(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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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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
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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