Question

Your school is getting custom mascot t-shirts made for homecoming this year. There is an initial charge of $15 to create the silkscreen. For orders of 50 or fewer shirts, it will cost $19.00 per shirt. For an order of more than 50 but less than 100, the cost is $16.30 per shirt. For orders between 100 and 149, the cost per shirt is $13.40. If you order 150 shirts or more, the cost per shirt is $11.10.



Write a piecewise function that gives the cost C for an order of s shirts.
If you order 700 shirts for Homecoming, how much would you need to sell the shirts for in order to break even

Answer 1

The function is given by

$\\ \sf\longmapsto f(n)=\begin{cases}\sf 15n,n=1\\ \sf 19n,n\leqslant 50\\ \sf 16.30n,50<n<100\\ \sf 13.40n,100<n<149\\ \sf 11.10n,n\geqslant 150\end{cases}$

• n=number of shirts

Now for 700 shirts n=700

$\\ \sf\longmapsto f(700)=11.10(700)=7770$