Q6. A chemical company is engaged in producing three different products A, B, C. The products are produced at company's two different facilities having different production capacities. In a normal 8 hr working day, plant 1 produces 100, 200 and 200 kgs of products A, B, C. Plant 2 produces 120, 120 and 400 kgs of A, B, C respectively. The daily cost of production for plant 1 and 2 is Rs. 5000 and Rs. 7000 respectively. It is assumed that not more than 1000 kgs of A, atleast 2000 kgs of B and atleast 1500 kgs of C must be produced by two plants. Find the minimum number of days of operation at two different plants to minimize the total cost while meeting the demand.
Q6. A chemical company is engaged in producing three different products A, B, C. The products are produced at company's two different facilities having different production capacities. In a normal 8 hr working day, plant 1 produces 100, 200 and 200 kgs of products A, B, C. Plant 2 produces 120, 120 and 400 kgs of A, B, C respectively. The daily cost of production for plant 1 and 2 is Rs. 5000 and Rs. 7000 respectively. It is assumed that not more than 1000 kgs of A, atleast 2000 kgs of B and atleast 1500 kgs of C must be produced by two plants. Find the minimum number of days of operation at two different plants to minimize the total cost while meeting the demand.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Transcribed Image Text:Q6. A chemical company is engaged in producing three different products A, B, C. The products are
produced at company's two different facilities having different production capacities. In a normal 8 hr
working day, plant 1 produces 100, 200 and 200 kgs of products A, B, C. Plant 2 produces 120, 120
and 400 kgs of A, B, C respectively. The daily cost of production for plant 1 and 2 is Rs. 5000 and Rs.
7000 respectively. It is assumed that not more than 1000 kgs of A, atleast 2000 kgs of B and atleast
1500 kgs of C must be produced by two plants. Find the minimum number of days of operation at two
different plants to minimize the total cost while meeting the demand.
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