please answer only the following 3A 3B 3C 3D 3E 3F . thank you

This assignment thas 4 Questions with sub parts. For Questions 1 to 3 , use the following definition of distribution types. Distribution Type 1: Normal distribution with mean =75 and std. dev =25 Distribution Type 2: Uniform Distribution U [50,100] Distribution Type 3: Discrete Distribution Q1. Newsvendor Problem: Let's say you are the manager of a famous band that is organizing a concert. You want to take advantage of this concert and sell some concert. T-shirts to music fans. You may procure Tshirts at a cost of $20 each. The price of T-shirt for the music fans is $50. Answer the following questions based on the above info. 1A. What is the underage cost? What does this cost represent? (0.5+1.5 pts ) 18. What is the overage cost? What does this cost represent? (0.5+1.5pts) 1C. What is the critical ratio? What does critical rotio represent? (0.5+1.5pts) 10. If demand of T-shirts is distributed as distribution type 1 , then how many T-shirts will you order? ( 2 pts) 1E. If demand of T-shirts is distributed as distribution type 2, then how many T-shirts will you order? (2 pts) 1F. If demand of T-shirts is distributed as distribution type 3, then how many T-shirts will you order? (2 pts) Q2. Protection Level: Let's say you are the Hotel Manager of Hotel Holiday. You have 300 rooms in the hotel. A famous band is organizing a concert near your hotel. Music fans can either book the hotel in advance for a discounted price of $100/ night or wait until the last minute to book a room at a price of $300/ night. The demand is large enough that you can sell out all rooms at $100/ hight. Answer the following questions based on the above info. 2A. What is the underage cost? What does this cost represent? (0.5+1.5pts) 2B. What is the overage cost? What does this cost represent? (0.5+1.5pts) 2C. What is the critical ratio? What does critical ratio represent? (0,5+1:5pts) 2D. If demand of last-minute music fans is distributed as distribution type. 1 , then how many rooms will you set aside for last-minute music fans? What is the Booking Limit for the discounted rooms? (2+1 pts) 2E. If demand of last-minute music fans is distributed as distribution type 2 , then how many rooms will you set aside for last-minute music fans? What is the Booking Limit for the discounted rooms? (2+1pts) 2F. If demand of last-minute music fans is distributed as distribution type 3, then how many rooms will you set aside for last-minute music fans? What is the Booking Limit for the discounted rooms? (2+1pts) Q3. OverBooking: Let's say you are the Hotel Manager of Hotel Holiday. You have 300 rooms in the hotel. A famous band is organizing a concert near your hotel. Music fans can book a hotel room at $100/ night. The price is non-refundable. You are aware that some music fans may book a hotel room but not show up. Therefore, you decide to overbook the hotel. However, if you must deny a room to a music fan due to overbooking, you will need to provide accommodation in the only luxury resort near you. The price of a room at the luxury resort is $500/ hight. 3A. What is the underage cost? What does this cost represent? (0.5+1.5pts) 38. What is the overage cost? What does this cost represent? (0.5+1.5pts) 3C. What is the critical ratio? What does critical ratio represent? (0.5+1.5pts) 30. If number of no-shows are distributed as distribution type 1 , then how many overbookings will you do? What is the number of reservations that you will take? (2+1 pts) 3E. If number of no-shows are distributed as distribution type 2 , then how many overbookings will you do? What is the number of reservations that you will take? (2+1 pts) 3F. If number of no-shows are distributed as distribution type 3 , then how many overbookings will you do? What is the number of reservations that you will take? (2+1 pts )