The Backwoods American company operates a telephone

order system for a catalogue of its outdoor clothing prod-
ucts. The catalogue orders are processed in three stages. In

the first stage, the telephone operator enters the order into
the computer; in the second stage, the items are secured

and batched in the warehouse; and in the final stage, the or-
dered products are packaged. Errors can be made in orders

at any of these stages, and the average percentage of errors
that occurs at each stage are as follows.

If an average of 320 telephone orders are processed each
day, how many errorless orders will result?

Error-less orders = 249 products

Explanation:

Note:

Some data is missing in the question, which is given as follows:

Stage  = 1

%Error = 12%

Stage = 2

%Error = 8%

Stage = 3

%Error = 4%

Step 1:

Find the percentage of error-less products at stage 1:

100% - 12% = 88% of the products will be error-less

Step 2:

Find the percentage of error-less products at stage 2:

100% - 8% = 92% of the products will be error-less.

Step 3:

Find the percentage of error-less products at stage 3:

100% - 4% = 96% of the products will be error-less.

Step 4:

Finding the percentage of over-all product orders:

Multiplying the three percentages determined in the stages 1, 2 and 3

Percentage of over-all error-less product orders = 88% × 92% × 96% = 77.72%

Step 5:

Determine the over-all error-less products by multiplying it with the percentage found in step 4 = 77.72%

Multiply it with the number of products = 320 products

Number of error-less products = 320 products × 77.72% = 248.7 products = 249 products (answer).

The number of error-less products = 249 products.