3. (4.5 points) Consider a 2-station production line where each station has a single machine that is subject to failures. The operational characteristics of the two machines are shown in the picture. a. Which station is the effective bottleneck of the line? t0(1)=9.5mt0(2)=8m b.Supposethatpartsarereleasedtothefirststationinadeterministicmanner,withconstantinter-releasetimes,witharateofra(1)=5.1partsperhour.Whatisthemeancycletimeoftheline?c02(1)=0.91mf(1)=4.75hmr(1)=0.25hcr2(1)=0.2c02(2)=0.4mf(2)=2hmr(2)=0.5hcr2(2)=0 c. What is the average number of jobs waiting to be processed at stations 1 and 2 under the assumptions of part (b) above? d. Suppose that the first machine always has parts to process and that the buffer space between two stations has a capacity of N=4 parts. If the buffer is full, assume that the first machine is blocked after service with space occupied. Assuming that the machines have exponentially distributed process times with means equal to the mean effective process times found in your analysis of part (b), what is the average throughput of the line? e. What are the efficiencies of the two machines in part (d) ? f. Do your results in part (b) justify using the exponential assumption in part (d)