$200,150,300,250,$ respectively, demand for the special small engine over the next five quarters

and $400$ pieces. The manufacturer supplying the engine as $180,230,430,300$ and $300$ for five quarters

have different estimated production capacities. Back order is not allowed but required

In some cases, the manufacturer may use overtime to meet immediate demand. Every period

overtime capacity is half of normal capacity. The corresponding production costs per unit for the five periods

are $100,96,116,102$ and $106$ US dollars.