Becky sets up a hot dog stand in her busy neighborhood and purchases \(x\) pounds of hot dogs for \(p\) dollars per

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Becky sets up a hot dog stand in her busy neighborhood and purchases \(x\) pounds of hot dogs for \(p\) dollars per pound. If she has to throw away \(s\) pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for \(d\) dollars per pound, which of the following represents the net profit on the sale of the hot dogs?

A. \((x-s)p-sd\)
B. \(xp-(xd-sd)\)
C. \(xd-sp\)
D. \((x-s)d-xp\)
E. \((s-p)d-xp\)

The OA is D

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Since he purchases x pounds of hot dogs for p dollars per pound, so the net profit's expression must be showing this xp input getting subtracted from some overall revenue, so let's eliminate A, B, and C. Moreover, since $$x>s$$ choose D.