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   
0 0
Add a commentTranscribed image text
Next >

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.


Let me know in the comment section if anything is not clear. I will reply ASAP!
If you liked the answer, please give an upvote. This will be quite encouraging for me.Thank-you!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a 3 x 3 transportation problem, let xij be the amount shipped from source i...
In a 3 x 3 transportation problem, let xij be the amount shipped from source i to destination j, and let cij be the corresponding transportation cost per unit. The amounts of supply at sources 1, 2, and 3 are 15, 30, and 85 units, respectively, and the demands at destinations 1, 2, and 3 are 20, 30, and 80 units, respectively. Assume that the starting northwest-corner solution is optimal and that the assosciated values of the multipliers are given...
Valence Pharmaceuticals has three manufacturing facilities in the US where they produce an anticancer drug. The...
Valence Pharmaceuticals has three manufacturing facilities in the US where they produce an anticancer drug. The drug is shipped from the plants to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. The distribution centers, A, B, C, and D, each needs to receive 10 shipments per month. The distance (in miles) from each plant to each distribution center is shown in the following table: Distribution Center Plant                A                     B                     C                     D 1                      800                  1,300               400                  700 2                      1,100               1,400               600                  1,000 3                      600                  1,200               800                  900 The...
Complete the following 3 problems and attach your work. The UMass IIE student chapter is going...
Complete the following 3 problems and attach your work. The UMass IIE student chapter is going to run a fundraising event from 1pm through 5pm. Due to the large scale of the event, student workers will be hired to work for the event and each worker will be assigned to a particular shift. There are three shifts: 1pm-3pm, 2pm-4pm, 3pm-5pm. The pay for each of the three shifts is $20, $24 and $28 per worker respectively. The minimum number of...
Answer Questions 2 and 3 based on the following LP problem. Let     P1 = number of...
Answer Questions 2 and 3 based on the following LP problem. Let     P1 = number of Product 1 to be produced           P2 = number of Product 2 to be produced           P3 = number of Product 3 to be produced Maximize 100P1 + 120P2 + 90P3         Total profit Subject to         8P1 + 12P2 + 10P3 ≤ 7280       Production budget constraint             4P1 + 3P2 + 2P3 ≤ 1920       Labor hours constraint                                    P1 > 200         Minimum quantity needed...
1) The following table gives the total utility Cletis would receive from 3 goods. Units 0...
1) The following table gives the total utility Cletis would receive from 3 goods. Units 0 1 2 3 4 5 6 7 8 Cowboy Boots 0 100 180 240 290 330 350 360 365 Cowboy Hats 0 50 90 120 140 155 165 170 174 Rope 0 30 55 75 90 100 108 113 117 Assume the price of cowboy boots is $100, the price of a cowboy hat is $50, and the price of rope is $25. If...
. A manufacturing company produces diesel engines in four factories located in Tucson, Seattle, Baltimore, and...
. A manufacturing company produces diesel engines in four factories located in Tucson, Seattle, Baltimore, and Detroit. Three trucking firms purchase these engines for their plants located in Nashville, Miami, and Charleston. The supplies and demands, along with the per engine transportation costs in dollars are given below:                                                                           Plant                                                               Nashville             Miami         Charleston         Supply              __________________________________________________________________                         Tucson                800               1100                400                  35    Factory            Seattle                 550               950                 600                  35                        ...
2) Airline accidents: According to the U.S. National Transportation Safety Board, the number of airline accidents...
2) Airline accidents: According to the U.S. National Transportation Safety Board, the number of airline accidents by year from 1983 to 2006 were 23, 16, 21, 24, 34, 30, 28, 24, 26, 18, 23, 23, 36, 37, 49, 50, 51, 56, 46, 41, 54, 30, 40, and 31. a. For the sample data, compute the mean and its standard error (from the standard deviation), and the median. b. Using R, compute bootstrap estimates of the mean, median and 25% trimmed...
2. (Lesson 11) The “Year” variable represents whether each student identified as a first-year student, sophomore,...
2. (Lesson 11) The “Year” variable represents whether each student identified as a first-year student, sophomore, junior, or senior. Use Minitab Express to conduct a chi-square test to determine if the proportions of students who identify as each year are not all equal. Use the five-step hypothesis testing procedure. [25 points] Step 1: State hypotheses and check assumptions Step 2:Compute the test statistic Step 3: Determine the p-value Step 4: Make a decision (reject or fail to reject the null)...
1. Correlations and Scatter Plots The following data set represents avg time per week spent on...
1. Correlations and Scatter Plots The following data set represents avg time per week spent on social media by age for 12 randomly chosen individuals. Age 14 18 27 21 55 46 18 26 15 17 62 41 Time (s) 240 150 135 110 45 72 150 41 200 125 31 52 a. The correlation coefficient between the two variables is found to be r = -0.84, and the standard deviation for each variable are Sage = 16.71 and Stime...
Problem 11-18 Relevant Cost Analysis in a Variety of Situations [LO11-2, LO11-3, LO11-4] Andretti Company has...
Problem 11-18 Relevant Cost Analysis in a Variety of Situations [LO11-2, LO11-3, LO11-4] Andretti Company has a single product called a Dak. The company normally produces and sells 60,000 Daks each year at a selling price of $32 per unit. The company’s unit costs at this level of activity are given below: Direct materials $ 10.00 Direct labor 4.50 Variable manufacturing overhead 2.30 Fixed manufacturing overhead 5.00 ($300,000 total) Variable selling expenses 1.20 Fixed selling expenses 3.50 ($210,000 total) Total...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT