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Example 12.7. A company making cold drinks has two bottling plants located at towns T, and T. Each plant produces three drinks A, B and C and their production capacity per day is shown below : Plant at Cold drinks T, T, A 6,000 2,000 1,000 2,500 3,000 3,000 The marketing department of the company forecasts a demand of 80,000 bottles of A, 22,000 bottles of B and 40,000 bottles of C during the month of June. The operating costs per day of plants at T, and T, are Rs. 6000 and Rs. 4000-respectively. Find (graphically) the number of days for which each plant must be run in June so as to minimize the operating costs while meeting the market demand.

Example 12.7. A company making cold drinks has two bottling plants located at towns T, and T. Each plant produces three drinks A, B and C and their production capacity per day is shown below : Plant at Cold drinks T, T, A 6,000 2,000 1,000 2,500 3,000 3,000 The marketing department of the company forecasts a demand of 80,000 bottles of A, 22,000 bottles of B and 40,000 bottles of C during the month of June. The operating costs per day of plants at T, and T, are Rs. 6000 and Rs. 4000-respectively. Find (graphically) the number of days for which each plant must be run in June so as to minimize the operating costs while meeting the market demand.

Advanced Engineering Mathematics
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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Example 12.7. A company making cold drinks has two bottling plants located at towns T, and T,. Each plant produces three drinks A, B and C and their production capacity per day is shown below : Plant at Cold drinks T, T, A 6,000 2,000 B 1,000 2,500 3,000 3,000 The marketing department of the company forecasts a demand of 80,000 bottles of A, 22,000 bottles of B and 40,000 bottles of C during the month of June. The operating costs per day of plants at T, and T, are Rs. 6000 and Rs. 4000-respectively. Find (graphically) the number of days for which each plant must be run in June so as to minimize the operating costs while meeting the market demand.
Transcribed Image Text:Example 12.7. A company making cold drinks has two bottling plants located at towns T, and T,. Each plant produces three drinks A, B and C and their production capacity per day is shown below : Plant at Cold drinks T, T, A 6,000 2,000 B 1,000 2,500 3,000 3,000 The marketing department of the company forecasts a demand of 80,000 bottles of A, 22,000 bottles of B and 40,000 bottles of C during the month of June. The operating costs per day of plants at T, and T, are Rs. 6000 and Rs. 4000-respectively. Find (graphically) the number of days for which each plant must be run in June so as to minimize the operating costs while meeting the market demand.
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