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Operations and Supply Chain Management The Core

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256 OPERATIONS AND SUPPLY CHAIN MANAGEMENT

PRODUCTION PLAN 2: CONSTANT WORKFORCE; VARY INVENTORY AND STOCK-OUT

JANUARY FEBRUARY MARCH APRIL MAY JUNE TOTAL

Beginning inventory 200 140 −80 −310 −690 −1150

Working days per month 22 19 21 21 22 20

Production hours available

(Working days per month ×

8 hr./day × 10 workers)* 1,760 1,520 1,680 1,680 1,760 1,600

Actual production (Production

hours available/4 hr./unit) 440 380 420 420 440 400

Demand forecast 500 600 650 800 900 800

Ending inventory (Beginning

inventory + Actual

production − Demand

forecast) 140 −80 −310 −690 −1,150 −1,550

Shortage cost (Units short

× $20) $0 $1,600 $6,200 $13,800 $23,000 $31,000 $75,600

Safety stock 0 0 0 0 0 0

Units excess (Ending

inventory − Safety stock;

only if positive amount) 140 0 0 0 0 0

Inventory cost (Units excess

× $10) $1,400 $0 $0 $0 $0 $0 $1,400

Straight-time cost

(Production hours

available × $12.50) $22,000 $19,000 $21,000 $21,000 $22,000 $20,000 $125,000

*Assume a constant workforce of 10.

Total cost $202,000

PRODUCTION PLAN 3: CONSTANT WORKFORCE; SUBCONTRACT

JANUARY FEBRUARY MARCH APRIL MAY JUNE TOTAL

Production requirement 300 460† 650 800 900 800

Working days per month 22 19 21 21 22 20

Production hours available

(Working days ×

8 hr./day × 10 workers)* 1,760 1,520 1,680 1,680 1,760 1,600

Actual production

(Production hours

available/4 hr./unit) 440 380 420 420 440 400

Units subcontracted

(Production requirements

− Actual production) 0 80 230 380 460 400

Subcontracting cost (Units

subcontracted × $100) $0 $8,000 $23,000 $38,000 $46,000 $40,000 $155,000

Straight-time cost

(Production hours

available × $12.50) $22,000 $19,000 $21,000 $21,000 $22,000 $20,000 $125,000

*Assume a constant workforce of 10.

†600 − 140 units of beginning inventory in February.

Total cost $280,000

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