# Atlas inc is a toy bicycle manufacturing company

Atlas Inc. is a toy bicycle manufacturing company producing a five-inch small version of the bike that Lance Armstrong rode to win his first Tour de France. The assembly line at Atlas Inc. consists of seven work stations, each performing a single step. Stations and processing times are summarized below. Step 1 (30 sec): The plastic tube for the frame is cut to size Step 2 (20 sec): the tube is put together Step 3 (35 sec): the frame is glued together. Step 4 (25 sec): the frame is cleaned. Step 5 (30 sec): pain is sprayed onto the frame. Step 6 (45 sec): Wheels are assembled. Step 7 (40 sec): all other parts are assembled to the frame. Under the current process layout, workers are allocated to the stations as shown below. Worker 1: Steps 1, 2 Worker 2: Steps 3, 4 Worker 3: Step 5 Worker 4: Step 6 Worker 5: Step 7 Assume the workers are paid \$15 per hour. Each bicycle is sold for \$6 and includes parts that are sourced for \$1. The company has fixed costs of \$200 per hour. Despite Lance Armstrong’s doping confession, there exists substantially more demand for the bicycle than Atlas can supply. a. What is the cost of direct labor for the bicycle? b. How much profit does the company make per hour? c. What would be the profits per hour if Atlas would be able to source the parts 10 percent cheaper (\$0.90 for the parts of one unit)? d. What would be the profits per hour if Atlas were able to reduce fixed costs by 10 percent (to \$180 per hour)? e. What would be the profits per hour if Atlas were able to reduce the processing time at the bottleneck by 5 seconds per unit (assume unlimited demand)?

a. Worker 2 is bottleneck Cost of direct labor = total wage per hour/flow rate = (5*15)/(3600/60) = 1.25 b. Flow rate = 3600/60 = 60 per hour profit made per hour = revenue-fixed cost-variable cost =60*6-200-60*1-5*15 = 25 c. profit made per hour before sourcing the parts 10 percent cheaper = revenue-fixed cost-variable cost =60*6-200-60*1-5*15 = 25 If Atlas is able to source the parts 10 percent cheaper then savings achieved 60*0.1 = 6 So, profit earned per hour = 25+6 = 31 d. profit made per hour before reducing fixed cost 10 percent cheaper = revenue-fixed cost-variable cost =60*6-200-60*1-5*15 = 25 if Atlas were able to reduce fixed costs by 10 percent then savings achieved = 200*10% = 20 So, profit earned per hour = 25+20 = 45 e. If Atlas were able to reduce the processing time at the bottleneck by 5 seconds per unit the flow rate becomes = 3600/55 = 65.45454545 profit made per hour = revenue-fixed cost-variable cost

=65.45454545*6-200-65.45454545*1-5*15 = 52.27272725