Wilson Publishing Company produces books for the retail market. Demand for a current book is expected...

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Finance

  1. Wilson Publishing Company produces books for the retail market.Demand for a current book is expected to occur at a constant annualrate of 7,700 copies. The cost of one copy of the book is $13. Theholding cost is based on an 20% annual rate, and production setupcosts are $165 per setup. The equipment on which the book isproduced has an annual production volume of 27,000 copies. Wilsonhas 250 working days per year, and the lead time for a productionrun is 17 days. Use the production lot size model to compute thefollowing values:

    1. Minimum cost production lot size. Round your answer to thenearest whole number. Do not round intermediate values.

      Q* =
    2. Number of production runs per year. Round your answer to twodecimal places. Do not round intermediate values.

      Number of production runs per year =
    3. Cycle time. Round your answer to two decimal places. Do notround intermediate values.

      T = days
    4. Length of a production run. Round your answer to two decimalplaces. Do not round intermediate values.

      Production run length = days
    5. Maximum inventory. Round your answer to the nearest wholenumber. Do not round intermediate values.

      Maximum inventory =
    6. Total annual cost. Round your answer to the nearest dollar. Donot round intermediate values.

      Total annual cost = $  
    7. Reorder point. Round your answer to the nearest whole number.Do not round intermediate values.

      r =

Answer & Explanation Solved by verified expert
3.8 Ratings (774 Votes)

Formula Given data:
Annual Demand (D) (number of units)                   7,700
Price per unit (p) $ 13.00
20%*p Holding cost per unit (Hc) $ 2.60
Production set-up cost (Sc) $ 165.00
Annual production capacity (AC)                 27,000
Number of days (n)                       250
Lead time (Lt) (in days)                         17
Formula Calculations:
D/n Usage rate (U) (unit/day) 30.8
AC/n Production (P) (unit/day) 108
Ans (a) [(2D*Sc/Hc)^0.5]*[(P/(P-U)] Minimum cost production lot size (Q*) 1,169
Ans (b) D/Q* Number of production runs per year                      6.59
Ans (c) Q*/U Cycle Time (in days)                   37.96
Ans (d) Q*/P Length of a production run (in days)                   10.83
Ans (e) (Q*/P)*(P-U) Maximum inventory (in number of units) (Imax)                       836
Ans (f) (Imax*Hc/2) + (D/Q*)*Sc Total annual cost                   2,173
Ans (g) P/Lt Reorder point                            6

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