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Manufacturing problems

Example 8
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Ex 12.2, 3 Important Deleted for CBSE Board 2023 Exams

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Ex 12.2, 5 Deleted for CBSE Board 2023 Exams

Ex 12.2, 6 Deleted for CBSE Board 2023 Exams

Ex 12.2, 7 Important Deleted for CBSE Board 2023 Exams

Misc 4 Important Deleted for CBSE Board 2023 Exams

Misc 10 Important Deleted for CBSE Board 2023 Exams

Example 10 Deleted for CBSE Board 2023 Exams You are here

Last updated at Dec. 12, 2016 by Teachoo

Example 10 (Manufacturing problem) A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table: Let the number of items of type M be x, & the number of items of type N by y According to Question : Now, Profit on Type M → Rs 600 Profit on Type N → Rs 400 Hence, Z = 600x + 400 y Combining all constraints : Max Z = 600x + 400y Subject to constraints, x + 2y ≤ 12 2x + y ≤ 12 x + 1.5 y ≤ 5 x ≥ 0 , y ≥ 0