Answer the following questions..

A manufacturer produces 8000 CD players on a continuous production line every month. Each player requires a laser pickup assembly and these are produced very quickly in batches. It costs $12,000 to set up the machinery to produce a batch and 30p a month to store and insure a unit once made. a) How large should the batch size be to minimize total costs? b) How often will they have to set up a production run?Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for each constraint: Maximize profit = 4X + 4Y Subject to 3X + 5Y