Please solve this for me case study for the Minnetonka warehouse 1. Trucks arrive randomly at the average rate of 4 per hour, with a deviation of plus or minus one. 2. A team of two warehouse workers can unload trucks at the rate of 5 per hour, or 1 every 12 minutes. 3. A team of three warehouse workers can unload trucks at the rate of 8 per hour, or 1 every 7.5 minutes. 4. A team of four warehouse workers can unload trucks at the rate of 10 per hour, or 1 every 6 minutes. 5. A team of five warehouse workers can unload trucks at the rate of 11 per hour, or 1 every 4.45 minutes. 6. The unloading times given in the preceding items (1-5) are average figures. 7. Each warehouse worker receives $14 per hour, must be paid for an entire shift, and- because of union work rules- cannot be assigned to other tasks within the warehouse. 8. Because of its contract with the carriers, the Minnetonka warehouse must pay the motor carriers that own idle trucks at the rate of $60 per hour while the trucks stand idle, waiting to be unloaded. Questions: Question 1: For each of the four work team sizes, calculate the expected number of trucks in the queue to be unloaded. (4 points) Question 2: For each of the four work team sizes, calculate the expected time in the queuethat is, the expected time a truck has to wait in line to be unloaded. (4 points) Question 3: For each of the four work team sizes, what is the probability that a truck cannot be unloaded immediately? (4 points) Question 4: Which of the four work team sizes results in the lowest cost to Wayne? (4 points) Question 5: Wayne is also considering rental of a forklift to use in truck unloading. A team of only two would be needed, but the hourly cost would be $38 per hour ($28 for the workers and $10 for the forklift). The two workers could unload a truck in 5 minutes. Should Wayne rent the forklift? (2 points) Question 6: Disregard your answer to Question 5. Labor negotiations are coming up, and Wayne thinks he can get the union to give way on the work rule that prohibits warehouse workers on the unloading dock from being given other assignments when they are not unloading trucks. How much would Wayne save in unloading dock costs if he could reassign warehouse workers to other tasks when they are not unloading trucks, assuming that he has picked a good team of workers and each worker works 8 hours a day? (2 points)