To find the amount of spending that will achieve the maximum profit, we need to determine the x-coordinate of the vertex of the quadratic function.
The x-coordinate of the vertex can be found using the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic function in the standard form ax^2 + bx + c.
Comparing the given quadratic function P = -5x^2 + 1,000x + 5,000 with the standard form, we have a = -5 and b = 1,000.
Using the formula x = -b/2a, we can calculate the x-coordinate of the vertex as:
x = -1,000 / (2 * -5)
x = -1,000 / -10
x = 100
Therefore, spending $100,000 (in thousands) on marketing will achieve the maximum profit.
The profit ( in thousands of dollars) of a company is represented as P = -5x^2 + 1,000x +5,000, where P represents the profit and c represents the amount spent on marketing( in thousands of dollars). How much spending in the thousands will be directed toward marketing to achieve the maximum profit
1 answer
1 answer