Exercise 4 25 marks A company produces heaters of two types called S and L The wholesale price is 40 per heater S and 88 per heater L Two time constraints result from the use of two machines A and B On machine A one needs 2 minutes for a heater S and 8 minutes for a heater L On machine B one needs 5 minutes for a heater S and 2 minutes for a heater L How many heaters of each type should one produce per hour to optimise the hourly income and what is the maximal hourly income Recall that there are 60 minutes in an hour Formulate this problem as a linear programming problem and solve it using graphical methods