | + | x24 | + | x34 | = | |||||||||||||
| xij ≥ 0 for all i, j | ||||||||||||||||||
| Units | Cost, $ | |
| Clifton Springs - D1 | ||
| Clifton Springs - D2 | ||
| Clifton Springs - D3 | ||
| Clifton Springs - D4 | ||
| Danville - D1 | ||
| Danville - D2 | ||
| Danville - D3 | ||
| Danville - D4 | ||
| Dummy - D1 | ||
| Dummy - D2 | ||
| Dummy - D3 | ||
| Dummy - D4 | ||
| Total Cost |
Customer 2 demand has a shortfall of 10000 .
Customer 3 demand of is not satisfied.
Feedback
Partially correct
Homework Answers
The model is shown below
The formulas are shown below
The solver parameters are shown below
The result is shown below
Add Answer to:
Klein Chemicals, Inc., produces a special oil-based material
that is currently in short supply. Four of...
please help! thank you!! (sorry for so many pictures. this is the only way i could...
please help! thank you!!
(sorry for so many pictures. this is the only way i could take
them without them being blurry)
Problem 6-06 Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries,...
To remind you, the LP is Min Transportation costs: 3x11 + 2 x12 + 7 x13...
To remind you, the LP is Min Transportation costs: 3x11 + 2 x12 + 7 x13 + 6 x14 + 7x21 + 5 x22 + 2 x23 + 3 x24 + 2x31 + 5 x32 + 4 x33 + 5 x34 s.t. Need to make sure demand at destination is satisfied: Boston demand: x11 + x21 + x31 = 6000 Chicago demand: x12 + x22 + x32 = 4000 St. Louis demand: x13 + x23 + x33 = 2000 Lexington...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They ship them to major distribution centers in Charlotte. Birmingham, and Tallahassee. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. ABC's supply chain manager faces the problem of determining how much to ship between each...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They ship them to major distribution centers in Charlotte. Birmingham, and Tallahassee. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. ABC's supply chain manager faces the problem of determining how much to ship between each...
The last questions choices are customer 1,customer 2, customer 3, customer 4 demand has a shortfall of 2000,4000,6000,8000,10000 customer 1, customer 2, customer 3, customer 4 demand of 2000,4000...
The last questions choices are customer 1,customer 2, customer
3, customer 4 demand has a shortfall
of 2000,4000,6000,8000,10000
customer 1, customer 2, customer 3, customer 4 demand of
2000,4000,6000,8000,10000
Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply, Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They ship them to major distribution centers in Charlotte. Birmingham, and Tallahassee. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. ABC's supply chain manager faces the problem of determining how much to ship between each...
Problem 10-05 Premier Consulting's two consultants, Avery and Baker, can be scheduled to work for clients up to a...
Problem 10-05 Premier Consulting's two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the dients over the four-week period are as...
Use the table below to answer the following question(s). The Riviera Transport Company (RTC) produces car...
Use the table below to answer the following question(s). The Riviera Transport Company (RTC) produces car accessories at two plants: Dallas and Atlanta. They ship them to major distribution centers in Houston, San Jose, Jacksonville, and Memphis. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. RTC's supply chain manager faces...
Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply
Problem 6-06Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries, different prices can be charged because of the various industry pricing structures. However slightly different production costs at the two plants and varying...
Top Pharmaceuticals specializes in the distribution of one of its most popular drugs for hypertension. Top Pharmaceutic...
Top Pharmaceuticals specializes in the distribution of one of its most popular drugs for hypertension. Top Pharmaceuticals moves its product line from 3 sources (New York, Detroit and Chicago) to 4 destinations (Boston, Richmond, Atlanta and Dallas) per the information in the table that follows. Top Pharmaceuticals desires to do so at minimum transportation cost. Richmond (D2) Dallas (D4) Boston (D1) Atlanta (D3) Supply From New York (S1) 40 35 30 32 1,200 Detroit (S2) 42 37 40 25 1,000...
please help! thank you!!
(sorry for so many pictures. this is the only way i could take
them without them being blurry)
Problem 6-06 Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries,...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They ship them to major distribution centers in Charlotte. Birmingham, and Tallahassee. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. ABC's supply chain manager faces the problem of determining how much to ship between each...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They ship them to major distribution centers in Charlotte. Birmingham, and Tallahassee. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. ABC's supply chain manager faces the problem of determining how much to ship between each...
The last questions choices are customer 1,customer 2, customer
3, customer 4 demand has a shortfall
of 2000,4000,6000,8000,10000
customer 1, customer 2, customer 3, customer 4 demand of
2000,4000,6000,8000,10000
Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply, Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They ship them to major distribution centers in Charlotte. Birmingham, and Tallahassee. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. ABC's supply chain manager faces the problem of determining how much to ship between each...
Problem 10-05 Premier Consulting's two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the dients over the four-week period are as...
Use the table below to answer the following question(s). The Riviera Transport Company (RTC) produces car accessories at two plants: Dallas and Atlanta. They ship them to major distribution centers in Houston, San Jose, Jacksonville, and Memphis. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. RTC's supply chain manager faces...
Top Pharmaceuticals specializes in the distribution of one of its most popular drugs for hypertension. Top Pharmaceuticals moves its product line from 3 sources (New York, Detroit and Chicago) to 4 destinations (Boston, Richmond, Atlanta and Dallas) per the information in the table that follows. Top Pharmaceuticals desires to do so at minimum transportation cost. Richmond (D2) Dallas (D4) Boston (D1) Atlanta (D3) Supply From New York (S1) 40 35 30 32 1,200 Detroit (S2) 42 37 40 25 1,000...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago