6. 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.

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2.6. 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?

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