Star Coffee Company produces Colombian Coffee in batches of $5,000$ pounds. The standard quantity of materials required in the process are $5,000$ pounds, which cost $$5\mathrm{.}00$ per pound. Colombian coffee can be sold without further process for $$8\mathrm{.}40$ per pound. Colombian coffee can also be processed further to yield Decaf Colombian which can be sold for $$9\mathrm{.}60$ per pound. The processing into Decaf Colombian requires additional processing costs of $$8,420$ per batch. The additional processing will also cause a $5\%$ loss of product due to evaporation.

Prepare a differential analysis report for the decision to sell or process further.

Should Star sell Colombian coffee or process further and sell Decaf Colombian?