Maximizing Profit for Ice Cream Cones Sales
Calculating Profit Maximization for Ice Cream Cone Sales
Profit Function: Profit (P(q)) = R(q) - C(q) = $3.25q - (0.73q^3 - 0.95q^2 + 3.1q + 0.4)
To find the quantity that maximizes profit, we need to take the derivative of the profit function and set it equal to zero.
Derivative of Profit Function: P'(q) = 3.25 - (2.19q^2 - 1.9q + 3.1) = 0
Solving the equation using the quadratic formula gives us q ≈ 0.434.
Therefore, the quantity that maximizes profit for the sale of ice cream cones is approximately 0.434 hundred ice cream cones.