Knott's Industries manufactures standard and super premium backyard swing sets. Currently it has four identical swing-set making machines, which are operated 225 days per year and 8 hours each day. A capacity cushion of 20 percent is desired. The following information is also known: \begin{tabular}{|l|c|c|} \hline & Standard Model & Super Premium Model \\ \hline Annual Demand & 20,000 & 10,000 \\ Standard Processing Time & 10 min & 17 min \\ Average Lot Size & 45 & 30 \\ Standard Setup Time per Lot & 30 min & 45 min \\ \hline \end{tabular} a. Does Knott's have sufficient capacity to meet annual demand? Knott's \boxed{ } have sufficient capacity to meet annual demand because \boxed{ } machines are needed. (Enter your response rounded up to the next whole number) 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 \boxed{ } be enough capacity to produce 20,000 units of each type of swing set because \boxed{ }
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