A company makes two products (X and Y) using two machines (A and B). Each unit of X that is produced requires 40 minutes processing time on machine A and 20 minutes processing time on machine B. Each unit of Y that is produced requires18 minutes processing time on machine A and 24 minutes processing time on machine B. At the start of the current week there are 40 units of X and 100 units of Y in stock. Available processing time on machine A is forecast to be 50 hours and on machine B is forecast to be 45 hours. The demand for X in the current week is forecast to be 75 units and for Y is forecast to be 95 units. Company policy is to maximize the combined sum of the units of X and the units of Y in stock at the end of the week. REQUIRED a) Formulate the problem of deciding how much of each product to make in the current week as a linear program. [5 Marks] b) Solve this linear program graphically. [10 Marks].