Kevin’s Original Soupman makes four kinds of soup - “onion”, “tomato”, “chicken”
ID: 366608 • Letter: K
Question
Kevin’s Original Soupman makes four kinds of soup - “onion”, “tomato”, “chicken” and “borsch”. Demand for the four types of soup are 150, 120, 80 and 50 gallons per hour respectively. Kevin’s production process can produce any soup at the same rate of 500 gallons per hour but 1.5 hours are needed to switch between types. During the switchover times, the process doesn’t produce any soup. Kevin wants to choose a production schedule that (i) cycles repeatedly through the four types and (ii) meets the customer demand.
a. Kevin chooses a production schedule of producing 19,000 gallons soups in a production cycle. Within each production cycle, he produces each type of soup proportional to their demand. How many gallons of “onion” will be produced in a production cycle?
b. Continue with the setting in (b). What is the process capacity in [gallons/hour]? Is this process capacity large enough to meet all customer demand?
c. How many gallons of soup should Kevin choose to produce in a production cycle, so that he can achieve a process capacity that is equal to 420 [gallons/hour]?
Explanation / Answer
a)
Production is 19000 gallons,
The onion is 150/(150+120+80+50) = 0.375
The production of = 7125 Gallons,
b)
Total time =(19000/500) + 1.5*4 = 44 hours
In 44 hours the company is producing 19000 gallons, so in one hour it will produce
19000/44 = 431.8182 gallons
Total demand = 150+120+80+50 = 400 Gallons. Since, production is greater than demand we can say that production will be able to meet the demand.
c)
x/((x/500) + 1.5*4) = 420
Solving this for x by Proceed in similar way be doing the reverse calculation we came to know that the production cycle will be of 15750 Gallons.
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