If the price young couples are willing to pay increases by 50%,how many rooms should be reserved for corporate clients?

A) 17
B) 7
C) 4
D) 10

First, we need to calculate the new price that the young couples are willing to pay, which is $225 ($150 x 1.5).
Next, we need to determine the point at which the revenue from the young couples equals the revenue from the corporate clients.
To do this, we can use the formula for normal distribution: z = (x - μ) / σ, where z is the z-score, x is the value we are interested in (in this case, the number of rooms reserved for corporate clients), μ is the mean, and σ is the standard deviation.
We want to find the z-score where the area to the right of it is 0.5 (since we want to find the point where the revenue from the young couples equals the revenue from the corporate clients). Using a standard normal distribution table, we find that the z-score is 0.
So, we can set up the equation:
250(20-x) = 225x
Solving for x, we get x = 7.
Therefore, we should reserve 7 rooms for corporate clients.