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?