HomeworkLib
Question

A mobile-home manufacturer in Indiana channels its mobile-home units through distribution centers located in Elkhart, Ind.. Albany. N.Y., Camden. N.J.. and Petersburg. Va. An examination of their shipping department records indicates that, in the upcoming quarter, the distribution centers will have in inventory 30. 75. 60. and 35 mobile homes. respectively. Quarterly orders submitted by dealerships serviced by the distribution centers require the following numbers of mobile home units for the upcoming quarter Number of units Number of units Dealer A Dealer B Dealer C 25 40 15 Dealer D Dealer E Dealer F 25 50 45 Transportation costs (in dollars per unit) between each distribution center and the dealerships are as shown in the table below Dealers Distribution centers Elkhart Albany Camden Petersburg 75 90 40 95 175 45 35 65 30 90 110150 50 105 130 80 70 75 1501 100 115 Formulate this problem as a linear-programming problem with the objective of minimizing the transportation costs from the distribution centers to the dealerships

  1. Define variables

  2. Write the objective function in in terms of variables

  3. Write constraints

  4. Is this a feasible problem? Please comment.

  5. Suppose Dealer E had placed an order for 65 units, assuming all other data remain unchanged. How does this affect the feasibility of the problem.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Let us denote Hhu distribotron centers as Albany 2vd amdun3nd Petersburg- 9th for the sake of simplicitg of counting and let us dunote the dealers as A1 82 D efirug Variables He need one variable each to indicste the nom ber of umits transported from a distrilution Cenier to a particulan dealer. İhat is, in total we need ut X 6-24 vanables frem ih distributhion Center to ith dealer, ie,3 eg. χ13 httresents the number of units tnansportedl rom Elkhart (iatdbeion centus) to Dealv C (3rd Dealer to Dealr C (3nd Dealn Objectire Function denote the than pertaton cost (datlars per unit) from th diturutien centerto ith dea le Then thu objeclve fumclien Aepme sents the to tal ceut to be mini mised ie ml ηCONSTRAINTS Sirice each distvikution Center hpacity finct four consthaints be come mite 35 Also, eech dealer nequires a limi tod amwnt of , eneed six more constraints L. 저4-25 The non-negativity Constraint s sll to be a ddud Also, tha nits cannot be transorted as froctons, So hare to be ntegen e , 2, 3,15 Is this Feasible Problem Yes this is a Feasible Problem since the total Zoo and unit in the distribution centers the demand ty the dealers is also 20o ui Hence, th solutón to thu problem certainly exiuts gf Dealer E had placed an order 알 65 mit, then hr totel demand ould have been 215 nits,which is more than he reserve of distribution centers Honce, here, the problem becomes in feasible

0 0
Add a comment
Know the answer?
Add Answer to:
Define variables Write the objective function in in terms of variables Write constraints Is this a...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Please use own words. Thank you. CASE QUESTIONS AND DISCUSSION > Analyze and discuss the questions...

    Please use own words. Thank you. CASE QUESTIONS AND DISCUSSION > Analyze and discuss the questions listed below in specific detail. A minimum of 4 pages is required; ensure that you answer all questions completely Case Questions Who are the main players (name and position)? What business (es) and industry or industries is the company in? What are the issues and problems facing the company? (Sort them by importance and urgency.) What are the characteristics of the environment in which...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT