Question: 4. Crew-balance analysis & optimization (30%) A construction worker operates a concrete mixer. The current operating sequence and resource utilization are displayed in the crew-balance

4. Crew-balance analysis & optimization (30%) A

4. Crew-balance analysis & optimization (30%) A construction worker operates a concrete mixer. The current operating sequence and resource utilization are displayed in the crew-balance chart below. Time (min.) Mixer Operator Prepare materials Insert Occupied Transport 1 Run 10 Transport 2 Extract Occupied Test 15 Production and costs: Production: Operator rate: Helper rate: Concrete mixer (machine): 3.5 CY/batch $40/hr $28/hr $50/hr Assume (i) operator can perform all tasks, (ii) a helper can carry out all tasks, independently or collaboratively, except for Test, (iii) the durations of Prepare Materials, Insert & Extract will be reduced in proportion to the units of resource in use, (iv) each batch from the mixer will fill exactly two transport buckets and there are enough transport buckets for temporary storage of concrete, (v) each Transport (travel, dump, and return) takes exactly 3 minutes (non-separable, non-sharable), and (vi) Run always takes 5 minutes. (a) Calculate the Productivity (CY/man-hr), Unit (labor+equipment) Cost ($/CY) of the existing operation. (5%) (no partial credit) 4. Crew-balance analysis & optimization (30%) A construction worker operates a concrete mixer. The current operating sequence and resource utilization are displayed in the crew-balance chart below. Time (min.) Mixer Operator Prepare materials Insert Occupied Transport 1 Run 10 Transport 2 Extract Occupied Test 15 Production and costs: Production: Operator rate: Helper rate: Concrete mixer (machine): 3.5 CY/batch $40/hr $28/hr $50/hr Assume (i) operator can perform all tasks, (ii) a helper can carry out all tasks, independently or collaboratively, except for Test, (iii) the durations of Prepare Materials, Insert & Extract will be reduced in proportion to the units of resource in use, (iv) each batch from the mixer will fill exactly two transport buckets and there are enough transport buckets for temporary storage of concrete, (v) each Transport (travel, dump, and return) takes exactly 3 minutes (non-separable, non-sharable), and (vi) Run always takes 5 minutes. (a) Calculate the Productivity (CY/man-hr), Unit (labor+equipment) Cost ($/CY) of the existing operation. (5%) (no partial credit)

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