Knott's Industries manufactures standard and super premium backyard swing sets. Currently it has four identical$$ swing$-$set$-$making machines, which are operated $300$ days per year and $8$ hours each day. A capacity cushion of $20$ percent is desired. The following information is also$$ known:

Standard Model Super Premium Model

Annual Demand $20,00010,000$

Standard Processing Time $5$ min $20$ min

Average Lot Size $5530$

Standard Setup Time per Lot $30$ min $45$ min

a$.$ Does$$ Knott's have sufficient capacity to meet annual$$ demand?

$$Knott$\text{'}$s

$$

does

does not

have sufficient capacity to meet annual demand because $$enter your response here machines are needed. $($Enter your response rounded up to the next whole number.$)$

Part $3$

b$.$ If$$ Knott's was able to reduce the setup time for the Super Premium Model from $45$ minutes to $30$ minutes, would there be enough current capacity to produce$20,000$ units of each type of swing$$ set?

If$$ Knott's was able to reduce the setup time for the Super Premium Model from $45$ minutes to $30$ minutes, there

$$

would not

would

be enough capacity to produce$20,000$ units of each type of swing set because $$enter your response here machines are needed. $($Enter your response rounded up to the next whole number.$)$