National Chemical Company manufactures a chemical compound that is sold for $$51$ per gallon. A new variant of the chemical has been discovered, and if the basic compound were processed into the new variant, the selling price would be $$76$ per gallon. National expects the market for the new compound variant to be $8,700$ gallons initially and determines that processing costs to refine the basic compound into the new variant would be $$174,000.$

Required:

a$.$ What would be the effect on total profit if National produces the new compound variant?

b$.$ Should National produce the new compound variant?

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Required B

What would be the effect on total profit if National produces the new compound variatts?

If National produces the new compound, profit will $$