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Grand Canyon ECN601 Module 7 problems




Question;8-3 (Restaurant work scheduling;problem).;The famous Y. S. Chang Restaurant is open 24 hours;a day. Waiters and busboys report for duty at 3 A.M., 7 A.M.,11 A.M., 3 P.M., 7 P.M., or 11 P.M., and each works an 8-hour shift. The following;table shows the minimum number of workers needed during the six periods into;which the day is divided. Chang?s scheduling problem is to determine how many;waiters and busboys should report for work at the start of each time period to;minimize the total staff required for one day?s operation. (Hint: Let equal the;number of waiters and busboys beginning work in time period i, where i = 1, 2;3, 4, 5, 6.);NUMBER OF WAITERS;PERIOD TIME AND BUSBOYS REQUIRED;1 3 A.M.?7 A.M. 3;2 7 A.M.?11 A.M. 12;3 11 A.M.?3 P.M. 16;4 3 P.M.?7 P.M. 9;5 7 P.M.?11 P.M. 11;6 11 P.M.?3 A.M 4;(a) Add this additional constraint: Total Number;of Workers to Start the Shifts must be less than or equal to 31.;8-4 (Animal feed mix problem) The;Battery Park Stable feeds and houses the horses used to pull tourist-filled carriages;through the streets of Charleston's historic waterfront area. The stable owner;an ex-racehorse trainer, recognizes the need to set a nutritional diet for the horses;in his care. At the same time, he would like to keep the overall daily cost of;feed to a minimum.The feed mixes;available for the horses' diet are an oat product, a highly enriched grain, and;a mineral product. Each of these mixes contains a certain;amount of five ingredients needed daily to keep the average horse healthy. The;table on this page shows these minimum requirements, units of each ingredient;per pound of feed mix, and costs for the three mixes.;In addition, the stable owner is aware that an overfed horse is a sluggish worker.;Consequently, he determines that 6 pounds of feed per day are the most that any;horse needs to function properly. Formulate this problem and solve for the;optimal daily mix of the three feeds. Please see attached excel spead sheet for;original data from problem.;8-6 Eddie Kelly is running for;re-election as mayor of a small town in Alabama. Jessica Martinez, Kelly's campaign;manager during this election, is planning the marketing campaign, and there is;some stiff competition. Martinez has selected four ways to advertise;television ads, radio ads, billboards, and newspaper ads. The costs of these;the audience reached by each type of ad, and the maximum number of each is;shown in the following table;See attached spreadsheet for table;In addition, Martinez has decided;that there should be at least six ads on TV or radio or some combination of;those two. The amount spent on billboards and newspapers together must not;exceed the amount spent on TV ads. While fundraising is still continuing, the;monthly budget for advertising has been set at $15,000. How many ads of each;type should be placed to maximize the total number of people reached?


Paper#56906 | Written in 18-Jul-2015

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