per hour.

The standard processing rate for TiniTotes is $3$ hours in fabrication, $2h_{0\text{u}\text{r}\text{s}}$ in sewing, and $1$ hour in assembly. TubbyTotes require $4$ hours in fabrication hour in sewing and $3$ hours in assembly, whereas ToddleTotes require $2h_{0\text{u}\text{r}\text{s}}$ in each station.

The Excel layout and LP Sensitivity Report for Strollers$-$to$-$Go's problem are shown in Figure $4\mathrm{.}30$ and Figure $4\mathrm{.}31,$ respectively. Each of the following questions is independent of the others.

a$)$ How many strollers of each type should Strollers$-$to$-$Go make? What is the profit? Which constraints are binding?

$($b$)$ How much labor time is being used in the fabrication, sewing, and assembly areas?

$($c$)$ How much would Strollers$-$to$-$Go be willing to pay for an additional hour of fabrication time? For an additional hour of sewing time?

$($d$)$ Is Strollers$-$to$-$Go producing any product at its maximum sales level? Is it producing any product at its minimum level?

Source: Professors Mark and Judith McKnew, Clemson University.

$4-25.$ Consider the Strollers$-$to$-$Go production problem $($Problem $4-24).$

$($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?