Question: The JC company needs to develop an aggregate production plan for the six months from January to June. You have been commissioned to create the

The JC company needs to develop an aggregate production plan for the six months from January to June. You have been commissioned to create the plan. The following information are provided:

Demand and Working days

Jan Feb Mar Apr May Jun Total
Demand forecast 2,000 1,600 1,200 1,000 1,400 1,800 9,000
Number of working days 22 19 21 21 22 20 125
Costs
Materials

$100.00/unit

Inventory holding cost

$10.00/unit/month

Marginal cost of stockout

$20.00/unit/month

Marginal cost of subcontracting

$100.00/unit ( $200.00 subcontracting cost less $100.00 material savings)

Hiring and training cost

$300.00/worker

Layoff cost

$600.00/worker

Labor hours required 4/unit

Straight-time cost (first eight hours each day)

$10.00/hour

Overtime cost (time and a half)

$20.00/hour

Inventory
Beginning inventory 400 units
Safety stock

25% of month demand

Opening workforce 35 workers

What is the cost of each of the following production strategies?

  1. Produce exactly to meet demand; vary workforce (assuming opening workforce of 35 workers).

  2. Constant workforce of 35 workers: vary inventory and allow shortages only.

  3. Constant workforce of 35 workers: use overtime.

Notes: Use ROUND(number, 0) to round workers required to nearest integer number

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