Using the intuitive least cost method for the given transportation problem, answer the following: Cleveland Dayton Erie Supply Allentown $22 $16 $21 100 Philadelphia $28 $27 $18 150 Harrisburg $25 $23 $19 175 Demand 175 175 175 What is the maximum quantity that can be shipped from Allentown to Erie? 100 What is the maximum quantity that can be shipped from Harrisburg to Cleveland? 175 What is the maximum quantity that can be shipped from Harrisburg to Dayton? 75 Which demand location will have an unmet demand? Cleveland Answer 1:

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Dickens

1 December, 22:14

Using the intuitive least cost method for the given transportation problem, answer the following: Cleveland Dayton Erie Supply Allentown $22 $16 $21 100 Philadelphia $28 $27 $18 150 Harrisburg $25 $23 $19 175 Demand 175 175 175 What is the maximum quantity that can be shipped from Allentown to Erie? 100 What is the maximum quantity that can be shipped from Harrisburg to Cleveland? 175 What is the maximum quantity that can be shipped from Harrisburg to Dayton? 75 Which demand location will have an unmet demand? Cleveland Answer 1:

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Adrien Boyle · Answer 1

The demand location where demand is unmet is equal to Cleveland. Received only 75 units. 100 units demand is unmet.

Explanation:

Solution

From the example given, we solve for which demand location will have an unmet demand

Now,

The maximum quantity that can be shipped from Allentown to Erie is 100.

The Maximum quantity that can be shipped from Harrisburg to Cleveland is 175

While,

The Maximum quantity that can be shipped from Harrisburg to Dayton is 175

Hence, in case we want an solution optimum to get the required demand as many as possible with the supply given and with a low costs, then we need to find the optimum solution.

By applying a least cost method called greedy, we need to remove our least costing node and then provide minimum of demand and supply unit a present to each cell.

Thus,

The first least cost is Allentown to Dayton.

From Allentown to Dayton 100 units. Next least cost is Philadelphia to Erie.

From Philadelphia to Erie 150 units. Next least cost is Harrisburg to Erie.

From Harrisburg to Erie 25 units. Next least cost is Harrisburg to Dayton.

From Harrisburg to Dayton 75 units. Next least cost is Harrisburg to Cleveland

From Harrisburg to Cleveland 75 units.

So, for the optimum solution, the right choice of answer will be

From Allentown to Erie = 0 units

From Harrisburg to Cleveland = 75 units

From Harrisburg to Dayton = 75 units

Therefore, The demand location where demand is unmet is equal to Cleveland. Received only 75 units. 100 units demand is unmet.