$1$:Expenses for a Pizza restaurant include raw material for pizza at $$4\mathrm{.}00$ per slice, $$107\mathrm{.}00$ as monthly rental and $$45\mathrm{.}00$ monthly as insurance. Lost sale expense is considered to be $$4\mathrm{.}00$ per unhappy customer. Leftover Pizza can be sold for $$3.$ The restaurant is open $25$ days in a month.

Today the restaurant prepared $200\mathrm{.}00$ pizza slices and sells them for $$14\mathrm{.}00/$slice$.$ There was a party at a nearby office so the demand for pizza went up to $223\mathrm{.}00$ slices. How much profit did the restaurant earn today?

$2$:You run a school in Florida. Fixed monthly cost is $$5,038\mathrm{.}00$ for rent and utilities, $$6,347\mathrm{.}00$ is spent in salaries and $$1,064\mathrm{.}00$ in insurance. Also every student adds up to $$100\mathrm{.}00$ per month in stationary, food etc. You charge $$671\mathrm{.}00$ per month from every student now.

You are considering moving the school to another neighborhood where the rent and utilities will increase to $$11,775\mathrm{.}00,$ salaries to $$6,719\mathrm{.}00$ and insurance to $$2,433\mathrm{.}00$ per month. Variable cost per student will increase up to $$151\mathrm{.}00$ per month. However you can charge $$1,078\mathrm{.}00$ per student. At what point will you be indifferent between your current mode of operation and the new option?