CT-Power has three electric power plants that supply the needs of four cities in connecticut. Each plant can supply some number of killowatt-hours (kwh) as in table. The peak power demands and the costs of sending 1 million kwh of electricity from a plant to a city are also given in the table. CT-Power wants to minimize the cost of meeting each city's peak power demand. From To City 1 City 2 City 3 City 4 Supply (Million kwh) Plant 1 $8 $6 $10 $9 35 Plant 2 $9 $12 $13 $7 50 Plant 3 $14 $9 $16 $5 40 Demand 45 20 30 30 (Million kwh) (a) Formulate this problem as a transportation problem. (b) Find a feasible solution for this problem using Northwest method (c) Use Stepping Stone method to check optimality of your feasible solution and improve your solution if it is not optimum. (d) Solve the problem using Excel solver or CPLEX.
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- Using the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)Oscar's Bowling, Ic., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 285,000 Scottsdale 350,000 10 Chandler 725,000 5 Mesa 300.000 10 1 Glendale 345,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of and a y coordinate of . (Enter your responses rounded to one decimal place.)the gulf coast foundry is developing a long range strategic plan for buying scarp metal for its foundry oprations the foundry can buy scrap metal in unlimited quantities from two sources, Atlanta(A) and Birmingham (B), and it receives the scrap daily in railroad cars. the scrap is melted down, and lead lead and copper are extracted for use in the foundry processes each railroad car of scrap from source A yields 1 ton of copper and 1 ton of lead and cost $10,000. each railroad car of scrap from source B yields 1 ton of copper and 2 tons of lead and costs $15,000, if the foundry needs at least 2 and a half tons of copper and at least 4 tons of lead per day for the foreseeable future, how many railroad cars of scrap should be ( purchased per day from source A and source B to minimize the long range scrap metal cost?
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