12 points Fashionables sells different colors of sweaters Demand for each color during the season is normally distributed with a mean of 850 and a standard deviation of 340 Further, you may assume that the demands for each sweater are independent of those for a different color. The UnLimited offers the sweaters to Fashionables at the wholesale price of $24 per sweater and Fashionables plans to sell each sweater at the retail price of $58 per unit. The Unlimited does not accept any returns of unsold inventory However, Fashionables can sell all of the unsold sweaters at the end of the season at a lire-sale price of $20 each Round your answer to 2 digits after the desimal point if it is not an integer, Do NOT use.comma in your numeric answers. For each color of sweaters, the maximum proftis 5 For each color of sweaters, if Fashionables orders 900, then the in-stock probability will be the expected leftover Inventory will be the expected profit will be and the mismatch cost will be use the standard normal table below) For each color of sweater, the average cost is The underage cost is 5 and the critical ratio is For each color of sweaters Fashionables should order to maximize its expeded profit. In such case for each color of sweaters, the expected leftover inventory will be the expected sales will be and the expected profit will be s (use the standard normal table below) k(2) Z F(2) Iz) z Fiz) 2) F42) .0000 -4.0 -1,3 0968 .0455 1.4 9192 1.4367 .0000 .0000 -39 .0000 -1.2 1151 0561 1.5 19332 1.5293 -3.8 .0001 .0000 -1.1 ..1357 .0686 1.6 9452 1.6232 -3.7 .0001 20000 -1.0 1587 .0833 1.7 9554 1.7183 -3.6 20002 .0000 -0.9 1841 -1004 1.8 9641 1.8143 -3.5 0002 .0001 -0.8 2119 .1202 1.9 .9713 1.9111 -3.4 0003 .0001 -0.7 .2420 .1429 2.0 9772 2.0085 -3.3 0005 .0001 -0.6 2743 -1687 2.1 .9821 2. 1065 -32 .0007 .0002 -0.5 :3085 .1978 2.2 2.2049 9861 .9893 -31 .0010 .0003 -0.4 13446 2304 2.3 2.3037 -3.0 .0004 -0.3 3821 2668 2.4 9918 2.4027 .0013 0019 -2.9 -02 .4207 3069 2.5 9938 2.5020 .0005 .000B -2.8 .0026 -0.1 4602 3509 2.6 9953 2.6015 27 .0035 0011 . 5000 3989 2.7 9965 27011 .0047 0015 .1 4509 2.8 -2.6 --2.5 9974 2.8008 5398 5793 0062 2 5069 2.9 0020 .0027 9981 2.9005 -24 0082 3 6179 5668 3.0 9987 3.0004 --23 4 6554 6304 3.1 9990 0107 0139 0037 0049 3.1003 22 5 6915 6978 3.2 9993 3.2002 -2.1 0179 .0065 7257 7687 3.3 3.3001 - 2.0 0228 9995 9997 0085 7 .7580 8429 3.4 3.4001 -1.9 0287 0111 8 7881 9202 3.5 9998 3.5001 0111 .8 7881 9202 3.5 9998 3.5001 0287 0359 -1.8 9 8159 1.0004 9998 3.6000 0143 0183 0440 1.0 1.0833 3.7 8413 8643 9999 9999 3.7000 3.8000 -1.6 .0548 .0232 1.1 1.1686 3.8 -1.5 0293 1.2 30 1.0000 39000 0660 OBOB 8849 9032 1.2561 1.3455 0367 4.0 1.0000 40000 12 points Fashionables sells different colors of sweaters Demand for each color during the season is normally distributed with a mean of 850 and a standard deviation of 340 Further, you may assume that the demands for each sweater are independent of those for a different color. The UnLimited offers the sweaters to Fashionables at the wholesale price of $24 per sweater and Fashionables plans to sell each sweater at the retail price of $58 per unit. The Unlimited does not accept any returns of unsold inventory However, Fashionables can sell all of the unsold sweaters at the end of the season at a lire-sale price of $20 each Round your answer to 2 digits after the desimal point if it is not an integer, Do NOT use.comma in your numeric answers. For each color of sweaters, the maximum proftis 5 For each color of sweaters, if Fashionables orders 900, then the in-stock probability will be the expected leftover Inventory will be the expected profit will be and the mismatch cost will be use the standard normal table below) For each color of sweater, the average cost is The underage cost is 5 and the critical ratio is For each color of sweaters Fashionables should order to maximize its expeded profit. In such case for each color of sweaters, the expected leftover inventory will be the expected sales will be and the expected profit will be s (use the standard normal table below) k(2) Z F(2) Iz) z Fiz) 2) F42) .0000 -4.0 -1,3 0968 .0455 1.4 9192 1.4367 .0000 .0000 -39 .0000 -1.2 1151 0561 1.5 19332 1.5293 -3.8 .0001 .0000 -1.1 ..1357 .0686 1.6 9452 1.6232 -3.7 .0001 20000 -1.0 1587 .0833 1.7 9554 1.7183 -3.6 20002 .0000 -0.9 1841 -1004 1.8 9641 1.8143 -3.5 0002 .0001 -0.8 2119 .1202 1.9 .9713 1.9111 -3.4 0003 .0001 -0.7 .2420 .1429 2.0 9772 2.0085 -3.3 0005 .0001 -0.6 2743 -1687 2.1 .9821 2. 1065 -32 .0007 .0002 -0.5 :3085 .1978 2.2 2.2049 9861 .9893 -31 .0010 .0003 -0.4 13446 2304 2.3 2.3037 -3.0 .0004 -0.3 3821 2668 2.4 9918 2.4027 .0013 0019 -2.9 -02 .4207 3069 2.5 9938 2.5020 .0005 .000B -2.8 .0026 -0.1 4602 3509 2.6 9953 2.6015 27 .0035 0011 . 5000 3989 2.7 9965 27011 .0047 0015 .1 4509 2.8 -2.6 --2.5 9974 2.8008 5398 5793 0062 2 5069 2.9 0020 .0027 9981 2.9005 -24 0082 3 6179 5668 3.0 9987 3.0004 --23 4 6554 6304 3.1 9990 0107 0139 0037 0049 3.1003 22 5 6915 6978 3.2 9993 3.2002 -2.1 0179 .0065 7257 7687 3.3 3.3001 - 2.0 0228 9995 9997 0085 7 .7580 8429 3.4 3.4001 -1.9 0287 0111 8 7881 9202 3.5 9998 3.5001 0111 .8 7881 9202 3.5 9998 3.5001 0287 0359 -1.8 9 8159 1.0004 9998 3.6000 0143 0183 0440 1.0 1.0833 3.7 8413 8643 9999 9999 3.7000 3.8000 -1.6 .0548 .0232 1.1 1.1686 3.8 -1.5 0293 1.2 30 1.0000 39000 0660 OBOB 8849 9032 1.2561 1.3455 0367 4.0 1.0000 40000