Mohave Corporation makes several varieties of beach umbrellas and accessories. It has been approached by a company called Lost Mine Industries about producing a special order for a custom umbrella called the Ultimate Shade $($US$).$ The special$-$order umbrellas with the Lost Mine Company logo would be distributed to participants at an upcoming convention sponsored by Lost Mine.

Lost Mine offered to buy $1,600$ US umbrellas at a price of $$12$ each. Mohave currently has the excess capacity necessary to accept the offer. The following information is related to the production of the US umbrella:

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