1.JOY leather, a manufacturer of leather Products, makes three types of belts A, B and C which are processed on three machines M₁, M₂ and M₃. Belt A requires 2 hours on machine (M₁₎ and 3 hours on machine (M₂₎ and 2 hours on machine (M₃). Belt B requires 3 hours on machine (M₁₎, 2 hours on machine (M₂₎ and 2 hours on machine (M₃₎ and Belt C requires 5 hours on machine (M₂₎ and 4 hours on machine (M₃₎. There are 8 hours of time per day available on machine M₁, 10 hours of time per day available on machine M₂ and 15 hours of time per day available on machine M₃. 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?

a)Formulate the problem as LPM

b)Solve the LPM using simplex algorithm.

c)Interpret the shadow prices