Question
Chip Hoose Wheels has just received orders for 1,000 standard wheels and 1,250 deluxe wheels next month and for 800 standard and 1,500 deluxe the
Chip Hoose Wheels has just received orders for 1,000 standard wheels and 1,250 deluxe wheels next month and for 800 standard and 1,500 deluxe the following month. All orders must be filled.
Wheels can be made during regular times and overtime. The unit cost of making standard wheels during regular times is $10 and that of deluxe wheels is $16. Overtime rates are 50% higher that those in regular times.
There are 1,000 hours of regular time and 500 hours of overtime available each month. It takes 0.5 hours to make a standard wheel and 0.6 hours to make a deluxe wheel.
In case of overproduction in the first month, the wheels can be stocked to fulfil next month's demand. The cost of storing a wheel from one month to the next is $2. The company needs to decide the optimal product quantities for both regular time and overtime in each month to minimize the total cost.
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