Decision Science Class 1
7-14 The Electrocomp Corporation manufactures two electrical products : air conditioners and large fans.The assembly process for each is similar in that both require a certain amount of wiring and drilling.Each air conditioner takes 3 hours of wiring and 2 hours of drilling.Each fan must go through 2 hours of wiring and 1 hour of drilling.During the next production period,240 hours of wiring time are available and up to 140 hours of drilling time may be used.Each air conditioner sold yields a profit of $25.Each fan assembled may be sold for a $15 profit.Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit.Use the corner point graphical approach.
7-17 The outdor Funiture Corporation manufactures two products,benches and picnic tables,for use in yards and parks.The firm has two main resources : its carpenters (labor force) and a supply of redwood for use in the furniture.During the next production cycle, 1,200 hours of labor are available under a union agreement.The firm also has a stock of 3,500 feet of good-quality redwood.Each bench that Out-door Funiture produces requires 4 labor hours and 10 feet of redwood ; each picnic table takes 6 labor hours and 35 feet of redwood.Completed benches will yield a profit of $9 each,and tables will result in a profit of $20 each.How many benches and tables should Outdoor Furniture produce to obtain the largest possible profit?Use the graphical LP approach.
7-19 MSA Computer Corporation manufactures two models of minicomputers,the Alpha 4 and the Beta 5.The firm employs five technicians,working 160 hours each per month, on its assembly line.Managementinsists that full employment ( i.e.,all 160 hours of time) be maintained for each worker during next month’s operations.It requires 20 labor hours to assemble each Alpha 4 computer and 25 labor hours to assemble each Beta 5 model.MSA wants to see at least 10 Alpha 4s and least 15 Beta 5s
7-17 The outdor Funiture Corporation manufactures two products,benches and picnic tables,for use in yards and parks.The firm has two main resources : its carpenters (labor force) and a supply of redwood for use in the furniture.During the next production cycle, 1,200 hours of labor are available under a union agreement.The firm also has a stock of 3,500 feet of good-quality redwood.Each bench that Out-door Funiture produces requires 4 labor hours and 10 feet of redwood ; each picnic table takes 6 labor hours and 35 feet of redwood.Completed benches will yield a profit of $9 each,and tables will result in a profit of $20 each.How many benches and tables should Outdoor Furniture produce to obtain the largest possible profit?Use the graphical LP approach.
7-19 MSA Computer Corporation manufactures two models of minicomputers,the Alpha 4 and the Beta 5.The firm employs five technicians,working 160 hours each per month, on its assembly line.Managementinsists that full employment ( i.e.,all 160 hours of time) be maintained for each worker during next month’s operations.It requires 20 labor hours to assemble each Alpha 4 computer and 25 labor hours to assemble each Beta 5 model.MSA wants to see at least 10 Alpha 4s and least 15 Beta 5s