Mathematics 2018 JAMB Past Questions - Question 7: A trader realises 10x -x² naira profit from the sale of x bags of corn.How many bags will give him the maximum profit?

Correct Answer

C

Explanation

To find the number of bags that will give the trader the maximum profit, we can use the concept of finding the maximum of a quadratic function. The profit function is given by P(x) = 10x - x^2.To find the maximum profit, we can take the derivative of the profit function with respect to x and set it equal to zero. Then we can solve for x.P'(x) = 10 - 2xSetting P'(x) = 0 gives:10 - 2x = 02x = 10x = 5So, the trader will realize the maximum profit when he sells 5 bags of corn.