Real World Quadratic Functions Coursework Example | Topics and Well Written Essays - 500 words

Real World Quadratic Functions - Coursework Example This paper will determine the maximum possible profit for the chain store and the number of clerks that will maximize the profit. The parabola will cross the x-axis at 0 and 12. The value of a = -25 is large and negative, indicating that the parabola will be narrow and will open downward. This means that the maximum value will be at the vertex. The x-value for the vertex of the parabola is given by , where a = -25 and b = 300. Figure 1 shows the graph of the Profit function, . The graph of the profit function is a parabola with vertex at (6, 900). As shown in the graph, there will be no profit made when no clerk is working or when 12 clerks are working, and there will be loss if more than 12 clerks are working.. The maximum profit will occur when 6 clerks are working and will be equal to $900. The graph of the profit function is only relevant in the first quadrant, as the value of the x cannot be negative that is negative clerks cannot exist. In conclusion, the daily profit, P of a chain store is related to the number of clerks working that day, x, and is given by the function . This paper used quadratic function to determine the maximum possible profit for the chain store and the number of clerks that will maximize the profit. The graph of the profit function (and also solution) indicated that the maximum profit would occur when 6 clerks are working and would be equal to $900. The graph also indicated that there would be no profit made when no clerk is working or when 12 clerks are working, and there will be loss if more than 12 clerks are working. Therefore, the store manager should employ 6 clerks to achieve maximum possible profit at the