2. (20 points) Maple Electronics produces a special camera for smart phones. The cameras are produced at a rate of 50,000 per day and shipped out at a rate of 30,000 per day (assume there are 365 days per year). The cameras are produced in batches. Each camera costs the company 30 dollars, and the holding costs are based on a 25 percent annual interest rate. Shortages are not permitted. Each production run of the cameras requires re-calibration of the equipment. The company estimates that this step costs $1,000. (a) Find the optimal sizes of each production run and the time between runs. (b) What fraction of the time is the company producing the camera? (c) What is the maximum inventory level of the camera? (d) If the plant manager at Maple Electronics decides to run the production in a batch of 50,000 cameras, what is the total cost increase, in terms of production setup and inventory holding cost, comparing with the optimal production lot size