Emmanuella Petroleum has spent $ $204$ comma $000$$$204,000$ to refine $62$ comma $00062,000$ gallons of petroleum$$ distillate, which can be sold for $ $6\mathrm{.}40$$$6\mathrm{.}40$ per gallon.$$ Alternatively, Emmanuella PetroleumEmmanuella Petroleum can process the distillate further and produce $56$ comma $00056,000$ gallons of cleaner fluid. The additional processing will cost $ $1\mathrm{.}75$$$1\mathrm{.}75$ per gallon of distillate. The cleaner fluid can be sold for $ $9\mathrm{.}00$$$9\mathrm{.}00$ per gallon. To sell cleaner$$ fluid, Emmanuella PetroleumEmmanuella Petroleum must pay a sales commission of $ $0\mathrm{.}13$$$0\mathrm{.}13$ per gallon and a transportation charge of $ $0\mathrm{.}18$$$0\mathrm{.}18$ per gallon.

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Part $1$

Requirement $1.$ Fill in the diagram for Emmanuella PetroleumEmmanuella Petroleum$\text{'}$s alternatives.

Revenues from

selling as is

Joint costs

$---------------------->$

$

of producing

$62,000$

gallons of

petroleum

distillate

Cost of

Revenues from

$

$-----$

processing

$-->$

processing

further

further

$

$