1) In a system with a single server, the probability that the server busy Is 80%. What is the probabllity that 2 customers are in the system? 2) The arrival rate at customer service counter is 5 customers per hour, and the average service rate is 6 customers per hour. What is the number of customers waiting for service? 3) A small shoe manufacturer makes two styles of shoes: oxford and Loafers. Two machines are used in the process: a cutting machine and a sewing machine. Each type of shoe requires 15 minutes per pair on the cutting machine. Oxford require 10 minutes of sewing per pair and Loafers require 20 minutes of sewing per pair. Because the manufacturer can hire only one operator for each machine, each process is available for just 8 hours per day. If the profit is $15 on each pair of oxfords and $20 on each pair of loafers, how many pairs of each type should be produced per day for maximum profit. (Write only the Linear Programming Model)