2) The graph below represents various flows that can occur through a sewage treatment plant, with the numbers on the arcs representing the maximum flow in tons of sewage per hour that can be accommodated. a) What is the LP model for this problem? (Objective function and constraints). b) Solve this problem with Analytic Solver. 1 8 10 2 5 3 6 6 6 9 10 9 5 5 6 7 10 5 9 8
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I need help in formulating the constraints for this problem. So, help with part (a) is all I need.
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- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.Long-Life Insurance has developed a linear model that it uses to determine the amount of term life Insurance a family of four should have, based on the current age of the head of the household. The equation is: y=150 -0.10x where y= Insurance needed ($000) x = Current age of head of household b. Use the equation to determine the amount of term life Insurance to recommend for a family of four of the head of the household is 40 years old. (Round your answer to 2 decimal places.) Amount of term life insurance thousands
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- e Petit Fleur is a French style bakery that specializes in creating gourmet pastries, cakes and sweets for celebrations and events. They are quite well known for having high prices and equally high quality produce. Lily-Mae is getting married and is organizing the food for the celebration. She’s visited a few cake shops, bakeries and specialist event caterers, but she hasn’t found anything she likes. As she is driving home from a tasting appointment, she passes Le Petit Fleur and notices an enormous sign in the window that reads, “Today only - 50% off all orders!” Lily-Mae cannot believe her luck. Quickly she turns into the carpark belonging to Le Petit Fleur and hurries inside. The smell of sweet aromas hits her the moment she walk into the door. She’s never even tried to get in touch with Le Petit Fleur, knowing that they are very high priced, but with a 50% discount she might just be able to do it. She immediately spots a cake on display and is enchanted. The color, decorations and…Consider the following LP problem: Min 6X+ 27Y Subject to : 2 X + 9Y => 25, and X + Y <= 75. Pick a suitable statement for this problem: a. X=37.5, Y=37.5 is the only optimal solution. b. Optimal Obj. function value is 75 c. X = 0, Y = 0 is the only optimal solution. d. Optimal Obj. function value is 0City government has collected the following data on annual sales tax collections and new car registrations: Annual Sales Tax Collections (in millions) 1.0 1.4 1.9 2.0 1.8 2.1 2.3 2.5 New Car Registrations (in millions) 10 12 15 16 14 17 20 22 Determine the following: Plot these data and decide if a linear model is reasonable. Using the results of part a., find the estimated sales tax collections if new car registrations total 25,000,000.