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Example 2 (cont'd) Find: a. the weekly production that will maximise contribution and calculate this resulting contribution; b. the weekly production that minimises contribution and calculate the resulting contribution and calculate this resulting contribution. C. the percentage utilisation of the available labour for both minimum and maximum contribution. time that a equipment is in use/ total time (N.B utilisation rate that it could be in use). -

Example 2 (cont'd) Find: a. the weekly production that will maximise contribution and calculate this resulting contribution; b. the weekly production that minimises contribution and calculate the resulting contribution and calculate this resulting contribution. C. the percentage utilisation of the available labour for both minimum and maximum contribution. time that a equipment is in use/ total time (N.B utilisation rate that it could be in use). -

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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Quantative Methods II 

LINEAR PROGRAMMING Example 2 A production line can be set up to produce either product X or product Y. The following table gives the breakdown for each product. Product A B Labour (minutes) 30 15 Materials (lbs) 2 4 Testing minutes 3 4 In any one week only 30 hours of labour and 280 lbs or material is available, and owing to cost and availability, the testing equipment must be used for at least 4 hours. Also, because of existing orders, at least 20 A products must be produced. The contribution from each unit of A produced is $12 and each unit of B is $9.
Transcribed Image Text:LINEAR PROGRAMMING Example 2 A production line can be set up to produce either product X or product Y. The following table gives the breakdown for each product. Product A B Labour (minutes) 30 15 Materials (lbs) 2 4 Testing minutes 3 4 In any one week only 30 hours of labour and 280 lbs or material is available, and owing to cost and availability, the testing equipment must be used for at least 4 hours. Also, because of existing orders, at least 20 A products must be produced. The contribution from each unit of A produced is $12 and each unit of B is $9.
Example 2 (cont'd) Find: LINEAR PROGRAMMING a. the weekly production that will maximise contribution and calculate this resulting contribution; b. the weekly production that minimises contribution and calculate the resulting contribution and calculate this resulting contribution. the percentage utilisation of the available labour for both minimum and maximum contribution. C. (N.B utilisation rate = time that a equipment is in use/ total time that it could be in use).
Transcribed Image Text:Example 2 (cont'd) Find: LINEAR PROGRAMMING a. the weekly production that will maximise contribution and calculate this resulting contribution; b. the weekly production that minimises contribution and calculate the resulting contribution and calculate this resulting contribution. the percentage utilisation of the available labour for both minimum and maximum contribution. C. (N.B utilisation rate = time that a equipment is in use/ total time that it could be in use).
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