Plan production for a four-month period: February through May.  For February and March, you should produce to exact demand forecast.  For April and May, you should use overtime and inventory with a stable workforce; stable means that the number of workers needed for March will be held constant through May.  However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March). If demand exceeds supply, then backorders occur.  There are 100 workers on January 31.  You are given the following demand forecast: February, 90,000; March 65,000; April 110,000; May, 55,000.  Productivity is four units per worker hour, eight hours per day, 20 days per month.  Assume zero inventory on February 1.  Costs are hiring, $50 per new worker; layoff, $70 per worker laid off; inventory holding, $10 per unit-month; straight-time labor, $10 per hour; overtime, $15 per hour; backorder, $20 per unit a. Find the total cost of this plan?

Marketing
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ISBN:9780357033791
Author:Pride, William M
Publisher:Pride, William M
Chapter19: Pricing Concepts
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Plan production for a four-month period: February through May.  For February and March, you should produce to exact demand forecast.  For April and May, you should use overtime and inventory with a stable workforce; stable means that the number of workers needed for March will be held constant through May.  However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March). If demand exceeds supply, then backorders occur.  There are 100 workers on January 31.  You are given the following demand forecast: February, 90,000; March 65,000; April 110,000; May, 55,000.  Productivity is four units per worker hour, eight hours per day, 20 days per month.  Assume zero inventory on February 1.  Costs are hiring, $50 per new worker; layoff, $70 per worker laid off; inventory holding, $10 per unit-month; straight-time labor, $10 per hour; overtime, $15 per hour; backorder, $20 per unit

a. Find the total cost of this plan?

 

Relevant information includes:
Backorder cost per unit
Holding cost per unit
Number of workers at the end of
ܢܢܫܒܢܢܩܒܠ
Hiring cost per worker
Layoff cost per worker
Production time (hours) per unit
Straight time labor cost per hour
Overtime labor cost per hour
Working time (hrs/day)
Work days per month
Beginning inventory
Total production (Production hours
required Production time per unit)
Ending Inventory (Beginning inventory
+ Actual production - Demand forecast)
Ending backorders
Workers hired
Workers laid off
Straight Time (Production hrs available x
Straight time labor cost)
Overtime
Inventory cost
Backorder cost
$20.00
$10.00
100
$50.00
$70.00
0.25
Hiring cost
Layoff cost
Total costs
$10.00
$15.00
8.00
Aggregate Production Planning Requirements
Time Period
Forecast
Beginning Inventory
Production Required (Forecast -
Beginning inventory)
Production hours required (# units
Production Time per unit)
Regular workforce
Regular production (Production hrs
available Labor hrs required per unit)
Overtime hours
Overtime production
20.00
0
February March
April
Total Cost
May
Transcribed Image Text:Relevant information includes: Backorder cost per unit Holding cost per unit Number of workers at the end of ܢܢܫܒܢܢܩܒܠ Hiring cost per worker Layoff cost per worker Production time (hours) per unit Straight time labor cost per hour Overtime labor cost per hour Working time (hrs/day) Work days per month Beginning inventory Total production (Production hours required Production time per unit) Ending Inventory (Beginning inventory + Actual production - Demand forecast) Ending backorders Workers hired Workers laid off Straight Time (Production hrs available x Straight time labor cost) Overtime Inventory cost Backorder cost $20.00 $10.00 100 $50.00 $70.00 0.25 Hiring cost Layoff cost Total costs $10.00 $15.00 8.00 Aggregate Production Planning Requirements Time Period Forecast Beginning Inventory Production Required (Forecast - Beginning inventory) Production hours required (# units Production Time per unit) Regular workforce Regular production (Production hrs available Labor hrs required per unit) Overtime hours Overtime production 20.00 0 February March April Total Cost May
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ISBN:
9780357033791
Author:
Pride, William M
Publisher:
South Western Educational Publishing