Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243,
a). So,
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
= 0.568
c). Neither economics nor mathematics
= 0.162
Answer:
The profit function is:
The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:
And the cost function is:
Then the total profit function will be:
This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:
In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:
And the maximum profit will be: