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{"ops":[{"attributes":{"bold":true},"insert":"1.\u00a0\u00a0\u00a0\u00a0\u00a0JOY leather"},{"insert":", a manufacturer of leather Products, makes three types of belts A, B and C which are processed on three machines M"},{"attributes":{"script":"sub"},"insert":"1"},{"insert":", M"},{"attributes":{"script":"sub"},"insert":"2"},{"insert":" and M"},{"attributes":{"script":"sub"},"insert":"3"},{"insert":". Belt A requires 2 hours on machine (M"},{"attributes":{"script":"sub"},"insert":"1)"},{"insert":" and 3 hours on machine (M"},{"attributes":{"script":"sub"},"insert":"2)"},{"insert":" and 2 hours on machine (M"},{"attributes":{"script":"sub"},"insert":"3"},{"insert":"). Belt B requires 3 hours on machine (M"},{"attributes":{"script":"sub"},"insert":"1)"},{"insert":", 2 hours on machine (M"},{"attributes":{"script":"sub"},"insert":"2)"},{"insert":" and 2 hour on machine (M"},{"attributes":{"script":"sub"},"insert":"3)"},{"insert":" and Belt C requires 5 hours on machine (M"},{"attributes":{"script":"sub"},"insert":"2) "},{"insert":"and 4 hours on machine (M"},{"attributes":{"script":"sub"},"insert":"3)"},{"insert":". There are 8 hours of time per day available on machine M"},{"attributes":{"script":"sub"},"insert":"1"},{"insert":", 10 hours of time per day available on machine M"},{"attributes":{"script":"sub"},"insert":"2"},{"insert":" and 15 hours of time per day available on machine M"},{"attributes":{"script":"sub"},"insert":"3"},{"insert":". 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?\n"},{"attributes":{"bold":true},"insert":"a)\u00a0\u00a0\u00a0\u00a0\u00a0"},{"insert":"Formulate the problem as LPM\n"},{"attributes":{"bold":true},"insert":"b)\u00a0\u00a0\u00a0\u00a0"},{"insert":"Solve the LPM using simplex algorithm.\n"},{"attributes":{"bold":true},"insert":"c)\u00a0\u00a0\u00a0\u00a0\u00a0"},{"insert":"Interpret the shadow prices\n\n"}]}

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