A car rental firm needs to relocate cars for the comingmonth. Three of the cities are projected to have a surplusof cars, and three are expected to have a shortage. Thefollowing table shows the cost (in hundred shillings) ofrelocating a car from a surplus city to a shortage city. Alsshown are the projected shortages and surplus for thedifferent cities.Surplus cityF1F2F3No. of carsshorta. 21950O b. 15200019500C.D184790d. 219500Shortage cityD269665Use the North-West corner method to determine the initiabasic feasible solution in shillings.D31085145Surplus car10512075

The Northwest Corner Method is a technique used in linear programming to find an initial feasible…

Answered: Use the North-West corner method to…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.5: Set-covering And Location-assignment Models

Problem 34P

See similar textbooks

Similar questions

If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?
The Big Bang Theory Assume the hours needed to cook a meal or done a basket of laundry are different, and they are described below: 1 MEAL 1 BASKET SHELDON 2 1 LEONARD 1/2 2 1. What is the maximum number of meals Sheldon can produce in 12 hours? What is the maximum number of laundry baskets Sheldon can complete in 12 hours? 2. Plot in a graph: Sheldon’s production possibility frontier. 3: Plot in a graph: Leonard’s production possibility frontier. 4. What is Sheldon’s opportunity cost of one meal (in terms of baskets given up)? What is his opportunity cost of one basket (in terms of meals given up)? 5. Does Leonard have an absolute advantage in producing both meals and baskets? 6. Who has a comparative advantage in cooking? 7. Suppose each person has 12 hours for the two tasks in a week, and suppose both Sheldon and Leonard each spend 6 hours on cooking and 6 hours on laundry. Consider an offer from Leonard to Sheldon: do 3 baskets of laundry for me each week, and I’ll cook you 2…
The following table presents cost, capacity, and demand data for a transportation problem in Stephanie Robbin’s furniture company. Set up the appropriate transportation table and find the optimal solution using Excel's solver. From/To 1 2 3 Supply A 30 10 5 20 B 10 10 10 30 C 20 10 25 75 Demand 40 60 55 a. Is the problem balanced? [ Select ] ["Yes", "it is balanced", "No", "cannot determine"] , If not, where? [ Select ] ["Neither", "Supply", "Demand"] , and by how much? [ Select ] ["0", "40", "30", "25"] b. What is the optimal cost? $ [ Select ] ["2,500", "1,100", "1,275", "1,300"] c. Were you able to meet all demand requirement? [ Select ] ["no", "cannot determine based on the information given", "yes"] If not, which destination (s) was/were not met? [ Select ] ["none, all destinations were met based on supply and demand being equal", "destination 3 by 30 units", "destination 2 by 30 units", "destination 1 by 25 units…
General Ford produces cars at L.A. and Detroit and hasa warehouse in Atlanta; the company supplies cars tocustomers in Houston and Tampa. The cost of shipping a carbetween points is given in Table 60 (“—” means that ashipment is not allowed). L.A. can produce as many as1,100 cars, and Detroit can produce as many as 2,900 cars.Houston must receive 2,400 cars, and Tampa must receive1,500 cars.a Formulate a balanced transportation problem thatcan be used to minimize the shipping costs incurred inmeeting demands at Houston and Tampa.b Modify the answer to part (a) if shipments betweenL.A. and Detroit are not allowed.c Modify the answer to part (a) if shipments betweenHouston and Tampa are allowed at a cost of $5.
A manufacturer produces two types of calculator; each requiring material and labour as shown below: Input Scientific Calculator Graphic Calculator Availability Labour (hrs) 4 5 200 Inspection time 2 1 80 Material (cm2) 10 12 600 PROFIT $200 $300 Write the objective function and he constraints Diagram the constraint and identify the feasible region Using the corner point method, identify the production level that meets the objective of maximum profit
1. In a transportation problem with 4 sources and 5 destinations, how many shipping lanes will exist? 2. In a transportation problem with 3 sources and 3 destinations, how many fixed requirement constraints will be needed?
Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in these two markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) a) Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market. b) Now consider two cases: (i) Company is effectively able to price discriminate in the two markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the total profits?…
A bed mart company is in the business of manufacturing beds andpillows. The company has 40 hours for assembly and 32 hours forfinishing work per day. Manufacturing of a bed requires 4 hours forassembly and 2 hours for finishing. Similarly a pillow requires 2 hoursfor assembly and 4 hours for finishing. Profitability analysis indicatesthat every bed would contribute Birr 80, while a pillow contribution isBirr 55 respectively. Find out the daily production of the company tomaximise the contribution (profit). Solve the problem by graphicalmethod
Given this linear programming model, solve the model and then answer the questions that follow.Maximize Z = 12x1 + 18x2 + 15x3 where x1 = the quantity of product 1 to make, etc.Subject toMachine 5x1 + 4x2 + 3x3 ≤ 160 minutes Labor 4x1 + 10x2 + 4x3 ≤ 288 hoursMaterials 2x1 + 2x2 + 4x3 ≤ 200 poundsProduct 2 x2 ≤ 16 units x1, x2, x3 ≥ 0 a. Are any constraints binding? If so, which one(s)?
Formulate an LP model for the following problems.1. Bernadette intends to invest up to ₱50,000 in either Best Fund, or a time deposit orboth. The Best Fund pays 8% per year and the time deposit pays 9%. Because theBest Fund is riskier than the time deposit, so she intends to put at most ₱30,000 intothe time deposit and at least ₱10,000 into the Best Fund. How much should she allotto each investment in order to maximize her returns?
Compute the objective function value for the following problem: Min 30X + 150Y subject to : 2X>=0 ;2X + 10Y = 20; X+Y>=0 a. 0 b. 54 c. infeasible d. 300 e. unbounded

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

Use the North-West corner method to determine the initi basic feasible solution in shillings. a. 21950 O b. 152000