The forecast demand for a company for Jan. to June is given in the table below. It is known that the starting inventory in Jan. is 0 unit and it is required that 0 units be left at the end of June. It is known that the company had 40 workers last December. It is also known that these 40 workers produced 400 units last December that had 20 working days. Cost information is given below.   (i) Wage: $120 per day per worker; Cost of hiring: $500 per worker; Cost of layoff: $1000 per worker (ii) Holding cost: $2 per unit; Shortage cost: $3 per unit   The manager of this company wants to develop a staffing plan that minimizes total cost.  He wants to use the constant strategy for January through June.     (a) Calculate the average number of units produced per worker per day (K).  (b) Complete the following table.    (c) Show the following costs of this workforce plan.   Wages: Inventory holding cost: Inventory shortage cost:

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question

The forecast demand for a company for Jan. to June is given in the table below. It is known that the starting inventory in Jan. is 0 unit and it is required that 0 units be left at the end of June. It is known that the company had 40 workers last December. It is also known that these 40 workers produced 400 units last December that had 20 working days. Cost information is given below.  

(i) Wage: $120 per day per worker; Cost of hiring: $500 per worker; Cost of layoff: $1000 per worker

(ii) Holding cost: $2 per unit; Shortage cost: $3 per unit  

The manager of this company wants to develop a staffing plan that minimizes total cost.  He wants to use the constant strategy for January through June.    

(a) Calculate the average number of units produced per worker per day (K). 

(b) Complete the following table.   

(c) Show the following costs of this workforce plan.  

Wages:

Inventory holding cost:

Inventory shortage cost:   

Month
December 20
January 25
February 22
March
# of
Working
Days
April
May
June
25
24
25
24
Demand Cumulative # of
Demand
420
280
460
190
310
145
Workers Level
40
Production Cum. Ending Inventory
Production Inventory Shortage
(units)
Level
(units)
40
Transcribed Image Text:Month December 20 January 25 February 22 March # of Working Days April May June 25 24 25 24 Demand Cumulative # of Demand 420 280 460 190 310 145 Workers Level 40 Production Cum. Ending Inventory Production Inventory Shortage (units) Level (units) 40
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.