Question
Your firm manufactures Bluetooth headphones. Its demand forecasts for 2021 are as follows: Month Demand Jan 140,000 Feb 78,900 Mar 85,800 Apr 89,100 May 123,600
Your firm manufactures Bluetooth headphones. Its demand forecasts for 2021 are as follows:
Month | Demand |
Jan | 140,000 |
Feb | 78,900 |
Mar | 85,800 |
Apr | 89,100 |
May | 123,600 |
Jun | 136,350 |
Jul | 120,450 |
Aug | 106,950 |
Sep | 121,950 |
Oct | 135,750 |
Nov | 87,000 |
Dec | 93,300 |
Each worker can produce 900 products per month and is paid $1500 per month. Assume that at the end of December 2020, the company has 100 employees working on the production line. Hiring and layoff (firing) decisions are made at the beginning of each month, and associated costs are charged at that time. It costs the company $400 to hire and $800 to lay off a worker. A new hire produces the products at the same rate as an experienced worker. Workers do not work overtime.
The company incurs holding cost for the amount of ending inventory in each month, and incurs backorder cost at the end of each month for any unfilled orders. The company incurs $4 per unit backorder and $2 per month for holding one unit in inventory. All backorders must be fulfilled no later than the end of December 2021.
1. Under the level production plan, what is the total cost?
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