1. A certain computer company produces three kinds of computers, labelled A, B and C. This computer company has three factories, labelled 1, 2 and 3. The profit for each computer, the in-process space needed to produce each computer, and the market demand per day is indicated below: Product: C A B 350 550 300 10 Market demand/ day: 900 1200 750 Profit ($): In-process space (ft2): 20 15 As long as the number of computers produced are not more than the market demand, they will be sold. The three factories have the following production space: Factory: 2 3 Production space (ft2): 13000 12000 5000 (a) Identify variables for the optimization problem (b) Write down the objective function (c) Write down the constraints for production space (d) Write down the constraints for market demand. (e) Write down any other constraints needed to complete the optimization problem
1. A certain computer company produces three kinds of computers, labelled A, B and C. This computer company has three factories, labelled 1, 2 and 3. The profit for each computer, the in-process space needed to produce each computer, and the market demand per day is indicated below: Product: C A B 350 550 300 10 Market demand/ day: 900 1200 750 Profit ($): In-process space (ft2): 20 15 As long as the number of computers produced are not more than the market demand, they will be sold. The three factories have the following production space: Factory: 2 3 Production space (ft2): 13000 12000 5000 (a) Identify variables for the optimization problem (b) Write down the objective function (c) Write down the constraints for production space (d) Write down the constraints for market demand. (e) Write down any other constraints needed to complete the optimization problem
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![1. A certain computer company produces three kinds of computers, labelled A, B and C. This
computer company has three factories, labelled 1, 2 and 3. The profit for each computer,
the in-process space needed to produce each computer, and the market demand per day is
indicated below:
A B C
350 550 300
Product:
Profit ($):
In-process space (ft2): 20
Market demand/ day: 900 1200 750
15
10
As long as the number of computers produced are not more than the market demand, they
will be sold.
The three factories have the following production space:
2 3
Factory:
Production space (ft2): 13000 12000 5000
1
(a) Identify variables for the optimization problem
(b) Write down the objective function
(c) Write down the constraints for production space
(d) Write down the constraints for market demand.
(e) Write down any other constraints needed to complete the optimization problem](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64203a85-05ec-4436-b6c7-3901ff6417e6%2Fee1fa35d-2f0f-4ab9-9846-fcf41309849b%2F4c6f3cd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A certain computer company produces three kinds of computers, labelled A, B and C. This
computer company has three factories, labelled 1, 2 and 3. The profit for each computer,
the in-process space needed to produce each computer, and the market demand per day is
indicated below:
A B C
350 550 300
Product:
Profit ($):
In-process space (ft2): 20
Market demand/ day: 900 1200 750
15
10
As long as the number of computers produced are not more than the market demand, they
will be sold.
The three factories have the following production space:
2 3
Factory:
Production space (ft2): 13000 12000 5000
1
(a) Identify variables for the optimization problem
(b) Write down the objective function
(c) Write down the constraints for production space
(d) Write down the constraints for market demand.
(e) Write down any other constraints needed to complete the optimization problem
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