The Colonial House Furniture Company manufactures four-drawer oak filing cabinets in six stages. In the first stage the boards forming the walls of the cabinet are cut; in the second stage the front drawer panels are woodworked; in the third stage the boards are sanded and finished; in the fourth stage the boards are cleaned stained and painted with a clear finish; in the fifth stage the hardware for pulls runners and fittings is installed; and in the final stage the cabinets are assembled. Inspection occurs at each stage of the process and the average percentages of good-quality units are as follows. StageAverage Percentage Good Quality187%291%394%493%593%696%The cabinets are produced in weekly production runs with a product input for 300 units.a. Determine the weekly product yield of good-quality cabinets.b. What would weekly product input have to be in order to achieve a final weekly product yield of 300 cabinets?