A firm makes two types of furniture: chairs and tables. The contribution for each product as calculated by the accounting department is Rs. 20 per chair and Rs. 30 per table. Both products are processed on three machines M1, M2 and M3. The time required by each product and total time available per week on each machine are as follows: How should the manufacturer schedule his production in order to maximize contribution?
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Manufacturer used M2 for maximized contribution.
For M1 -
Total chairs possible in one week
= 36/3 = 12
Total tables possible in one week
= 36/3 = 12
Total profit per week
= 12 × 20 + 12 × 30
= 240 + 360
=Rs.600
For M2 -
Total chairs possible in one week
= 50/5 = 10
Total tables possible in one week
= 50/2 =25
Total profit per week
= 10 × 20 + 25 × 30
= 200 + 750
= Rs.950
For M 3 -
Total chairs possible in one week
= 60/2 = 30
Total table possible in one week
= 60/6 = 10
Total profit per week
= 30 × 20 + 10 × 30
= 600 + 300
= Rs.900
Therefore, manufacturer used M2 for maximized contribution.
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