The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,750 per day. FSF supplies hot dogs to local restaurants at a steady rate of 360 per day. The cost to prepare the equipment for producing hot dogs is $65. Annual holding costs are 50 cents per hot dog. The factory operates 300 days a year. Find
a) The optimal run size
b) The number of runs per year
c) The length (in days) of a run

Respuesta :

Answer:

a) Optimal Run Size OR EPR=5473.15≅5473

b) Number of runs per year=19.73≅20 runs

c)  Length in days of a run=0.9518 per day≅1 per day

Step-by-step explanation:

Holding Cost=H=$0.5

Setup Cost=S=$65

Production per day=p=5750 hot dogs

Demand per day=d=360 hot dogs

Annual Demand= D= Demand per day x Operational days

Annual Demand= D=360 x 300=108000

Optimal Run Size OR EPR=[tex]\sqrt{\frac{2*D*S}{H*(1-\frac{d}{p}) } }[/tex]

Optimal Run Size OR EPR=[tex]\sqrt{\frac{2*108000*65}{0.5*(1-\frac{360}{5750}) } }[/tex]

Optimal Run Size OR EPR=5473.15≅5473

Number of runs er year=Annual Demand/ Optimal Run Size

Number of runs er year=108000/5473

Number of runs per year=19.73≅20 runs

Length in days of a run= optimal Run Size/ Daily Demand

Length in days of a run=5473/5750

Length in days of a run=0.9518 per day≅1 per day