Question

3. The following transportation table represents the shipping profits from shipping a commodity from three sources...

3. The following transportation table represents the shipping profits from shipping a commodity from three sources to three destinations.

City 1

City 2

City 3

Supply

Plant 1

600

700

400

25

Plant 2

320

300

350

40

Plant 3

500

480

450

30

Demand           30         35                25O

The solution below represents a feasible transportation plan for this problem

City 1

City 2

City 3

Plant 1

0

0

25

Plant 2

30

10

0

Plant 3

0

25

0

                                                                                                                                                                                                                                                                                                                                                                                

    1. Are all plants working in full capacity?
      1. Yes. All cities are getting their demand, so all plants work in full capacity.
      2. Yes, it will not be optimal to leave some capacity unused.
      3. No, Plant 3 is not.
    2. Note. The solution provided above is not optimal. Below there is another feasible transportation plan. Is that plan better than the one shown above?
  2. It is impossible to tell.
  3. We can check the objective values and compare. Based on the comparison I just made the answer is “YES”, it is a better plan.
  4. We can check the objective values and compare. Based on the comparison I just made the answer is “NO”, it is not a better plan.

Here is the alternative transportation plan:

City 1

City 2

City 3

Plant 1

0

25

0

Plant 2

10

0

25

Plant 3

20

10

0
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(3.1)

Option (c) is correct.

No, Plant 3 is not.

Explanation:

Plant 3 has a supply capacity of 30, but is only shipping 25 (to city 2). Hence is not working in full capacity.

(3.2)

Option (c) is correct.

we can check the objective values and compare. Based on the comparison I just made the answer is “YES”.

Explanation:

solver always provide one of the optimal solutions possible. So it is better to compare the objective function value with the known solution.


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