Stew$$s Plastics produces a variety of CD cases. The best$-$selling product is the CD$-50.$ Several products are produced on the same manufacturing line, so there is a setup cost each time a changeover is made for a new product. The setup cost for the CD$-50$ is $$3832.$ In addition, it costs $$2\mathrm{.}13$ for each unit $($CD Case$)$ produced, and for each $100$ CD Cases they have to put them in a box that costs $$3\mathrm{.}55.$ If there is less than $100$ CD Cases, they will still need to put them in a box $($in other words, if they had $102$ CD Cases, they would do $2$ boxes, one with $100$ CD Cases and one with $2$ CD Cases$).$

What is the break$-$even point in terms of number of CD cases $($rounded UP to the nearest integer$)$ if they sell them for $$7\mathrm{.}25$ each?