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hw6 soln

# hw6 soln - IE 383 Assignment 7 solution a The weighted...

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IE 383 Assignment 7 solution a.) The weighted moving averages are calculated as follows: t Demand WMA 1 4025 - 2 3200 - 3 3145 - 4 3775 - 5 3952 0.4*3775+0.3*3145+0.2*3200+0.1*4025=3496 6 3542 3662.3 7 3525 3671.9 8 3121 3640.5 9 3409.5 1 0 3359.3 1 1 3343.27 b.) = . α 0 4 = = . a'1 Y'1 8 30 = - - =- . b1 Y'8 Y'18 1 0 0362 = - - = . Y'1 a'1 b11 αα 8 354 = - * Y'1 a'1 2 b1 - = . 1 αα 8 409 t ’( ) Y t * ( ) α Y' t ( - )* 1 α ( - ) Y' t 1 ( ) Y' t * α ( ) Y' t (1- )* - α Y't 1 Y't 1.00 8.30 8.354 8.409 2.00 8.071 3.228 5.012 8.24 3.296 5.045 8.341 3.00 8.054 3.222 4.944 8.166 3.266 5.005 8.271 4.00 8.236 3.294 4.900 8.194 3.278 4.963 8.241 5.00 8.282 3.313 4.916 8.229 3.292 4.945 8.237 6.00 8.172 3.269 4.937 8.206 3.282 4.942 8.224 7.00 8.168 3.267 4.924 8.191 3.276 4.934 8.21 8.00 8.046 3.218 4.915 8.133 3.253 4.926 8.179 = - - = . Y'8 a'8 b81 αα 8 133 = - * Y'8 a'8 2 b8 - = . 1 αα 8 179 = . =- . a'8 8 087 b8 0 0307 = Y'9 + - = a'8 b89 8 . 8 056 = . Y9 3152 654 = Y'10 + - a'8 b810 8 = . 8 026 = . Y10 3059 480 = Y'11 + - a'8 b811 8 = . 7 995 = . Y11 2966 09 Problem 2 The forecasted demands for the next 10 months are given below.

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Month Demand Working Days Jan 16,000 21 Feb 18,000 22 March 15,000 20 April 30,000 22 May 28,000 21 Jun 20,000 20 July 10,000 22 August 25,000 20 September 20,000 21 Oct 26,000 23 Hiring 700 \$ per person Firing 1000 \$ per person Overtime 20 \$ per unit Regular Production 15 \$ per unit Subcontract 24 \$ per unit Inventory 2 \$ per unit per month There are currently 60 workers employed regularly for 8 hours/day. Maximum overtime allowed is 3 hours per day.
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hw6 soln - IE 383 Assignment 7 solution a The weighted...

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