from question1 import * # Imports all the neccessary functions for this task.
import matplotlib.pyplot as maingraph # Imports the matplotlib.pyplot library and assigns the methods and functions to maingraph.
import numpy as np #
#3A
maingraph.axis('auto')
maingraph.title('Graph to show the relationship between the introduction of new equipment and mean customer service times')
maingraph.ylabel('Theoretical Mean Queue Length') # Labels the Y axis of maingraph with 'Theoretical Mean Queue Length'
maingraph.xlabel('Alpha value (Average customer service time)') # Labels the X axis with 'Iteration Number'
alphavars = np.arange(1.1,10,0.1)
betavars = np.arange(1,0,-0.1)
for i in betavars:
    plotpoints = []
    for a in alphavars:
        maxQ_value = 0
        for j in range(500):
            maxQ_value += singleQueue(a,i)
        plotpoints.append(maxQ_value / 500)
    maingraph.plot(alphavars,plotpoints)
maingraph.legend() # Creates a legend / Key for the graph
maingraph.show() # Displays the graph