A company produces three products X, Y and Z, and each can be produced on Machine M1, and Machine 2. The sale price, and production time required for X, Y, and Z on each machine is given in table

2. A company produces three products X, Y and Z, and each can be produced on Machine M1, and Machine 2. The sale price, and production time required for X, Y, and Z on each machine is given in table below: > Products Sale price / unit Y Z Time taken on Machine M1 8 min 7 min 6 min Time taken on Machine M2 5 min 6 min 4 min $ 30 $ 50 $ 35 For production, machine M1 and M2 are available for 60, and 50 hours respectively. The past data showed that product Z is not sold more than 300 units, whereas product X and Y always crossed 500, and 600 units respectively of sales level. Based on the information given above, formulate the linear programming problem in the form of; Objective function (3 marks) Constraints (11 marks)