QUESTION 1 A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 labour hours for fabricating and 1 2 labour hour for finishing. Each piece of Model B requires 12.3 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of R8000 on each piece of model A and R12000 on each piece of Model B. How many pieces of Model A and Model B should be manufactured per week to realise a maximum profit? Let x be the number of model A manufactured and let y be the number of model B manufactured. Fill in the missing information below by filling in the values obtained using Excel: Variables X - 3 decimal places Objective: Constraints: Labour constraint: Finishing constraint: How many of model A should be produced? How many of model B should be produced? Based on this allocation how much profit will the company make? R