Question $3$

In order to meet holiday demand, Penny's Pie Shop needs to balance its production line. Penny's Pie Shop operates only $40$ hours per week. There are only $4$ sequential steps required to produce a single pecan pie with respective processing times of $\backslash (5\backslash$mathrm$\{$~min$\},5\backslash$mathrm$\{$~min$\}\backslash ),45$ min $,$ and $15$ min $.$ To improve throughput, Penny hires Tommy so that while Penny completes the first two steps, Tommy can work on the remaining steps. How many pies can the line produce each week when Penny and Tommy work together? $($Enter your response rounded to the nearest whole number.$)$