Solve Problem #$1($Page $170).$ Note: it's not the question #$1,$ it's the problem #$1$ with numerical data and has two parts a$)$ & b$).$

As part of a lean initiative, a manufacturer has reduced the setup cost for machining a component from $$200$ to $$12\mathrm{.}5.$ As a result, the new economic lot size is $10$ units.

a$.$The former economic lot size had been much larger. What was it$?($Hint: Look at EOQ in Chapter $5,$ Small Lot Production.$)$

b$.$If the goal is to reduce the economic lot size to one unit, what must the setup cost be reduced to$?$