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Unformatted text preview: UF-ESI-63149/3/2007page 1 of 301-01.Formulate the following problem as a linear program(write or type as a mathematicalprogramming formulation).Our manufacturing plant produces bookshelves, couches, and worktables.I. To produce 1 bookshelfproduces $6 of profit1.consumes 12 hours of labor2.consumes 40 units of lumber3.II. To produce 1 couchproduces $5 of profit1.consumes 14 hours of labor2.consumes 22 units of lumber3.II. To produce 1 worktableproduces $8 of profit1.consumes 16 hours of labor2.consumes 60 units of lumber3.We have 400 hours of labor that are available to us each week.We have 1000 units of lumber as raw materials.How many bookshelves, couches, and worktables should be produced to maximize profits, subjectto labor and lumber restrictions? (You may allow fractional production.)b = number of bookshelves producedc = number of couches producedw= number of worktables producedl= number of hours of labor availableL = number of units of lumber available (say square feet)P = total profit...
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