Break Even Problems

Goal Seek

# of CD cases produced

Q$1(5$ points$)$

is the

variab

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 $$$5060.$ In addition, it costs $$1\mathrm{.}78$ for each unit $($CD Case$)$ produced; and for each $100CD$ Cases they have to put them in a box that costs $$2\mathrm{.}63.$ 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 $$6\mathrm{.}00$ each?