A company manufactures hair dryers. It buys some of the components, but it makes the heating element, which it can produce at the rate of 800 per day. Hair dryers are assembled 250 days a year, at a rate of 300 per day. Because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,000 units.
Answers
Answer:
0.98
Explanation:
9,8
no copyright infringement intended
Answer:
Explanation:
Number of batches of heating elements produced annually = 300 per day*250 days
Batch size = 2000
Number of batches = 300*250/2000 = 37.5
Number of inventory daily during production
= Daily production rate – Daily usage rate
= 800 – 300 = 500
Inventory in hand 2 days later = 500*2 = 1000
Inventory for the heating elements = Batch size x ( 1 – daily requirement/ Daily production )
= 2000*(1-300/800) = 1250
Average Inventory = ( Max. inventory + Min inventory )/ 2
= 1250/2 = 625
we already have that 37.5 batches of production of heating elements are required
Setup time of heating element per batch to use = 1/2 day
Total set up time required in a year = 0.5*37.5 = 18.75days
Number of heating elements required in a year = 300*250 = 75000
At production rate of 800 per day ,with no setup time required for heating element = 75000/800 = 93.75 days
total time required in a year for heating elements will now be
= Actual production time + Setup time
= 93.75 + 18.75 = 112.5 days
which means the spare time available annually to produce other components = 250 – 112.5 = 137.5 days = 138days