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Jordan Enterprises is the largest maker and distributor of smart phones in the world, and is planning its production for next year. Jordan's monthly demand forecasts are shown in the following table:

Month

Demand (Thousands)

January

1100

February

1200

March

1050

April

1200

May

1400

June

1200

July

1000

August

800

September

1200

October

1600

November

1800

December

1300

Jordan's production is hand-assembly, which is labor intensive, and represents the largest limiting factor in its production capacity. Component costs for each Smartphone are $20 per unit. The facility works 8 hours per day, 20 days per month. Each worker can assemble a Smartphone in 12 minutes, on average, and are paid $25 per hour, with the usual time-and-a-half pay for overtime work. Jordan currently employs 1,500 production workers.

Jordan's inventory holding cost are $5 per Smartphone per month, and is starting off with an inventory of 50,000 Smartphone's, which is what the ending inventory must be as well. Overtime cannot exceed 20 hours per month per employee, and there is a policy that there can be no layoffs of employees.

1.) What is the optimum production schedule, if we assume that there can be no hires, no backlogs, and no subcontracting? What is the cost of this schedule?

2.) Does it help with the schedule in question 1 above if we increase the overtime limit to 35 hours per employee per month?

3.) Reconsider #s 1 and 2 assuming that Jordan starts with only 1350 employees. What about 1200 employees? Does the addition of more overtime become important if we decrease the workforce?

4.) Reconsider #1 assuming a "level" approach to scheduling production. In this approach, the quantity produced must not exceed the average demand by more than 50,000 units. What is the cost of this approach compared to the "chase" approach used in #1? Does overtime become important here?

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