Question

A production process consists of a three-step operation. The scrap
rate is 18 percent for the first step and 9 percent for the other
two steps.

**
a.**If the desired daily output is 453 units, how many units
must be started to allow for loss due to scrap? **
(Do not round intermediate calculations. Round up your final answer
to the next whole number.)**

Number of units

**
b.**If the scrap rate for each step could be cut in half at
every operation, how many units would this save in terms of the
scrap allowance? **
(Do not round intermediate calculations. Round up your final answer
to the next whole number.)**

Number of units

**
c.**If
the scrap represents a cost of $10 per unit, how much is it costing
the company per day for the original scrap rate (i.e. the Part a
scrap rate)? **
(Round your final answer to the nearest whole number. Omit the "$"
sign in your response.)**

Cost $

Answer #1

1000 x (100% - 18%) = 820 units after the first step

820 x (100% - 9%) = 746 units after the second step

746 x (100% - 9%) = 678 units after the third step

a.

453 x (1000 / 678) = 668 units to start with

b.

Start with another 1000 units:

1000 x (100% - 9%) = 910 units after the first step

910 x (100% - 4.5%) = 869 units after the second step

869 x (100% - 4.5%) = 829 units after the third step

453 x (1000 / 829) = 546 units to start with under the improved
procedure

668 - 546 = 122 units saved

c.

(668 - 453) units x $10 = $ 2150daily cost in scrapped units

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