To find the sum of bags that will give him the maximum profit, we need to maximize the profit function.
The profit function is given by P(x) = 25x - x².
To find the maximum of this quadratic function, we can take the derivative and set it equal to zero.
P'(x) = 25 - 2x = 0
Solving for x, we get:
25 - 2x = 0
2x = 25
x = 25/2
x = 12.5
The trader will have the maximum profit when he sells 12.5 bags of rice.
However, since the question asks for the sum of bags, we need to round this value to the nearest whole number. The sum of bags that will give him the maximum profit is 13.
Therefore, the answer is not among the given options.
A trader realizes 25x − x
2 naira from the
sale of x bags of rice. Find the sum of bags
that will give him the maximum profit.
A. 14
B. 11
C. 12½
D. 22
1 answer