Question
In: Advanced Math
An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These...
An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to regional distributors in Dallas, Atlanta, and Denver. The shipping costs vary, and the company would like to find the least-cost way to meet the demands at each of the distribution centers. Dallas needs to receive 800 air conditioners per month, Atlanta needs 600, and Denver needs 200. Houston has 850 air conditioners available each month, Phoenix has 650, and Memphis has 300. The shipping cost per unit from Houston to Dallas is $8, to Atlanta is $12, and to Denver is $10. The cost per unit from Phoenix to Dallas is $10, to Atlanta is $14, and to Denver is $9. The cost per unit from Memphis to Dallas is $11, to Atlanta is $8, and to Denver is $12. How many units should be shipped from each plant to each regional distribution center? What is the total cost for this? I need the linear programming model for this problem and written variables, constraints, and minimize cost.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
Allen Air Conditioning manufactures room air conditioners at plants in Houston?, Phoenix?, and Memphis. These are...
Allen Air Conditioning manufactures room air conditioners at
plants in Houston?, Phoenix?, and Memphis. These are sent to
regional distributors in Dallas?, Atlanta?, and Denver. The
shipping costs? vary, and the company would like to find the least
cost way to meet the demands at each of the distribution
centers.??Dallas needs to receive 800 air conditioners per? month,
Atlanta needs 500?, and Denver needs 350. Houston has 850 air
conditioners available each? month, Phoenix has 650?, and Memphis
has 300....
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a...
Quality Air Conditioning manufactures three home air
conditioners: an economy model, a standard model, and a deluxe
model. The profits per unit are $65, $97, and $139, respectively.
The production requirements per unit are as follows:
Number of
Fans
Number of
Cooling Coils
Manufacturing
Time (hours)
Economy
1
1
8
Standard
1
2
12
Deluxe
1
4
14
For the coming production period, the company has 350 fan
motors, 360 cooling coils, and 3000 hours of manufacturing time
available. How...
An air conditioning company manufactures three home air conditioners: a regular model, a super model, and...
An air conditioning company manufactures three home air
conditioners: a regular model, a super model, and a deluxe model.
The profits per unit are $50, $70, and $140, respectively. The
production requirements per unit and the availability of the three
resources are given below:
Regular Model
Super Model
Deluxe Model
Available
Number of fans
1
1
1
420
Number of cooling coils
1
2
4
650
Manufacturing Time
10
15
20
4500 hours
How many regular models, super models, and...
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a...
Quality Air Conditioning manufactures three home air
conditioners: an economy model, a standard model, and a deluxe
model. The profit per unit are $63, $95, and $135, respectively.
The production requirements per unit are as follows.
Number
Number of
Manufacturing
of Fans Cooling Coils Time (hours)
Economy 1
1
8
Standard 1
2
12
Deluxe 1
4
14
For...
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a...
Quality Air Conditioning manufactures three home air
conditioners: an economy model, a standard model, and a deluxe
model. The profits per unit are $63, $95, and $135, respectively.
The production requirements per unit are as follows:
Number of Fans
Number of Cooling Coils
Manufacturing Time (hours) Economy
Economy
1
1
8
Standard
1
2
12
Deluxe
1
4
14
For the coming production period, the company has 200 fan motors,
320 cooling coils, and 2400 hours of manufacturing time available....
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a...
Quality Air Conditioning manufactures three home air
conditioners: an economy model, a standard model, and a deluxe
model. The profits per unit are $69, $91, and $127, respectively.
The production requirements per unit are as follows:
Number of
Fans
Number of
Cooling Coils
Manufacturing
Time (hours)
Economy
1
1
8
Standard
1
2
12
Deluxe
1
4
14
For the coming production period, the company has 200 fan
motors, 340 cooling coils, and 2800 hours of manufacturing time
available. How...
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a...
Quality Air Conditioning manufactures three home air
conditioners: an economy model, a standard model, and a deluxe
model. The profits per unit are $59, $89, and $137, respectively.
The production requirements per unit are as follows:
Number of
Fans
Number of
Cooling Coils
Manufacturing
Time (hours)
Economy
1
1
8
Standard
1
2
12
Deluxe
1
4
14
For the coming production period, the company has 250 fan
motors, 380 cooling coils, and 2600 hours of manufacturing time
available. How...
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a...
Quality Air Conditioning manufactures three home air
conditioners: an economy model, a standard model, and a deluxe
model. The profits per unit are $67, $95, and $133, respectively.
The production requirements per unit are as follows:
Number of
Fans
Number of
Cooling Coils
Manufacturing
Time (hours)
Economy
1
1
8
Standard
1
2
12
Deluxe
1
4
14
For the coming production period, the company has 300 fan
motors, 340 cooling coils, and 2000 hours of manufacturing time
available. How...
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a...
Quality Air Conditioning manufactures three home air
conditioners: an economy model, a standard model, and a deluxe
model. The profits per unit are $61, $99, and $135, respectively.
The production requirements per unit are as follows:
Number of
Fans
Number of
Cooling Coils
Manufacturing
Time (hours)
Economy
1
1
8
Standard
1
2
12
Deluxe
1
4
14
For the coming production period, the company has 250 fan
motors, 360 cooling coils, and 2600 hours of manufacturing time
available. How...
An air conditioning company servicing a certain machine room guarantees that the temperature in the room...
An air conditioning company servicing a certain machine room
guarantees that the temperature in the room stays below 20o C. Due
to malfunctioning of the equipment operating in the machine room,
it is suspected that the average temperature actually exceeds 20o
for more or less extended periods of time. Seven temperature
measurements are collected throughout the day and the following
temperatures are observed, 20.8, 20.2, 20.9, 21.5, 22.2, 21.2,
19.8. Assuming that the temperature is at least approximately
normally distributed,...
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