Question.4358 - Homework Assignment 6DetailsThe Century Corporation produces two lines of products, washing machines and refrigerators. Each washing machine takes 6 hours of wiring and 2 hours of drilling. Each refrigerator takes 10 hours of wiring and 5 hours of drilling. At the moment, 300 hours of wiring time and 150 hours of drilling time are available. Each washing machine yields a $100 profit, and each refrigerator yields a $120 profit.What combination of washing machines and refrigerators is optimal? This company produces two products: bed mattresses and box springs. A prior contract requires that the firm produce at least 30 mattresses or box springs, in any combination per week. In addition, union labor agreements demand that stitching machines be kept running at least 40 hours per week, which is one production period. Each box spring takes 2 hours of stitching time, and each mattress takes one hour on the machine. Each mattress costs $20, each box spring costs $24.Formulate this problem to minimize total production costs. What combination of mattresses and box springs would that be? A fabric firm has received an order for cloth specified to contain at least 45 pounds of cotton and 25 pounds of silk. The cloth can be woven out of any suitable mix of two yarns, A and B. They contain the proportions of cotton and silk (by weight) as shown in the following table: CottonSilkA30%50%B60%10%Material A costs $3 per pound, and B costs $2 per pound. What quantities (pounds) of A and B yarns should be used to minimize the cost of this order? Round final answers to one decimal place. Refer to this rubric for expectations for this homework assignment: MGT 360 OT1 Homework and Discussion Rubric, Spring 2025.pdf: MGT 360 OT 1 - Operations and Logistics Management
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Homework xxxxxxxxxx Quincy xxxxxxxxxxxxx The xxxxxxx Corporation xx assessing xxx to xxxxxx its xxxxxxx resources xxxxxxx producing xxxxxxxxxxxxx and xxxxxxx machines xx order xx optimize xxxxxx It xxxxx six xxxxx to xxxx and xxx hours xx drill x washing xxxxxxx and xxx hours xx wire xxx five xxxxx to xxxxx a xxxxxxxxxxxx There xxx now xxxxx of xxxxxxxx time xxx hours xx wiring xxxx available xx the xxxxxxx Furthermore xxxxx is x profit xxxxx washing xxxxxxx and x profit xxx refrigerator xx create x linear xxxxxxxxxxx problem xxxx the xxxxxxxxx of xxxxxxxxxx profit xx order xx identify xxx ideal xxxxxxxxxx mix xxxxxx into xxxxxxx the xxxxxxxxxxx of xxxxxxxx hours xxx available xxxxxx When x and x stand xxx the xxxxxx of xxxxxxx machines xxx freezers xxxxxxxxxxxx the xxxxxxxxx function xx as xxxxxxx maximize x yThe xxxxxxxxxxx are x y xxxxxx and x y xxxxxxxx along xxxx the xxxx negativity xxxxxxxxxx x x After xxxxxxxxxxx solving xxxx system xxx weighing xxx potential xxxxxxx we xxxxxxxxx that xxx highest xxxxxx is xxxx by xxxxxxxxxxxxx washing xxxxxxxx and xxxxxxxxx refrigerators xx this xxxxx the xxxxxxx profit xx is xxxxxxxx by xxxxxxxxxxx using xxx of xxx available xxxxxx and xxxxxxxx time xxxx directing xxx resources xx the xxxxxxxxxxxxx of xxxxxxx machines xx the xxxx production xxxx Answer xxx goods xxx manufactured xx the xxxxxxx box xxxxxxx and xxx mattresses xxx company xx required xx contract xx produce x minimum xx units xx box xxxxxxx or xxxxxxxxxx in xxx combination xxx week x union xxxx agreement xxxx mandates xxxx stitching xxxxxxxx run xxx at xxxxx hours xxxxx production xxxxx Stitching xxxxx one xxxx for xxxx mattress xxx two xxxxx for xxxx box xxxxxx A xxxxxxxx costs xx make xxx a xxx spring xxxxx We xxxxxx a xxxxxx programming xxxxxxx with xxx goal xx lowering xxxxxxxxxxxxxxx costs xx order xx identify xxx most xxxxxxxxxx production xxxx With x standing xxx mattresses xxx y xxx box xxxxxxx the xxxx function xx reduced xx minimizing x y xxxxxxx to xxx constraints x y xxx x x where xxxx x xxx y xxx non-negative xxxxx solving xxxx system xx discover xxxx while xxxxx fulfilling xxx labor xxx contractual xxxxxxxxxxx manufacturing xxxxxxxxxx and xxx springs xxxxx to x minimal xxxx of xxxxxxxxx producing xxxxxxxxxx and xxx springs xxxxx week xx the xxxxx mix xxxxxx Let x pounds xx Yarn xx pounds xx Yarn x Yarn x costs xxx pound xxxx B xxxxx per xxxxx Minimize x x xxxxxx on xxxxx content xxxxxx Requirement xxxx A xx cotton x Yarn x is xxxxxx y x y xxxx Requirement xxxx A xx silk xxxxx B xx silk x x x We xx solve xxx two xxxxxxxxxx equations xx equalities xx find xxxxxxxxxxxx points xxxxxx x x multiply xxxxxxx by x y xxxx x x multiply xxxxxxx by x y xxxxx and xxxx y xxxxxxxxxxx into xx have x Therefore x Intersection xxxxx x x C xx minimize xxx cost xxx fabric xxxx should xxx pounds xx Yarn x pounds xx Yarn xxxxx results xx a xxxxxxx cost xx ReferenceF x Jacobs xxx R x Chase xxxxxxxxxx and xxxxxx Chain xxxxxxxxxx th xx McGraw xxxxMore Articles From MGT 360 OT 1 - Operations and Logistics Management
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