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${{Q}^{*}}=\sqrt{\frac{2DS}{H}}=\sqrt{\frac{2\times 15,000\times 82}{0.40}}=2,479.919\approx 2,480$
 Data Demand rate, D 15000 Setup cost, S 82 Holding cost, H 0.4 Unit Price, P 40 Daily demand rate 41.09589041 Lead time in days Results Optimal Order Quantity, Q* 2479.919354 Maximum Inventory 2479.919354 Average Inventory 1239.959677 Number of Setups 6.048583789 Holding cost $495.98 Setup cost$495.98 Unit costs $600,000.00 Total cost, Tc$600,991.97 Reorder Point 0

$TC=\frac{D}{{{Q}^{*}}}S+\frac{{{Q}^{*}}}{2}H=495.98$ $TC=\frac{D}{Q}S+\frac{Q}{2}H=1430$
 Inventory Production Order Quantity Model Data Demand rate, D 5700 Setup cost, S 500 Holding cost, H 0.4 Daily production rate, p 78 Daily demand rate, d 22.8 Unit price, P 48 Results Optimal production quantity, Q* 4487.301 Maximum Inventory 3175.628 Average Inventory 1587.814 Number of Setups 1.270251 Holding cost 635.1257 Setup cost 635.1257 Unit costs 273600 Total cost, Tc 274870.3

${{Q}^{*}}=\sqrt{\frac{2DS}{H\left( 1-\frac{D}{P} \right)}}=\sqrt{\frac{2\times 5,700\times 500}{0.4\left( 1-\frac{5700}{195\times 100} \right)}}=4,487.301$

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