Math Today

Chapter 9 Problems (Solutions for 8, 11, 16, 53, 55, 57 are in the text) 1. Rott Irony manufactures quatern 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 invariable gear metal. An ornate lamp yields a profit of $150, takes 8 hours of take and 3 hours of machine time, and requires 20 unanimous feet of metal. The plain and fancy lamps severally yield a $200 profit and learn 1 hour of machine time. However, the rococo lamp requires 20 hours of elbow grease 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 twice as umpteen plain as rococo lamps. single 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 indispensablenesss to determine how many of severally type of lamp to pro pose to maximize total profits. break this line as a linear program.

Letting XF = measurement of fancy lamps XO = sum 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 yieldout of Hoopla Hoops. There are four underlyin g puts, with the quest resource usages ! ResourceMODEL 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

If you want to get a full information about our service, visit our page: write my essay