value: 20.00 points PA 7-5 Sarah\'s Organic Soap Company makes... Sarah\'s Organ

Question

value: 20.00 points PA 7-5 Sarah's Organic Soap Company makes... Sarah's Organic Soap Company makes four kinds of organic liquid soap- "regular" "lavender, "citrus," and "tea tree." Demand for the four scents are 175, 140, 75, and 40 kgs per hour respectively. Sarah's production process can produce any soap at the rate of 475 kgs per hour, but 1.5 hours are needed to switch between scents. During those switchover times, the process doesn't produce any soap. Sarah wants to choose a production schedule that (1) cycles repeatedly through the four scents, (2) meets the required demand and (3) minimizes the amount of inventory held. many kgs of 'regular" should Sarah produce before switching over to another scent? 11,667 kg

Explanation / Answer

Suggested Batch Size = Flow rate x Set up time/[1 – (Flow rate*Processing time)]

•   Flow Rate = 175 + 140 + 75 + 40 = 430 kgs for each hour

•   Set up time = 4 distinct aromas x 1.5 hour for every change to another fragrance = 6 hours

•   Processing time = 475 kgs for each hour

Prescribed group estimate = (430) x (6)/[(1 – (430/475)] = 2580/(0.095) = 27157.89 kgs

Answer:- 27157.89kg

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