EcoAuto is a company that produces eco-friendly electric cars. The company has the following financial functions: - Revenue function: R(q)=300q−3q^2 where: q is the number of electric cars sold. - Expense function: E(q)=4,000+50q where: q is the number of electric cars produced. What is the profit equation P(q) for EcoAuto in terms of the quantity q of cars produced and sold?
Profit equals revenue minus expenses: P(q) = R(q) − E(q). Substituting the given functions gives P(q) = (300q − 3q²) − (4,000 + 50q) = −3q² + 250q − 4,000. This matches choice A.
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