A production process consists of a three$-$step operation. The scrap rate is $10$ percent for the first step and $11$ percent for the other two steps.

If the desired daily output is $471$ units, how many units must be started to allow for loss due to scrap? A production process consists of a three$-$step operation. The scrap rate is $10$ percent for the first step and $11$ percent for the other two

steps.

a$.$ If the desired daily output is $471$ units, how many units must be started to allow for loss due to scrap?

Note: 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?

Note: 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$)?$

Note: Round your final answer to the nearest whole number.