Please solve this correctly and show work (using 30 min time slots)

Question 3. AllWings restaurant offers half-price wings every Wednesday. The restaurant opens at 7pm. However, customers start lining up at 6:30pm. Customers arrive at a rate of 45/hr until 8:30pm and then at a rate of 30/hr until 10pm. The restaurant can serve at a rate of 35/hr, and the counter works till all customers served. (a) Draw the Inventory Build-Up diagram showing the number of customers waiting in line in 30minute time slots. Feel free to use a table representing arrivals/capacity/excess demand/excess capacity to ease up preparing the diagram. Start the graph at 6:30pm and show the number of waiting customers until the line becomes empty. (b) Using the inventory build-up diagram, calculate the average number of customers in line. Question 4. Consider Question 3. How long on average does a customer spend in line? (Hint: Little's Law.) Show your calculations and include all the units