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PRODUCTION AND OPERATIOM MANAGEMENT

SUBMITTED FOR:
Sheikh Kumrul Hassan
Assistant Professor, School of Business
Royal University of Dhaka


SUBMITTED BY :
Amit Kumar Sarker
ID: 0903185162
Batch : 18th
Programe : BBA
Royal University of Dhaka


Date of Submission : 13 APRIL, 2012
Solution :




 Probability   (100歎15)   (100歎20)   (100歎25)   (100歎30)   (100歎10)
                 = .15     = .20       = .25      = .30      = .10

  Demand         500        550        600        650        700




  NO. OF        500       550        600         650         700
 TREE CUT

     500       7500       6750       6000       5250        4500

     550       7250       8250       7500       6750        6000

     600       7000       8000       9000       8250        7500

     650       6750       7750       8750       9750        9000

     700       6500       7500       8500       9500        10500
Expected profit for 500 tree cut.

Profit ( 500 ) = 7500  .15 + 6700  .20 + 6000  .25 + 5200  .30 + 4500  .10

            = 6000



Expected profit for 550 tree cut.

Profit ( 550 ) = 7250 .15 + 8250  .20 + 7500  .25 + 6750  .30 + 6000  .10

            = 7238



Expected profit for 600 tree cut.

Profit( 600 ) = 7000  .15 + 8000  .20 + 9000  .25 + 8250  .30 + 7500  .10

           = 8125

Expected profit for 650 tree cut.

Profit ( 650 ) = 6750  .15 + 7750  .20 + 8750  .25 + 9750  .30 + 9000  .10

           = 8575

Expected profit 700 tree cut.

Profit ( 700 ) = 6500  .15 + 7500  .20 + 8500  .25 + 9500  .30 + 10500  .10

           = 8500



So I have to cut 650 trees to make optimum profit.

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  • 1. PRODUCTION AND OPERATIOM MANAGEMENT SUBMITTED FOR: Sheikh Kumrul Hassan Assistant Professor, School of Business Royal University of Dhaka SUBMITTED BY : Amit Kumar Sarker ID: 0903185162 Batch : 18th Programe : BBA Royal University of Dhaka Date of Submission : 13 APRIL, 2012
  • 2. Solution : Probability (100歎15) (100歎20) (100歎25) (100歎30) (100歎10) = .15 = .20 = .25 = .30 = .10 Demand 500 550 600 650 700 NO. OF 500 550 600 650 700 TREE CUT 500 7500 6750 6000 5250 4500 550 7250 8250 7500 6750 6000 600 7000 8000 9000 8250 7500 650 6750 7750 8750 9750 9000 700 6500 7500 8500 9500 10500
  • 3. Expected profit for 500 tree cut. Profit ( 500 ) = 7500 .15 + 6700 .20 + 6000 .25 + 5200 .30 + 4500 .10 = 6000 Expected profit for 550 tree cut. Profit ( 550 ) = 7250 .15 + 8250 .20 + 7500 .25 + 6750 .30 + 6000 .10 = 7238 Expected profit for 600 tree cut. Profit( 600 ) = 7000 .15 + 8000 .20 + 9000 .25 + 8250 .30 + 7500 .10 = 8125 Expected profit for 650 tree cut. Profit ( 650 ) = 6750 .15 + 7750 .20 + 8750 .25 + 9750 .30 + 9000 .10 = 8575 Expected profit 700 tree cut. Profit ( 700 ) = 6500 .15 + 7500 .20 + 8500 .25 + 9500 .30 + 10500 .10 = 8500 So I have to cut 650 trees to make optimum profit.