The weekly price at an extended-stay hotel (renting by the week for business travelers) is $950. Weekly operating costs follow a normal distribution with mean $20,000 and a standard deviation of $2,500 but with a minimum value of $15,000, regardless of the number of rooms rented. The manager has observed that the number of rooms rented during any given week follows a triangular distribution with a minimum of 32, a most likely value of 38, and a maximum of 50. (Round room demand to the nearest integer using the ROUND function.) Please show formulas and answers.

Create a simulation model of 1,000 trials to answer the following questions:

What is the average weekly profit?

What is the probability that weekly profit will exceed $20,000?

What is the probability that weekly profit will be less than $10,000?