Consider the Strollers$-$to$-$Go production problem $($Problem $424).($a$)$ Over what range of costs could the TiniTote materials vary and the current production plan remain optimal? $($Hint: How are material costs reflected in the problem formulation?$)($b$)$ Suppose that Strollers$-$to$-$Go decided to polish each stroller prior to shipping. The process is fast and would require $10,15,$ and $12$ minutes, respectively, for TiniTote, TubbyTote, and ToddleTote strollers. Would this change the current production plan if $48$ hours of polishing time were available?

Balakrishnan, Nagraj $($Raju$)$; Render, Barry; Stair, Ralph; Munson, Charles. Managerial Decision Modeling: Business Analytics with Spreadsheets, Fourth Edition $($p$.230).$ De Gruyter. Kindle Edition.