Determine the least costly way of shipping locks from plants to distributors.

Determine the least costly way of shipping locks from plants to distributors.

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3.2. Assigning Tasks Suppose a data processing department wishes to assign five programmers to five programming tasks (one programmer to each task). Management has estimated the total number of days each programmer would take if assigned to the different jobs, and these estimates are summarized in the following table.  Task 1 2 3 4 5  1 50 25 78 64 60  2 43 30 70 56 72Programmer 3 60 28 80 66 68  4 54 29 75 60 70  5 45 32 70 62 75Determine the assignment that minimizes the total programmer days required to complete all five jobs.Show the network diagram corresponding to the solution in (a). That is, label each of the arcs in the solution and verify that the flows are consistent with the given information.How would your solution change if programmer 3 could not be assigned to tasks 2 or 4? 3.4. Distributing a Product The Lincoln Lock Company manufactures a commercial security lock at plants in Atlanta, Louisville, Detroit, and Phoeni. The unit cost of production at each plant is 35.50, 37.50, 37.25, and 36.25, and the annual capacities are 18,000, 15,000, 25,000, and 20,000, respectively. The locks are sold through wholesale distributors in seven locations around the country. The unit shipping cost for each plant-distributor combination is shown in the following table, along with the forecasted demand from each distributor for the coming year.  Tacoma SanDiego Dallas Denver St Louis TampaBaltimoreAtlanta 2.50 2.75 1.75 2.00 2.10 1.80 1.65Louisville 1.85 1.90 1.50 1.60 1.00 1.90 1.85Detroit 2.30 2.25 1.85 1.25 1.50 2.25 2.00Phoeni 1.90 0.90 1.60 1.75 2.00 2.50 2.65Demand 5.500 11.500 10.500 9.600 15.400 12.500 6.600Determine the least costly way of shipping locks from plants to distributors.Show the network diagram corresponding to the solution in (a). Thatis, label eachof the arcs in the solution and verify that the flows are consistent with the given information.Suppose that the unit cost at each plant were 10 higher than the original figure. What change in the optimal distribution plan would result? What general conclusions can you draw for transportation models with nonidentical plant-related costs? 3.8. College Epenses Revisited Revisit the college epense planning network eample of this chapter. Suppose the rates on the four investments A, B, C, and D have dropped to 5, 11, 18, and 55 percent, respectively. Suppose that the estimated yearly costs of college (in thousands) have been revised to 25, 27, 30, and 33.What is the minimum investment that will cover these epenses?Show the network diagram corresponding to the solution in (a). That is, label each of the arcs in the solution and verify that the flows are consistent with the given information.     Thehonest on Tue, 2016-11-08 05:46 76 3.5price: 8.50 A+ Work body preview (6 words) attached file file1.zip preview (683 words) should made up2 19149.1969881177 1year5 26000 3 62800019738.8951323109 year 730000 year 65 Total investment of 77409 be the following breakYear 18%Total0 20,339 18,182 12 43,695 22,807 22807 is investment from 38888 which has 46316 after 4 24,000 5 26,415 28,000 7 30,000 77409 been 6% then 1083 as follows:Value Balance 00 82054 286977 03 0 -2400073727 5 -2600052151 655280 -28000 28917Recommendation it is recommended that the investment be made in break 6% 18% 20,339 18,18277,409 Investment should be break up 1 2 21011.9857466796 5 4 21186.4406779661 18 3 6 22386.4618990988 1 7 21290.3225806452 year55 of to following 5% 55%Total 47,8473 24324 is the investment 43398 which become 50239 three years 25,000 27,000 7 If 77409 have in then have 2375 as – – – more tet follows – – –

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