ABX manufactures large freezers for grocery stores. ABX is presently trying to plan its production and inventory levels for the next six months. Because of seasonal fluctuations in utility and raw materials costs, the per unit cost of producing freezers varies from month to month-as does the demand for the products. Production capacity also varies from month to month due to differences in the number of working days, vacations, and scheduled maintenance and training. The following table summarizes the monthly production costs, demands, and production capacity that ABX's management expects to face over the next 6 months.

Practical Management Science
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ABX manufactures large freezers for grocery stores. ABX is presently trying to plan its
production and inventory levels for the next six months. Because of seasonal fluctuations in
utility and raw materials costs, the per unit cost of producing freezers varies from month to
month-as does the demand for the products. Production capacity also varies from month to
month due to differences in the number of working days, vacations, and scheduled
maintenance and training. The following table summarizes the monthly production costs,
demands, and production capacity that ABX's management expects to face over the next 6
months.
Unit Demanded
Month
Unit Production Cost $225
Maximum
Production
1
1,200
4,000
2
$250
3,000
3,200
3
$230
5,000
3,800
5
$275 $290
6,000
6
5,500 3,500 3,600
4,000
$260
3,000
The warehouse can hold a maximum of 5,500 units in inventory at the end of each month.
Management wants to keep at least 1,500 units in inventory as safety stock to balance
variations in demand. To maintain stable workforce, the company wants to produce no less
than one half of its maximum production capacity each month. The accounting department
estimates that the cost of carrying a unit in any month is approximately equal to 1.5% of the
unit production cost in the same month. ABX estimates the number of units carried in
inventory each month by averaging the beginning and ending inventory for each month.
Transcribed Image Text:ABX manufactures large freezers for grocery stores. ABX is presently trying to plan its production and inventory levels for the next six months. Because of seasonal fluctuations in utility and raw materials costs, the per unit cost of producing freezers varies from month to month-as does the demand for the products. Production capacity also varies from month to month due to differences in the number of working days, vacations, and scheduled maintenance and training. The following table summarizes the monthly production costs, demands, and production capacity that ABX's management expects to face over the next 6 months. Unit Demanded Month Unit Production Cost $225 Maximum Production 1 1,200 4,000 2 $250 3,000 3,200 3 $230 5,000 3,800 5 $275 $290 6,000 6 5,500 3,500 3,600 4,000 $260 3,000 The warehouse can hold a maximum of 5,500 units in inventory at the end of each month. Management wants to keep at least 1,500 units in inventory as safety stock to balance variations in demand. To maintain stable workforce, the company wants to produce no less than one half of its maximum production capacity each month. The accounting department estimates that the cost of carrying a unit in any month is approximately equal to 1.5% of the unit production cost in the same month. ABX estimates the number of units carried in inventory each month by averaging the beginning and ending inventory for each month.
What is the best total production and inventory cost?
Transcribed Image Text:What is the best total production and inventory cost?
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