A company manufactures three types of leather belts, namely A, B and C. The unit profits from these three varieties are 10, 5 and 7 respectively Leather is sufficient for only 800 belts per day (all types together) Belt A requires thrice the time of belt B and belt C requires twice the time of B. If all the belts of type B are produced, a maximum of 1,000 belts per day can be produced. Belt A requires a fancy buckle and 150 such buckles per day are available. There are sufficient number of buckles for the other varieties. Determine using simplex method, how many belts of each type be produced to maximize the total profit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A company manufactures three types of leather belts, namely A B and C. The unit profits from these
three varieties are 10, 5 and 7 respectivel Leather is sufficient for only S00 belts per day (all types
together) Belt A requires thrice the time of belt B and belt C requires twice the time of B. If all the belts
of type B are produced, a maximum of 1,000 belts per day can be produced. Belt A requires a fancy
buckle and 150 such buckles per day are availlable. There are sufficient number of buckles for the other
varieties.
Determine using simplex method, how many belts of each type be produced to maximize the total profit.
Transcribed Image Text:A company manufactures three types of leather belts, namely A B and C. The unit profits from these three varieties are 10, 5 and 7 respectivel Leather is sufficient for only S00 belts per day (all types together) Belt A requires thrice the time of belt B and belt C requires twice the time of B. If all the belts of type B are produced, a maximum of 1,000 belts per day can be produced. Belt A requires a fancy buckle and 150 such buckles per day are availlable. There are sufficient number of buckles for the other varieties. Determine using simplex method, how many belts of each type be produced to maximize the total profit.
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