Special Order, Traditional Analysis

Florello Company manufactures two types of cold$-$pressed olive oil, Refined Oil and Top Quality Oil, out of a joint process. The joint $($common$)$ costs incurred are $$91,450$ for a standard production run that generates $37,200$ gallons of Refined Oll and $18,600$ gallons of Top Quality Oil. Additional processing costs beyond the split$-$off point are $$2\mathrm{.}25$ per gallon for Refined Oil and $$1\mathrm{.}80$ per gallon for Top Quality Oil. Refined Oil sells for $$4\mathrm{.}10$ per gallon, while Top Quality Oil sells for $$8\mathrm{.}00$ per gallon.

MangiareBuono, a supermarket chain, has asked Florello to supply it with $37,200$ gallons of Top Quality Oil at a price of $$7\mathrm{.}8$ per gallon. ManglareBuono plans to have the oll bottled in $16-$ounce bottles with its own ManglareBuono label.

If Fiorello accepts the order, it will save $$0\mathrm{.}29$ per gallon in packaging of TopLQuality Oil. There is sufficient excess capacity for the order. However, the market for Refined Oil is saturated, and any additional sales of Refined Oil would take place at a price of $$3\mathrm{.}03$ per gallon. Assume that no significant non$-$unit$-$level activity costs are incurred.

Required:

What is the profit normally earned on one production run of Refined Oil and Top Quality Oil?

$$

Should Fiorello accept the special order?