A grocery store is reevaluating the retail price of their oranges. They have a contract where they can purchase oranges for $$0\mathrm{.}52$ per pound. However, this includes high quality oranges $($about $40\%$ of the time$),$ low quality oranges $(55\%),$ and occasionally rotten fruit $(5\%).$ Suppose they sell $80\%$ of all high quality oranges at $$1\mathrm{.}99$ per pound, $65\%$ of all low quality oranges at $$1\mathrm{.}49$ per pound $($they offer a sale$),$ and they cannot sell any of the rotten fruit.

What is the store's expected profit from a random shipment of $500$ pounds of oranges? We do not consider personnel and other overhead costs, only the wholesale cost of the oranges. $($Give your answer as a number, no dollar sign included.$)$