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 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? (i)Use the simplex method to determine the optimal tableau, Ensure that you explain each step in the computation. (ii)Identify the basic and non-basic variables and identify the optimal solution.
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 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? (i)Use the simplex method to determine the optimal tableau, Ensure that you explain each step in the computation. (ii)Identify the basic and non-basic variables and identify the optimal solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 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?
(i)Use the simplex method to determine the optimal tableau, Ensure that you explain
each step in the computation.
(ii)Identify the basic and non-basic variables and identify the optimal solution.
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