To find the amount of spending in thousands that will result in the maximum profit, we need to determine the x-coordinate of the vertex of the given quadratic equation.
The quadratic equation is given as P = -5x^2 + 1000x + 5000.
To find the x-coordinate of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation in the form ax^2 + bx + c.
In this case, a = -5 and b = 1000. Plugging these values into the formula, we get x = -1000 / (2 * -5) = 1000 / 10 = 100.
Therefore, spending $100,000 in 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 x 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