Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Expert Solution & Answer
Chapter 3, Problem 11RP
Explanation of Solution
Steps to maximize profits:
- From the information, observe that the Sunco Oil has refineries in Los Angeles and Chicago.
- The Los Angeles refinery can reflect up to 2 million barrels of oil per year, and the Chicago refinery up to 3 million.
- Consider xij joint variable be the barrels of oil shipped from refinery “i” to the distribution point “j” for (i=1,2 and j=1,2).
- The objective is to maximize Sunco’s profit over a 10-year period.
- z= {10[(profit per million barrels) (oil shipped from LA to Houston) + (Profit/million barrels) (Oil shipped from LA to NY) + (Profit/million barrels) (Oil shipped from Chicago to Houston) + (Profit/million barrels) (Oil shipped from Chicago to NY)] – (cost of annual refining capacity for LA) – (cost of annual refining capacity for chicago)
- z=
- Constraint 1: At most, 2 million barrels of oil can be refined at Los Angeles refinery.
- ((Barrels of oil shipped from LA to Houston)+(Barrels of oil shipped from LA to NY))≤2
- Constraint 2: At most, 3 million barrels of oil can be refined at Chicago refinery.
- ((Barrels of oil shipped from Chicago to Houston)+(Barrels of oil shipped from Chicago to NY))≤3
- Constraint 3: At most, 5 million barrels of oil can be shipped to Houston from Los Angeles and Chicago
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here.
Aynor: Cost = 65Q1 + 5Q12 + 96Spartanburg: Cost = 21Q2 + 3Q22 + 147
Where
Q1 = number of chairs produced at Aynor
Q2= number of chairs produced at Spartanburg
Andalus needs to manufacture a total of 50 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost? Can you use Excel to formulate and Solver to solve.
How do I answer this, please?
Acme Parts runs a small factory and employs workers who are paid one of three hourly rates depending on their shift: first shift, $17 per hour; second shift, $18.50 per hour; third shift, $22 per hour. Each factory worker might work any number of hours per week; any hours greater than 40 are paid at one and one-half times the usual rate. In addition, second- and third-shift workers can elect to participate in the retirement plan for which 3% of the worker’s gross pay is deducted from the paychecks.
Write a program that prompts the user for hours worked, shift, and, if the shift is 2 or 3, whether the worker elects the retirement (1 for yes, 2 for no). Display:
Hours worked
Shift
Hourly pay rate
Regular pay
Overtime pay
Total of regular and overtime pay
Retirement deduction, if any
Net pay.
demand and supply equations are given as qd=25,000,000-500p and qs=52,000,000+2,000p respectively. what is the equilibrium price
Chapter 3 Solutions
Operations Research : Applications and Algorithms
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5P
Ch. 3.2 - Prob. 6PCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Prob. 10PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.7 - Prob. 1PCh. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 6PCh. 3.8 - Prob. 7PCh. 3.8 - Prob. 8PCh. 3.8 - Prob. 9PCh. 3.8 - Prob. 10PCh. 3.8 - Prob. 11PCh. 3.8 - Prob. 12PCh. 3.8 - Prob. 13PCh. 3.8 - Prob. 14PCh. 3.9 - Prob. 1PCh. 3.9 - Prob. 2PCh. 3.9 - Prob. 3PCh. 3.9 - Prob. 4PCh. 3.9 - Prob. 5PCh. 3.9 - Prob. 6PCh. 3.9 - Prob. 7PCh. 3.9 - Prob. 8PCh. 3.9 - Prob. 9PCh. 3.9 - Prob. 10PCh. 3.9 - Prob. 11PCh. 3.9 - Prob. 12PCh. 3.9 - Prob. 13PCh. 3.9 - Prob. 14PCh. 3.10 - Prob. 1PCh. 3.10 - Prob. 2PCh. 3.10 - Prob. 3PCh. 3.10 - Prob. 4PCh. 3.10 - Prob. 5PCh. 3.10 - Prob. 6PCh. 3.10 - Prob. 7PCh. 3.10 - Prob. 8PCh. 3.10 - Prob. 9PCh. 3.11 - Prob. 1PCh. 3.11 - Show that Finco’s objective function may also be...Ch. 3.11 - Prob. 3PCh. 3.11 - Prob. 4PCh. 3.11 - Prob. 7PCh. 3.11 - Prob. 8PCh. 3.11 - Prob. 9PCh. 3.12 - Prob. 2PCh. 3.12 - Prob. 3PCh. 3.12 - Prob. 4PCh. 3 - Prob. 1RPCh. 3 - Prob. 2RPCh. 3 - Prob. 3RPCh. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Prob. 8RPCh. 3 - Prob. 9RPCh. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Prob. 13RPCh. 3 - Prob. 14RPCh. 3 - Prob. 15RPCh. 3 - Prob. 16RPCh. 3 - Prob. 17RPCh. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prob. 22RPCh. 3 - Prob. 23RPCh. 3 - Prob. 24RPCh. 3 - Prob. 25RPCh. 3 - Prob. 26RPCh. 3 - Prob. 27RPCh. 3 - Prob. 28RPCh. 3 - Prob. 29RPCh. 3 - Prob. 30RPCh. 3 - Graphically find all solutions to the following...Ch. 3 - Prob. 32RPCh. 3 - Prob. 33RPCh. 3 - Prob. 34RPCh. 3 - Prob. 35RPCh. 3 - Prob. 36RPCh. 3 - Prob. 37RPCh. 3 - Prob. 38RPCh. 3 - Prob. 39RPCh. 3 - Prob. 40RPCh. 3 - Prob. 41RPCh. 3 - Prob. 42RPCh. 3 - Prob. 43RPCh. 3 - Prob. 44RPCh. 3 - Prob. 45RPCh. 3 - Prob. 46RPCh. 3 - Prob. 47RPCh. 3 - Prob. 48RPCh. 3 - Prob. 49RPCh. 3 - Prob. 50RPCh. 3 - Prob. 51RPCh. 3 - Prob. 52RPCh. 3 - Prob. 53RPCh. 3 - Prob. 54RPCh. 3 - Prob. 56RPCh. 3 - Prob. 57RPCh. 3 - Prob. 58RPCh. 3 - Prob. 59RPCh. 3 - Prob. 60RPCh. 3 - Prob. 61RPCh. 3 - Prob. 62RPCh. 3 - Prob. 63RP
Knowledge Booster
Similar questions
- A chain of video stores sells three different brands of DVD players. Of its DVD player sales, 50% are brand 1 (the least expensive), 30% are brand 2, and 20% are brand 3. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 25% of brand l's DVD players require warranty repair work, whereas the cor- responding percentages for brands 2 and 3 are 20% and 10%, respectively. 1. What is the probability that a randomly selected purchaser has bought a brand 1 DVD player that will need repair while under warranty? 2. What is the probability that a randomly selected purchaser has a DVD player that will need repair while under warranty? 3. If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player? A brand 2 DVD player? A brand 3 DVD player?arrow_forwardA large apple farm distributes their apples in boxes that they can source from any one of a number of nearby box manufacturers. Each box manufacturer makes only one box type that holds a specific number of apples - so a box from one manufacturer might hold 24 apples, while a box from another might hold 13. The apple farm can only choose one box supplier each year (a decision they make each year based on price), but they can then order an unlimited number of boxes of that type. The farm likes to be prepared, and creates large batches of apples to pack before the decision about which box type to use has been made. The farm also likes to limit waste, and tries to set the number of apples in these large batches such that they can fill an integer number of boxes perfectly with no apples left over. In creating these batches, although the farm doesn't yet know the exact capacity of the boxes they will buy, they know a list of possible values the box capacity will take. For example, if the…arrow_forwardThis is the problem: Acme Parts runs a small factory and employs workers who are paid one of three hourly rates depending on their shift: first shift, $17 per hour; second shift, $18.50 per hour; third shift, $22 per hour. Each factory worker might work any number of hours per week; any hours greater than 40 are paid at one and one-half times the usual rate. In addition, second- and third-shift workers can elect to participate in the retirement plan for which 3% of the worker’s gross pay is deducted from the paychecks. Write a program that prompts the user for hours worked, shift, and, if the shift is 2 or 3, whether the worker elects the retirement (1 for yes, 2 for no). Display: Hours worked Shift Hourly pay rate Regular pay Overtime pay Total of regular and overtime pay Retirement deduction, if any Net pay. This is the code already given: import java.util.*; public class AcmePay { public static void main(String[] args) throws Exception { // Write your code here }…arrow_forward
- Nawras Tech assembles laptop computers from generic components. It purchases its colour monitors from a manufacturer in Taiwan with a lead time of one week. Daily demand for monitors is normally distributed with a mean of 30 monitors and a standard deviation of 8 monitors. The company has determined that the ordering cost is OMR 125 per order, the annual holding cost is OMR 25 per monitor, and the stockout cost is OMR 160 per lost sale. Currently, Nawras Tech accepts a 5% risk of stockout. Assume 350 days per year and 7 days in a week. a) Calculate the current fill rate. b) What is the annual cost of lost sales?arrow_forwardAn electrical utility company charges the domestic customers with the rate provided below: 3. For the first 200 kWh (1 - 200 kWh) per month: For the next 100 kWh (201 – 300 kWh) per month: For the next 300 kWh (301 – 600 kWh) per month: For the next 300 kWh (601 – 900 kWh) per month: For the next kWh (901 kWh onwards) per month: 21.80 cents/kWh 33.40 cents/kWh 51.60 cents/kWh 54.60 cents/kWh 57.10 cents/kWh. Draw the flowchart to show the sequence of calculating the rate, starting from obtaining the monthly energy consumption until printing out the amount payable.arrow_forwardSuppose you want to pay back someone with 28 BDT and you have unlimited supply of 1 taka, 2 taka, 5 taka and 10 taka notes. Your target is to use the minimum number of notes to payback the said amount of money. How will you pay him/her back? That means how many notes of which value will you choose?arrow_forward
- Q2: find the total cost of transportation for the following problem: supply demand DI D2 Al 1000 1500 2 3 A2 2500 1500 3 1 A3 1500 2000 4 3 D3 1 1 2arrow_forwardA computer manufacturing company is trying to decide whether to purchase specialized assembly equipment todayor to wait 6 years from now, when the equipment will be first needed.If you were to purchase the equipment today it would cost: $704,0006 years from now the equipment would cost: $1,000,962The bank is paying 6.00% interest per year, compounded monthly.Should you buy the equipment now or wait 6 years to buy the equipment?arrow_forwardSuppose two mobile phone companies sale their internet packages as 256KB connection for Rs.1500 per month, 512KB connection for Rs. 1900 per month, 1MB connection for Rs. 2800 per month and 4MB connection for Rs. 3800 per month. The table below summarizes the number of connections both companies have sold per month 512KB 1MB 4MB 256 KB 175 Company A Company B 60 22 8. 250 180 65 23 What is total annual revenue of Company A? What is total quarterly reveue of Company B?arrow_forward
- Assume that the shortest distance between nodes a, b, c, and d, to node y and the costs from node x to nodes a, b, c, and d are given below: Day = 5 Dby = 6 Dcy = 4 Ddy = 3 cxa = 2 cxb = 1 cxc = 3 cxd = 1 What is the shortest distance between node x and node y, Dxy, according to the Bellman-Ford equation?arrow_forwardA call center has 60 employees on‐line, each of whom make one phone call every 3 min on average, and talk on average for 2 min. Each call costs 15¢. What is the total traffic in erlangs? How many circuits are required for a GoS of 1%? How much should the yearly (250 working days, 8 working hours a day) lease price be for the company to make a 50% saving in its telephone bills over the first 3 years? Assume the lease set‐up fee of $30,000 should be paid over a period of 3 years.arrow_forwardA paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A+ 16C + 4D, p2 = 80B + 20C, p3 = 30A + 10B + 60C, P4 = 10A + 10B + 72C + 8D. The better colour say ps is composed as follows: ps = 40A + 27B + 31C + 2D. How much of the paints P₁, P2, P3, and p4 should be used to make one gallon of ps. Hint: use (Ax=b).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole