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To be done with Excel Solver Gator Electric Co. manufactures generators for homeowners. The companys most popular model is GEC1. Gator Electric Co. manufactures these

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Gator Electric Co. manufactures generators for homeowners. The companys most popular model is GEC1. Gator Electric Co. manufactures these generators at their manufacturing plants located in Fort Lauderdale, Gainesville, Charlotte and Richmond and sells them through their six stores all of which are located in the Eastern United States. Table 3 gives the unit cost of manufacturing and shipping for each plant-store combination along with the capacity available at each plant and the demand at each store location. In addition, the company charges a different price for GEC1 at different store locations. These prices are also included in Table 3.

Table 3. Gator Electric Co. Cost, Price, Capacity and Demand Data

Store 1

Store 2

Store 3

Store 4

Store 5

Store 6

Supply at plant

Ft. Lauderdale Plant

320

350

280

290

280

320

190

Gainesville Plant

350

330

300

300

310

330

250

Charlotte Plant

290

290

320

310

330

290

200

Richmond Plant

280

290

300

300

290

340

200

Demand at store

150

200

80

40

120

160

Price at Store($)

450

500

400

380

430

480

  1. Find a profit-maximizing distribution plan for Gator Electric Co.

  1. Assume that the Gainesville plant has to manufacture at least 200 units in accordance with a labor agreement. Will this change the optimal solution you found in (a) above? If so, what is the new optimal solution?

  1. Now go back to the original problem, i.e. ignore the condition described in (b) above. If Charlotte plant had only 100 units of supply, how would the solution you obtained in (a) will change?

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