PA 13-4 (Algo) Fashionables is a franchisee of The Unlimited, the... Fashionables is a franchisee of The Unlimited, the well-known retailer of fashionable clothing. Prior to the winter season, The Unlimited offers Fashionables the choice of five different colors of a particular sweater design. The sweaters are knit overseas by hand; because of the lead times involved, Fashionables will need to order its assortment in advance of the selling season. As per the contracting terms offered by The Unlimited, Fashionables will also not be able to cancel, modify, or reorder sweaters during the selling season. Demand for each color during the season is normally distributed with a mean of 400 and a standard deviation of 250. Further, you may assume that the demands for each sweater are independent of those for a different color. Use Table 13.4 The Unlimited offers the sweaters to Fashionables at the wholesale price of $36 per sweater, and Fashionables plans to sell each sweater at the retail price of $66 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 the fire-sale price of $25 each. If a part of the question specifies whether to use Table 13.4, or to use Excel, then credit for a correct answer will depend on using the specified method. How many units of each sweater type should Fashionables order to maximize its " expected profit? Use Table 13.4. If Fashionables wishes to ensure a 97.5 percent in-stock probability, what should its order quantity be for each type of sweater? Use Table 13.4. Say Fashionables orders 750 of each sweater. What is Fashionables' expected C-profit? Use Table 13.4. Say Fashionables orders 750 of each sweater. What is the stockout probability for each sweater? Use Excel. (Round your answer to 4 decimal places.) TABLE 13.4 The Distribution, FQ), and Expected Inventory, IQ)Functions for the Standard Normal Distribution Function (2) 1(z) Fiz) .0000 z -1.3 F(2) .0968 -4.0 .0000 .0455 F(z) 9192 .9332 (2) 1.4367 1.5293 -3.9 .0000 -1.2 1151 1.5 .0561 .0686 -3.8 .0000 -1.1 .1357 1.6 .9452 1.6232 -3.7 .0000 1587 .0833 1.7 .9554 1.7183 -1.0 -0.9 -3.6 .0000 .1841 1.8 9641 1.8143 -3.5 .0001 2119 .9713 1.9111 .0000 .0001 .0001 .0002 .0002 .0003 .0005 .0007 .0010 .0013 -0.8 -0.7 .1004 1202 1429 1687 -3.4 .0001 .9772 2.0085 -3.3 .0001 -0.6 2420 2743 .3085 .9821 2.1065 1.9 2.0 2.1 22 2.3 2.4 -3.2 .0002 -0.5 .1978 .9861 2.2049 .0003 -0.4 .3446 .9893 2.3037 -3.1 -3.0 .0004 3821 2304 .2668 3069 .9918 2.4027 -2.9 .0019 .0005 4207 25 9938 2.5020 -0.3 -0.2 -0. 1 .0 -2.8 .0026 4602 .3509 19953 2.6015 -2.7 .0035 .0008 .0011 .0015 .0047 .5000 3989 .5398 4509 .57935069 .0020 -2.6 -2.5 -24 -2.3 -22 .0062 .0082 .0107 2.6 2.7 2.8 2.9 3.0 3.1 3.2 .9965 2.7011 .9974 2.8008 .9981 2.9005 .99873.0004 9990 3.1003 9993 3.2002 .0027 3 6179 5668 .0037 .6304 .0139 .0049 .6978 -2.1 0179 .0065 .7687 3.3 .9995 3.3001 -2.0 0228 .0085 .8429 3.4 -1.9 .0287 .0111 8 3.5 .6554 .6915 7257 .7580 7881 8159 8413 .8643 8849 .9032 .9997 .9998 .9998 3.4001 3.5001 3.6000 -1.8 .0359 0143 9 3.6 -1.7 .0446 .0183 .9202 1.0004 1.0833 1.1686 1.2561 3.7 .9999 3.7000 -1.6 0548 1.0 1.1 1.2 0232 -1.5 0668 0808 .0293 0367 3.8 3.9 4.0 .9999 1.0000 1.0000 3.8000 3.9000 4.0000 -1.4 1.3 1.3455 PA 13-4 (Algo) Fashionables is a franchisee of The Unlimited, the... Fashionables is a franchisee of The Unlimited, the well-known retailer of fashionable clothing. Prior to the winter season, The Unlimited offers Fashionables the choice of five different colors of a particular sweater design. The sweaters are knit overseas by hand; because of the lead times involved, Fashionables will need to order its assortment in advance of the selling season. As per the contracting terms offered by The Unlimited, Fashionables will also not be able to cancel, modify, or reorder sweaters during the selling season. Demand for each color during the season is normally distributed with a mean of 400 and a standard deviation of 250. Further, you may assume that the demands for each sweater are independent of those for a different color. Use Table 13.4 The Unlimited offers the sweaters to Fashionables at the wholesale price of $36 per sweater, and Fashionables plans to sell each sweater at the retail price of $66 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 the fire-sale price of $25 each. If a part of the question specifies whether to use Table 13.4, or to use Excel, then credit for a correct answer will depend on using the specified method. How many units of each sweater type should Fashionables order to maximize its " expected profit? Use Table 13.4. If Fashionables wishes to ensure a 97.5 percent in-stock probability, what should its order quantity be for each type of sweater? Use Table 13.4. Say Fashionables orders 750 of each sweater. What is Fashionables' expected C-profit? Use Table 13.4. Say Fashionables orders 750 of each sweater. What is the stockout probability for each sweater? Use Excel. (Round your answer to 4 decimal places.) TABLE 13.4 The Distribution, FQ), and Expected Inventory, IQ)Functions for the Standard Normal Distribution Function (2) 1(z) Fiz) .0000 z -1.3 F(2) .0968 -4.0 .0000 .0455 F(z) 9192 .9332 (2) 1.4367 1.5293 -3.9 .0000 -1.2 1151 1.5 .0561 .0686 -3.8 .0000 -1.1 .1357 1.6 .9452 1.6232 -3.7 .0000 1587 .0833 1.7 .9554 1.7183 -1.0 -0.9 -3.6 .0000 .1841 1.8 9641 1.8143 -3.5 .0001 2119 .9713 1.9111 .0000 .0001 .0001 .0002 .0002 .0003 .0005 .0007 .0010 .0013 -0.8 -0.7 .1004 1202 1429 1687 -3.4 .0001 .9772 2.0085 -3.3 .0001 -0.6 2420 2743 .3085 .9821 2.1065 1.9 2.0 2.1 22 2.3 2.4 -3.2 .0002 -0.5 .1978 .9861 2.2049 .0003 -0.4 .3446 .9893 2.3037 -3.1 -3.0 .0004 3821 2304 .2668 3069 .9918 2.4027 -2.9 .0019 .0005 4207 25 9938 2.5020 -0.3 -0.2 -0. 1 .0 -2.8 .0026 4602 .3509 19953 2.6015 -2.7 .0035 .0008 .0011 .0015 .0047 .5000 3989 .5398 4509 .57935069 .0020 -2.6 -2.5 -24 -2.3 -22 .0062 .0082 .0107 2.6 2.7 2.8 2.9 3.0 3.1 3.2 .9965 2.7011 .9974 2.8008 .9981 2.9005 .99873.0004 9990 3.1003 9993 3.2002 .0027 3 6179 5668 .0037 .6304 .0139 .0049 .6978 -2.1 0179 .0065 .7687 3.3 .9995 3.3001 -2.0 0228 .0085 .8429 3.4 -1.9 .0287 .0111 8 3.5 .6554 .6915 7257 .7580 7881 8159 8413 .8643 8849 .9032 .9997 .9998 .9998 3.4001 3.5001 3.6000 -1.8 .0359 0143 9 3.6 -1.7 .0446 .0183 .9202 1.0004 1.0833 1.1686 1.2561 3.7 .9999 3.7000 -1.6 0548 1.0 1.1 1.2 0232 -1.5 0668 0808 .0293 0367 3.8 3.9 4.0 .9999 1.0000 1.0000 3.8000 3.9000 4.0000 -1.4 1.3 1.3455