Learning Curve (LC) Data and Models (Due: TBA) Problem Description: The following table shows processing times of toy cars assembled manually. Individual column presents the assembly time of an operator and average column presents the average assembly time of 5 operators in the production system. Unit Individual Average Unit Individual Average (minutes) (minutes) (minutes) (minutes) 1 3,900 3,900 9 1,950 2,350 2 2,740 3,320 10 1,950 2,310 3 2,660 3,100 11 1,760 2,260 4 1,980 2,820 12 1,540 2,200 5 2,320 2,720 13 1,680 2,160 6 2,000 2,600 14 1,320 2,100 7 1,900 2,500 15 1,500 2,060 8 1,700 2,400 16 1,100 2,000 Questions: 1. Plot LCs for both individual and average processing time. Make those plots as much informative as you could. You may use MS Excel to draw plots. [10 points) 2. Solve the LC equations for both plots and provide % learning rate (p). You must show your work to calculate % learning rates. [10 points) 3. Estimate production time to produce next 20 toy cars assuming you just finished 16 car as an individual operator using: (1) Integral operation to calculate the area under the curves in certain range. Show your work. [4 points] (ii) Summation of assembly times of next 20 toys using calculator or software program such as Excel. [4 points) (iii) Discuss the difference between your answers for (i) and (ii). [2 points)