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r (1) A company has estimated monthly demand for the forthcoming year. Recommend

ID: 1126265 • Letter: R

Question

r

(1) A company has estimated monthly demand for the forthcoming year.

Recommend an aggregate production plan for a company if the capacity and costs parameters of production are:

(1) Regular capacity of 450 units per month at production cost of $40 per unit.

(2) Overtime for excess requirements at an additional cost of $25 per unit up to a maximum of 100 units.

(3) Subcontract at an additional cost of $30 per unit with maximum of 150 units per month.

(4) Inventory carrying cost is $20 per unit-month. Assume beginning inventory of 250 units and the required ending inventory of 50 units. Show the effect of these inventories to the forecast numbers given in the table.

Optional: What is the total cost of your plan?

Month

Forecast

Quantities

Costs

Regular

Prod.

OT

Prod.

Inv.

Subcontract Qty.

Regular

Prod.

Cost

OT Cost

Inv. Cost

Subcontract Cost

1

400

2

400

3

800

4

600

5

800

6

600

7

300

8

400

9

700

10

800

11

800

12

600

Total

Month

Forecast

Quantities

Costs

Regular

Prod.

OT

Prod.

Inv.

Subcontract Qty.

Regular

Prod.

Cost

OT Cost

Inv. Cost

Subcontract Cost

1

400

2

400

3

800

4

600

5

800

6

600

7

300

8

400

9

700

10

800

11

800

12

600

Total

Explanation / Answer

Total

Total Cost is $320250

Month Forecast Quantities Costs Regular OT Inv. Subcontract Qty. Regular OT Cost Inv. Cost Subcontract Cost Prod. Prod. Prod. Cost 1 400 450 300 18000 6000 2 400 450 350 18000 7000 3 800 450 0 18000 4 600 450 100 0 50 18000 6500 3500 5 800 450 100 0 150 18000 6500 10500 6 600 450 100 0 50 18000 6500 3500 7 300 450 150 18000 3000 8 400 450 200 18000 4000 9 700 450 50 0 18000 3250 10 800 450 100 0 150 18000 6500 10500 11 800 450 100 0 150 18000 6500 10500 12 600 450 100 50 18000 6500 3500

Total

Total Cost is $320250

216000 42250 20000 42000 320250