Given the demand forecast, cost, and operating data shown below; evaluate the following production plans. $100 $110 $12 $18 Manufacturing cost per unit Subcontracting cost per unit Regular hourly wage rate Overtime hourly wage rate Regular hours per day per worker Labor hours per unit Layoff cost per worker Hiring cost per worker Inventory holding cost per unit per month Initial workforce $500 $400 $2 250 Month Demand Working days 22 January February March 11,000 15,000 19 32,000 21 April May June 25,000 21 30,000 22 14.500 a) Produce to meet demand by varying the size of the workforce. Satisfy demand for part-time work with overtime. Find the total cost. Workers Workers Fired Hr Available Worker (days×8 hr). (22×8)=176 (44000/176)=250 Hours Workers Needed Month Demand Req. Hired Jan. 11,000 (11000x4)=44,000 Feb. 15,000 60,000 152 394 March 32,000 128,000 Apnil May June 25,000 30,000 14.500 127,500 597 485 Regular Hours ADailable 44,000 59,888 127,848 99,960 119,856 57.920 509,472 Total cost = Total regular hour cost + Overtime cost + production cost + Hiring cost + Firing costs Hours Required Orertime Hours 44,000 60,000 128,000 100,000 120,000 58,000 112 152 40 144 80 528

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Given the demand forecast, cost, and operating data shown below; evaluate the following
production plans.
$100
$110
$12
$18
Manufacturing cost per unit
Subcontracting cost per unit
Regular hourly wage rate
Overtime hourly wage rate
Regular hours per day per worker
Labor hours per unit
Layoff cost per worker
Hiring cost per worker
Inventory holding cost per unit per month
Initial workforce
8
$500
$400
$2
250
Month
Demand
Working days
22
January
February
11,000
15,000
19
March
32,000
21
21
April
Мay
June
25,000
30,000
14.500
a) Produce to meet demand by varying the size of the workforce. Satisfy demand for part-time
work with overtime. Find the total cost.
Workers Workers
Fired
Hr Available
/Worker
days×8 hr)
(22x8)=176 | (44000/176)=250
Hours
Workers Needed
Month
Demand
Req.
Hired
Jan.
11,000
15,000
(11000×4)=44,000
60,000
Feb.
152
394
32,000
25,000
March
128,000
April
May
June
30,000
14.500
127,500
597
485
Hours Required
Regular Hours
azailable
44,000
59,888
127,848
99,960
119,856
57.920
509,472
Total cost = Total regular hour cost + Overtime cost + production cost + Hiring cost + Firing costs
Orertime Hours
44,000
60,000
128,000
112
152
100,000
40
120,000
58,000
144
80
528
Transcribed Image Text:Given the demand forecast, cost, and operating data shown below; evaluate the following production plans. $100 $110 $12 $18 Manufacturing cost per unit Subcontracting cost per unit Regular hourly wage rate Overtime hourly wage rate Regular hours per day per worker Labor hours per unit Layoff cost per worker Hiring cost per worker Inventory holding cost per unit per month Initial workforce 8 $500 $400 $2 250 Month Demand Working days 22 January February 11,000 15,000 19 March 32,000 21 21 April Мay June 25,000 30,000 14.500 a) Produce to meet demand by varying the size of the workforce. Satisfy demand for part-time work with overtime. Find the total cost. Workers Workers Fired Hr Available /Worker days×8 hr) (22x8)=176 | (44000/176)=250 Hours Workers Needed Month Demand Req. Hired Jan. 11,000 15,000 (11000×4)=44,000 60,000 Feb. 152 394 32,000 25,000 March 128,000 April May June 30,000 14.500 127,500 597 485 Hours Required Regular Hours azailable 44,000 59,888 127,848 99,960 119,856 57.920 509,472 Total cost = Total regular hour cost + Overtime cost + production cost + Hiring cost + Firing costs Orertime Hours 44,000 60,000 128,000 112 152 100,000 40 120,000 58,000 144 80 528
b) Produce with a fixed workforce of 500. Subcontract excess demand. Find the total cost.
500 workers available, total available hour in January is 176 * 500 = 88,000
4 hours required to produce one item, Total production in January: 88,000/4 = 22,000 units
Month
Demand
Hrs./Worker
Inventory
Worker Hr
500 * (Av hr)
(176×500) = 88000
76000
Production
Subcontracted
11,000
15,000
(units)
22,000
19,000
176
Jan.
Feb.
March
11,000
152
32,000
168
April
May
25,000
168
30,000
14,500
127,500
176
8000
June
160
5500
8,000
Total cost = Total production cost + Inventory cost + Subcontract costs
c) Produce with a fixed workforce of 400. Subcontract excess demand. Find the total cost.
400 workers available, total available hour in January is 176 * 400 = 70,400
Montb
Demand
Hrs./Worker
Worker Hr
Production
Insentory
Subcontracted
400 * (Av hr)
(176×400) = 70,400
Jan.
Feb.
11,000
176
17,600
15,200
6,600
15,000
152
March
32,000
168
8,400
Аprl
Мay
June
25,000
168
30,000
176
14,500
160
127.500
14,900
Total cost = Total production cost + Inventory cost + Subcontract costs
Transcribed Image Text:b) Produce with a fixed workforce of 500. Subcontract excess demand. Find the total cost. 500 workers available, total available hour in January is 176 * 500 = 88,000 4 hours required to produce one item, Total production in January: 88,000/4 = 22,000 units Month Demand Hrs./Worker Inventory Worker Hr 500 * (Av hr) (176×500) = 88000 76000 Production Subcontracted 11,000 15,000 (units) 22,000 19,000 176 Jan. Feb. March 11,000 152 32,000 168 April May 25,000 168 30,000 14,500 127,500 176 8000 June 160 5500 8,000 Total cost = Total production cost + Inventory cost + Subcontract costs c) Produce with a fixed workforce of 400. Subcontract excess demand. Find the total cost. 400 workers available, total available hour in January is 176 * 400 = 70,400 Montb Demand Hrs./Worker Worker Hr Production Insentory Subcontracted 400 * (Av hr) (176×400) = 70,400 Jan. Feb. 11,000 176 17,600 15,200 6,600 15,000 152 March 32,000 168 8,400 Аprl Мay June 25,000 168 30,000 176 14,500 160 127.500 14,900 Total cost = Total production cost + Inventory cost + Subcontract costs
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