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Demand for Sweet Tooth Limited follows a seasonal pattern - growing through the fall months and culminating in December, with small peaks in January (for

Demand for Sweet Tooth Limited follows a seasonal pattern - growing through the fall months and culminating in December, with small peaks in January (for after-season mark-downs, exchange, and accessory purchases) and July (for Christmas-in-July specials).

Month

Demand (cases)

Month

Demand (cases)

January

1000

July

500

February

400

August

500

March

400

September

1000

April

400

October

1500

May

400

November

2500

June

400

December

3000

Each worker can produce on average 100 cases of cakes each month. Overtime is limited to 300 cases and subcontracting is unlimited. No cases of cakes are currently in inventory. The wage rate is $10 per case for regular production, $15 for overtime production, and $25 for subcontracting. No stock out is allowed. Holding cost is $1 per case per month. Increasing the workforce costs approximately $1,000 per worker. Decreasing the workforce costs $500 per worker. Management would like to know the cost for the following scenarios

QUESTION 1

The cost for the level production over the 12 months. (7 marks)

QUESTION 2

The cost to produce to meet demand each month. (7 marks)

QUESTION 3

The cost to increase or decrease the workforce in five-worker increments. (6 marks)

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