Question

"Solve and answer this problem on your worksheet". Submit your worksheet on the link available after submitting this exam. Please, make sure your calculations are thorough, clear enough and with enough details to allow the instructor follow your work. Show any intermediate/partial step in other so the instructor can see your work towards your final answer. Underline your results. Use pencil and eraser!! Your company has decided to use robot welders in the manufacturing of auto frames. The production plan calls for 3,000 units per week, with each robot doing the same ten welds on each frame. The best estimate you have for the time of the ten welds is 21 minutes per frame, including material handling. The company works 40 hours per week, and you expect the robots to be available 70% of the time with a reliability of 90%.

a. List the variable and formula you need to solve this problem.

b. Calculate the number of robots needed to complete the weekly production goal. (worksheet)

c. Choose your best answer below

d. Discuss an effective method to reduce the number of machines required by half?

Answer:

A.27.3

B. 42

C.35.9

D. 30

E. 2500

Answer 1

actual working time of a robot per week = Time per week x availaility x reliability

= 40x0.7x0.9 = 25.2 hours = 25.2 x60 =1512 minutes

Working hours needed for meeting targets of 3000 frames = 3000x time taken by one robot to make a frame

= 3000x21 = 63000

Number of robots needed = Total working hours needed to meet the target / actual working time of a robot per week

= 63000/1512 =41.66 =42 ( since the robot can not be in fraction)

Option B is right