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.
Stage Average Percentage Good Quality
1 ................................... 87%
2 .............. 91%
3 ........... 94%
4 ............ 93%
5 ............ 93%
6 ........... 96%
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?