(d) A company has three factories. Each factory produces three different products (A, Band C). Factory 1 has a daily production capacity production of 8 units of A, 4 units of Band 8 units of C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C. Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The total demand for product A is 300 units, for product B is 172 units and for product C is 250 units. The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 is $50. How many days should each factory be operated in order to fill the total demand and the keep the operating cost at a minimum? () Show a model that represents the company's problem. Write down the dual maximization problem.
(d) A company has three factories. Each factory produces three different products (A, Band C). Factory 1 has a daily production capacity production of 8 units of A, 4 units of Band 8 units of C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C. Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The total demand for product A is 300 units, for product B is 172 units and for product C is 250 units. The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 is $50. How many days should each factory be operated in order to fill the total demand and the keep the operating cost at a minimum? () Show a model that represents the company's problem. Write down the dual maximization problem.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
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(d) A company has three factories. Each factory produces three different products (A, B and C).
v1 has a daily production capacity production of 8 units of A, 4 units of B and 8 units
of C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C.
Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The total
demand for product A is 300 units, for product B is 172 units and for product C is 250 units.
The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 is $50.
How many days should each factory be operated in order to fill the total demand and the
keep the operating cost at a minimum?
0 Show a model that represents the company's problem.
(i) Write down the dual maximization problem.
Cancel
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1156176b-12b4-47e3-a392-25418b6d8ae5%2F590ffdbd-c031-4ee6-b5fa-2b0ec08f11be%2Fsdso0jb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:RESET
(d) A company has three factories. Each factory produces three different products (A, B and C).
v1 has a daily production capacity production of 8 units of A, 4 units of B and 8 units
of C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C.
Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The total
demand for product A is 300 units, for product B is 172 units and for product C is 250 units.
The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 is $50.
How many days should each factory be operated in order to fill the total demand and the
keep the operating cost at a minimum?
0 Show a model that represents the company's problem.
(i) Write down the dual maximization problem.
Cancel
Done
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