P(q)=-0.01(q-250)(q-80) The given equation gives the profit, P(q), in dollars, earned by a cupcake bakery when q cupcakes are produced. What is the best interpretation of the number 80 in this context? Choose 1 answer: (A) 80 is a number of cupcakes for which the profit is equal to $0. (B) 80 is the number of cupcakes that corresponds to the maximum profit. (C) 80 is the number of cupcakes that corresponds to the minimum profit. (D) $80 is the maximum profit, in dollars.

Question

P(q)=-0.01(q-250)(q-80) The given equation gives the profit,  P(q), in dollars, earned by a cupcake bakery when  q cupcakes are produced. What is the best interpretation of the number 80 in this context? Choose 1 answer: (A) 80 is a number of cupcakes for which the profit is equal to  $0. (B) 80 is the number of cupcakes that corresponds to the maximum profit. (C) 80 is the number of cupcakes that corresponds to the minimum profit. (D)  $80 is the maximum profit, in dollars.

Bytelearn · Accepted Answer

Profit Equation Analysis: The profit equation is P(q)=-0.01(q-250)(q-80). To understand what the number 80 represents, we need to look at the factors of the quadratic equation.Factors of Quadratic Equation: The factors (q-250) and (q-80) indicate the values of q for which the profit P(q) will be zero. This is because if q equals either 250 or 80, one of the factors will be zero, making the entire product zero.Zero Profit Point: Since we're looking at the number 80, when q=80, the factor (q-80) becomes zero, which means the profit P(q) is zero. This indicates that at 80 cupcakes, the bakery does not make a profit.Interpretation of Number 80: Therefore, the best interpretation of the number 80 in this context is that it is the number of cupcakes for which the profit is equal to $0.

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