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A manufacturer produces two products A and B. Both the products areprocessed on two different machines. The available capacity of first machineis 12 hours and that of second machine is 9 hours per day. Each unit ofproduct A requires 3 hours on both machines and each unit of product Brequires 2 hours on first machine and 1 hour on second machine. Each unit ofproduct A is sold at Rs. 7 profit and that of B at a profit of Rs. 4. Find the production levelper day for maximum profit graphically. |
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Answer» Product A=3(M-I)+3(M-II) Product B=2(M-I)+1(M-II) Profit=(7x+4y) Total time on machine I used =3x+2y 3x+2y`<=`12 Total time on machine II used=3x+y 3x+y`<=`9 A`->`Profit=7*3+4*0=21 B`->`Profit=7*2+4*3=14+12=26 C`->`Profit=7*0+4*6=24 Maximum profit is at point B. |
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