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A linear orogramming cemputer package is needed, hext two months. Macigemeot wants to develop a production schedule indicating how mady bicycles of rach model should be preduced In each month. Current demand forecasts cas for 150 meh's and 125 women's models to be ahipped during the fint month and 0 men's and 150 womsen's models to be shipped during the second month, Additionat data are shown. Last month the company used a tokal of 1,000 hours of laber. The compony's labor relations polisy mill not alisw the combised tocal hours of labor (matwilacturing plat assembly) to incroase or decreate by more than Ioo hours fram month to month. In addeion, the. company charges mocthly inventory at the rase of 2% of the preductien cost based on the inventory levels at the end of the month. The company mould lke to have at least 25 units ed each model in inyentory at the end of the twe months. Only integer whounts of bisycles can be produced. (a) Estabich a production schedule that minimites production and inventory costs and satiofies the lapor-snoothing, damans, and inventery requrements: What we the monthyy laboe reourements? Privious month manth t montiv 2 (b) if che company changed the constraints so that monthy later ingeases and deoreesen could not eiceed so hourh. inat mould. hapesn to the production whedue? Last month the company used a tatat of 1,000 hours of labor. The company's labor relations policy mill not aliow the combined total heurs of labor (manufacturing plus assembly) to increase oc decrease by more than 100 hours from morth to month. In addition, the: company charges monthy inventory at the rate of 2% of the production cost based on the inventor levels at the end of the month. Th company would ike to have at least 25 unts of each madel in inventory at the end of the two months. Only integer amounts of bicycle can be produced. (a) Lstablah a production schedule that minimizes proouction and inventory costs and watisfies the labor-smoothing, deinund, and imventary requirements. men's model in month 1 x deroies nomen's model in month 1 x bicycies: men's model in month 2 x bicycles wamen's model in month 2 x Eigcles Total Cost What investeries will be maintained? inventory Schedile men's model in month. 1 Bisyden pomen'y modef is month 1 biceles men's medel in month 2 bicydes wamens model in moneth 2 bicycles What ars the monchiy lobor requirements? (b) If the company changeid the cosicbaints so that monenyy labor horeases and stereases cocly not eaceed so hourv, what woula happen to bie prodpetion schedule? merve model in month 1 begres women's meset in mants 1 bcydes inen's model in mones 2 bicvelet Whthetit modei in moner 2 begciea Tutal Cint Hole muchiwa the cok incraie