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# exam-scan1 - IE398 Final Exam Name n-~ L 1.1 Problem(10...

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IE398 Final Exam Name: ? n)-~- L. 1.1 Problem (10 points) Formulate a LP to minimize the total cost of meeting the next three months' demands for each type of cake. r t-'t,t- vbV Answer. 0\ , [ v" l c. b.Kt.s Lt.--\- ry - ;. \$I; u'l COI"-t!- ~ , J. ~ f'-Cl::- ( -" ::: . ' f\,(Ulka-r\.{ i)-t e<>.\(e5 0\ t~ f ..lL-- \ -CJ- J- ~)J t<? T- dun'J ti ~ tC2-1 c~ C ttr etlJ < rt\ l(\ ."L i Cjtcr:j+ + ,11 OJIjt JE:-C tf-T J~C 'tc-'"\ 5.1= ~ 'Xj\ ~ dJ' + Ij\ If J~C Ij It-I t ((j-t = d~t + Tj t \fj&C vte- T \ t 11 , Ajt ,~jt ~o \f-j"C 'if+.(:: -'\ . ')'"t. J d<t" J [I

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, . IE398 Final Exam Name: ?ruf. L 1.2 Problem (15 points) Suppose that in any month Lee Sara has the option of not meeting demand. However, he must pay a penalty cost of \$3.60 for each cheesecake by which he does not meet his demand, and \$3.00 for each Black Forest cake by which he does not meet demand. (Parameter people: Let O'.j, j E C, be the per-cake penalty that Lee Sara must pay for not meeting demand for cake type j.) Formulate a LP . to minimize the total cost of meeting the next three months' demands for each type of cake plus the penalty costs for not meeting this demand. Answer. TI\t-~~cL ~'1'4 ~ob~ 'fjt:: =- t ~((o-~ ()~ +t pe- j&c' ~r ,dO ~ tMt-t d~eI...J ,*, t E-T . S J "'1:?- sl,,-t' ~~A- c.. r , r ~ - i:~ -f:G ~ 0.(- C~'t~~ CST ~ r- ..J ~ ~, 1\ ?:6tUcC- ~ '):jt~~ ? -rJ~ 1}/q V M'I r\ ~ L ~'-t ~-:t +-(r. T~t- + oZ j ' S J 't ) - ~J j J J j~ t~, s.t. 1jl jl -tTj\ \f-jc.. Tl"I +-1j-l: -=- jt + Tj"to \l-jt-C) oJ tc"- \ t IJ ji:;- T Sji:: djt \fJcC) I/t:(:'\ (*) "Xjt, jt( Tjtt 5jt?) If- J c ) IJ tfi:'\ ,
IE398 Final Exam Name: 1.3 Problem (10 points) Suppose that Lee Sara can only let his demand slip by 5 at the penalty costs described in Problem 1.2. If his demand slips by more than 5, he must pay the larger penalty costs of \$4.60 for each cheesecake and \$3.50 for each Black Forest cake. (Parameter people: Let Let tj, tEe be the maximum number

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exam-scan1 - IE398 Final Exam Name n-~ L 1.1 Problem(10...

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