10. 6, The Simple Simon Bakery produces fruit pies for freezing and subsequent sale. The bakery, which operates 5 days per week, 52 weeks per year, can produce pies at the rate of 64 pies per day. The bakery sets up the pie production operation and produces until a predetermined number (Q) of pies has been produced. When not producing pies, the bakery uses its personnel and facilities for producing other bakery items. The setup cost for a production run of fruit pies is $500. The cost of holding frozen pies in storage is $5 per pie per year. The annual demand for frozen fruit pies, which is constant over time, is 5,000 pies. Determine the following. a. The optimal production run quantity (Q) (Ans; Q=1195.6) b. The total annual inventory costs (Ans; TC= $4181.86) c. The optimal number of production runs per year (Ans; 4.18 production runs) d. The optimal cycle time (time between run starts) (Ans; 62.2 working days) e. The run length, in working days (Ans: 18.68 working days)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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10. 6, The Simple Simon Bakery produces fruit pies for freezing and subsequent sale. The
bakery, which operates 5 days per week, 52 weeks per year, can produce pies at the rate of
64 pies per day. The bakery sets up the pie production operation and produces until a
predetermined number (Q) of pies has been produced. When not producing pies, the bakery
uses its personnel and facilities for producing other bakery items. The setup cost for a
production run of fruit pies is $500. The cost of holding frozen pies in storage is $5 per pie per
year. The annual demand for frozen fruit pies, which is constant over time, is 5,000 pies.
Determine the following.
a. The optimal production run quantity (Q) (Ans; Q=1195.6)
b. The total annual inventory costs (Ans; TC= $4181.86)
c. The optimal number of production runs per year (Ans; 4.18 production runs)
d. The optimal cycle time (time between run starts) (Ans; 62.2 working days)
e. The run length, in working days (Ans: 18.68 working days)
Transcribed Image Text:10. 6, The Simple Simon Bakery produces fruit pies for freezing and subsequent sale. The bakery, which operates 5 days per week, 52 weeks per year, can produce pies at the rate of 64 pies per day. The bakery sets up the pie production operation and produces until a predetermined number (Q) of pies has been produced. When not producing pies, the bakery uses its personnel and facilities for producing other bakery items. The setup cost for a production run of fruit pies is $500. The cost of holding frozen pies in storage is $5 per pie per year. The annual demand for frozen fruit pies, which is constant over time, is 5,000 pies. Determine the following. a. The optimal production run quantity (Q) (Ans; Q=1195.6) b. The total annual inventory costs (Ans; TC= $4181.86) c. The optimal number of production runs per year (Ans; 4.18 production runs) d. The optimal cycle time (time between run starts) (Ans; 62.2 working days) e. The run length, in working days (Ans: 18.68 working days)
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