A taco truck is parked at a local lunch site and customers queue up to buy tacos at a rate of one per minute. Customers arrive according to a Poisson process. It takes 40 seconds on average to serve a customer (using a single server), with a standard deviation of 20 seconds. (Hint: This is an M/G/1 queue) (a) What is the average utilization of the truck? (Round to four decimal places) (b) What is the average time (in seconds) it takes a customer from when they arrive to the truck until they receive their taco? (Round to two decimal place) (c) What is the average length of the line? (Round to two decimal places) (d) The owner is thinking of adding more servers, and would like to add as many as needed to get the probability of delay to a value less than or equal to 25%. How many servers in total are needed for this? (Assume all servers have identical service rates.)