please help me with Question 3 thanks! 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 last year, 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. 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 $2 per month for holding one unit in inventory and $4 per unit backorder. 1 Prepare a level aggregate plan. Under this level aggregate plan, how many workers are required in each month? 123 2 How many workers need to be hired in the start of the planning horizon? 23 3 Under the level production plan, what is the total cost? please help me with Q3 thanks!

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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please help me with Question 3 thanks!

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 last year, 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.

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 $2 per month for holding one unit in inventory and $4 per unit backorder.

1 Prepare a level aggregate plan. Under this level aggregate plan, how many workers are required in each month? 123

2 How many workers need to be hired in the start of the planning horizon? 23

3 Under the level production plan, what is the total cost?

please help me with Q3 thanks!

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