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Chapter 9 Problems (Solutions for 8, 11, 16, 53, 55, 57 are in the text) 1. Rott Irony manufactures quadruple types of light fixtures. A lovingness lamp yields a profit of $100, takes 10 hours of patience and 2 hours of machine time, and requires 10 straightforwardly feet of inactive gear metal. An ornate lamp yields a profit of $150, takes 8 hours of industry and 3 hours of machine time, and requires 20 public square feet of metal. The plain and fancy lamps severally yield a $200 profit and demand 1 hour of machine time. However, the rococo lamp requires 20 hours of lug and 30 square feet of metal, and the plain lamp requires 10 hours of labor and 15 square feet of metal. Rott must produce at least doubly as umteen plain as rococo lamps. save 1,000 hours of labor and 200 hours of machine time are available, and 5,000 square feet of mainsheet metal are in inventory. Rott indispensabilitys to determine how many of severally type of lamp to propos e to maximize total profits. make up this line as a linear program.

Letting XF = criterion of fancy lamps XO = beat of ornate lamps XP = quantity of plain lamps XR = quantity of rococo lamps Maximize P = 100XF + 150XO + 200XP + 200XR Subject to 10XF + 8XO + 10XP + 20XR < 1,000(labor) 2XF + 3XO + 1XP + 1XR < 200 (machine) 10XF + 20XO + 15XP + 30 XR < 5,000 (sheet metal) ? 1XP + 2 XR < 0 (quantity) where XF, XO, XP, XR >0 2. You have been given the assignment of programming the divergeout of Hoopla Hoops. There are four basic po sers, with the quest resource usages Res! ourceMODEL Available ABCD Plastic5667100 ft, Beads10121515500 oz. Nylon4550600 ft polytetrafluoroethylene0234200 gal turn over.5.4.5.8300 hr. The number of model As cannot egest the unite total of the other models. Hoopla must make at least 50 model B and 20 model D hoops. Hoopla wants to determine the number of models of each(prenominal) type that...If you want to get a full essay, swan it on our website: OrderEssay.net

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