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1.     JOY leather231)2)31)2)3)2) 3)123a)     b)    c) a manufacturer of leather Products, makes three types of belts A, B and C which are processed on three machines M₁, M and M. Belt A requires 2 hours on machine (M and 3 hours on machine (M and 2 hours on machine (M). Belt B requires 3 hours on machine (M, 2 hours on machine (M and 2 hour on machine (M and Belt C requires 5 hours on machine (Mand 4 hours on machine (M. There are 8 hours of time per day available on machine M, 10 hours of time per day available on machine M and 15 hours of time per day available on machine M. The profit gained from belt A is birr 3.00 per unit, from Belt B is birr 5.00 per unit, from belt C is birr 4.00 per unit. What should be the daily production of each type of belt so that the profit is maximum?

Formulate the problem as LPM

Solve the LPM using simplex algorithm.

Interpret the shadow prices