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 4.10, Problem 1P
a.
Explanation of Solution
Poor scaling of linear
- The linear problem is poorly scaled...
b.
Explanation of Solution
Poor scaling of linear programming
- Here xi is the unit of product i produced in millions.
- If profit in millions of dollars is measured, then LP becomes
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
At the beginning of the first day (day 1) after grape harvesting is completed, a grapegrower has 8000 kg of grapes in storage. At the end of day n, for n = 1, 2, . . . , the grape grower sells 250n/(n + 1) kg of their stored grapes at the local market at the price of $1.50 per kg.During each day the stored grapes dry out a little so that their weight decreases by 2%.Let wn be the weight (in kg) of the stored grapes at the beginning of day n for n ≥ 1.Find a recursive definition for wn. Draw a timeline. Find the value of wn for n = 1, 2, 3. Let rn be the total revenue (in dollars) earned from the stored grapes from the beginning of day 1 up to the beginning of day n for n ≥ 1.Write a program to compute wn and rn for n = 1, 2, . . . , num where num is entered by the user, and display the values in three columns: n, wn, rn with appropriate headings.Run the program for num = 20. (Use format bank.) Use program to determine how many days it will take to sell all of the grapes.//This is all…
The Pee Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings
for electronic consumer products. All four presses operate differently and are of different sizes.
Currently the firm has a contract to produce three products. The contract calls for 400 units of product
1; 570 units of product 2; and 320 units of product 3. The time (in minutes) required for each product
to be produced on each machine is as follows: SOLVE THE MODEL BY USING MS EXCEL
.An appliance manufacturer produces 2 models of microwave ovens: H and W. Both models require fabrication and assembly work; each H uses 4 hours of fabrication and 2 hours of assembly, and each W uses 2 hours of fabrication and 6 hours of assembly. There are 600 fabrication hours available this week and 480 hours of assembly. Each H contributes $40 towards profit, and each W contributes $30 towards profit. Use Linear Programming to find quantities of H and W that will maximize the profit. What is themaximum profit
Please explain by excel
Chapter 4 Solutions
Operations Research : Applications and Algorithms
Ch. 4.1 - Prob. 1PCh. 4.1 - Prob. 2PCh. 4.1 - Prob. 3PCh. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 5PCh. 4.4 - Prob. 6PCh. 4.4 - Prob. 7P
Ch. 4.5 - Prob. 1PCh. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 4PCh. 4.5 - Prob. 5PCh. 4.5 - Prob. 6PCh. 4.5 - Prob. 7PCh. 4.6 - Prob. 1PCh. 4.6 - Prob. 2PCh. 4.6 - Prob. 3PCh. 4.6 - Prob. 4PCh. 4.7 - Prob. 1PCh. 4.7 - Prob. 2PCh. 4.7 - Prob. 3PCh. 4.7 - Prob. 4PCh. 4.7 - Prob. 5PCh. 4.7 - Prob. 6PCh. 4.7 - Prob. 7PCh. 4.7 - Prob. 8PCh. 4.7 - Prob. 9PCh. 4.8 - Prob. 1PCh. 4.8 - Prob. 2PCh. 4.8 - Prob. 3PCh. 4.8 - Prob. 4PCh. 4.8 - Prob. 5PCh. 4.8 - Prob. 6PCh. 4.10 - Prob. 1PCh. 4.10 - Prob. 2PCh. 4.10 - Prob. 3PCh. 4.10 - Prob. 4PCh. 4.10 - Prob. 5PCh. 4.11 - Prob. 1PCh. 4.11 - Prob. 2PCh. 4.11 - Prob. 3PCh. 4.11 - Prob. 4PCh. 4.11 - Prob. 5PCh. 4.11 - Prob. 6PCh. 4.12 - Prob. 1PCh. 4.12 - Prob. 2PCh. 4.12 - Prob. 3PCh. 4.12 - Prob. 4PCh. 4.12 - Prob. 5PCh. 4.12 - Prob. 6PCh. 4.13 - Prob. 2PCh. 4.14 - Prob. 1PCh. 4.14 - Prob. 2PCh. 4.14 - Prob. 3PCh. 4.14 - Prob. 4PCh. 4.14 - Prob. 5PCh. 4.14 - Prob. 6PCh. 4.14 - Prob. 7PCh. 4.16 - Prob. 1PCh. 4.16 - Prob. 2PCh. 4.16 - Prob. 3PCh. 4.16 - Prob. 5PCh. 4.16 - Prob. 7PCh. 4.16 - Prob. 8PCh. 4.16 - Prob. 9PCh. 4.16 - Prob. 10PCh. 4.16 - Prob. 11PCh. 4.16 - Prob. 12PCh. 4.16 - Prob. 13PCh. 4.16 - Prob. 14PCh. 4.17 - Prob. 1PCh. 4.17 - Prob. 2PCh. 4.17 - Prob. 3PCh. 4.17 - Prob. 4PCh. 4.17 - Prob. 5PCh. 4.17 - Prob. 7PCh. 4.17 - Prob. 8PCh. 4 - Prob. 1RPCh. 4 - Prob. 2RPCh. 4 - Prob. 3RPCh. 4 - Prob. 4RPCh. 4 - Prob. 5RPCh. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - Prob. 8RPCh. 4 - Prob. 9RPCh. 4 - Prob. 10RPCh. 4 - Prob. 12RPCh. 4 - Prob. 13RPCh. 4 - Prob. 14RPCh. 4 - Prob. 16RPCh. 4 - Prob. 17RPCh. 4 - Prob. 18RPCh. 4 - Prob. 19RPCh. 4 - Prob. 20RPCh. 4 - Prob. 21RPCh. 4 - Prob. 22RPCh. 4 - Prob. 23RPCh. 4 - Prob. 24RPCh. 4 - Prob. 26RPCh. 4 - Prob. 27RPCh. 4 - Prob. 28RP
Knowledge Booster
Similar questions
- At the beginning of the first day (day 1) after grape harvesting is completed, a grape grower has 8000 kg of grapes in storage. On day n, for n = 1, 2, . . . ,the grape grower sells 250n/(n + 1) kg of the grapes at the local market at the priceof $2.50 per kg. He leaves the rest of the grapes in storage where each day they dryout a little so that their weight decreases by 3%. Let wn be the weight (in kg) ofthe stored grapes at the beginning of day n for n ≥ 1 (before he takes any to themarket).(a) Find the value of wn for n = 2.(b) Find a recursive definition for wn. (You may find it helpful to draw a timeline.)(c) Let rn be the total revenue (in dollars) earned from the stored grapes from thebeginning of day 1 up to the beginning of day n for n ≥ 1. Find a recursiveformula for rn.(d) Write a MATLAB program to compute wn and rn for n = 1, 2, . . . , num wherenum is entered by the user, and display the values in three columns: n, wn, rnwith appropriate headings.Run the program for num =…arrow_forwardYou wish to drive from point A to point B along a highway minimizing the time that you are stopped for gas. You are told beforehand the capacity C of you gas tank in liters, your rate F of fuel consumption in liters/kilometer, the rate r in liters/minute at which you can fill your tank at a gas station, and the locations A = x1, ··· , B = xn of the gas stations along the highway. So if you stop to fill your tank from 2 liters to 8 liters, you would have to stop for 6/r minutes. Consider the following two algorithms: (a) Stop at every gas station, and fill the tank with just enough gas to make it to the next gas station. (b) Stop if and only if you don’t have enough gas to make it to the next gas station, and if you stop,fill the tank up all the way. For each algorithm either prove or disprove that this algorithm correctly solves the problem. Your proof of correctness must use an exchange argument.arrow_forwardA coal mine purchased 3 years ago for $7 million was estimated to contain 4,000,000 tons of coal. During the past 3 years the amount of coal removed was 21,000, 18,000, and 20,000 tons, respectively. The gross income obtained in these 3 years was $257,000 for the first year, $320,000 for the second year, and $340,000 for the third year. What is the cost depletion allowance for year 1.arrow_forward
- . Employees of a certain firm are paid on hourly basis at the end of each week. If an employee works up to 40hrs, the employee is paid 6 GHS and 7 GHS per hour for a male and female respectively. If an employee works for more than 50 hours then the employee is also paid 2.5 the corresponding regular rate for hours worked in excess of 40. All employees are to pay 10 % of their gross as INCOME TAX and 2.5% towards the NHIS. If an employee has more than 3 children then he or she pays 2 cedis per child in excess of three towards GETFUND. Write a C++ program that can print onto screen the Net Salary of any staff onto screen. NB (NETSALARY is equal to gross salary less all deductions (VAT, NHIS, GETFUND). Write a C++ program and draw a flow chart for a software solution that can solve for the problem above.arrow_forwardThe public utilities commission has decided that the electric company overcharged its customers for two months last year. To make up the difference to the customers, the commission orders the company to decrease each of the next month’s bills by 10%. The city also levies a 3%utility tax, which is to be applied to the bill before it is discounted. Also, the10% discount does not apply to the utility tax. Assume electricity costs $0.16per kilowatt-hour. Write a program to compute the next month’s electricity bill given the number of kilowatt-hours consumed as inputarrow_forwardXYZ Company manufactures pressure relief inserts for thermal relief and low-flow hydraulic pressure relief applications where zero leakage is required. A machine purchased 3 years ago has been book-depreciated by the straight line method using a 5-year useful life. If the book value at the end of year 3 is $30,000 and the company assumed that the machine would be worthless at the end of its 5-year useful life. What is the book depreciation charge each year.arrow_forward
- Pneumatics Engineering purchased a machine that had a fi rst cost of $40,000, an expected useful life of 8 years, a recovery period of 10 years, and a salvage value of $10,000. The operating cost of the machine is expected to be $15,000 per year. The inflation rate is 6% per year and the company’s MARR is 11% per year. Determine the depreciation charge for year 3 according to the straight line method. (UNITS ARE REQUIRED)arrow_forwardWilson Creek Farm has 200 acres of land available for planting. The owner is considering planting three crops: corn, soybeans, and wheat. The production yield, water requirements, and labor requirements for a salable crop are given here. The owner expects to have only 35,000 gallons of water available per week to use for the crops, and during the growing season he will only have 8000 person-hours of labor available. The expected profit per bushel of each crop is $1.00 for corn, $1.60 for soybeans, and $3.00 for wheat. The owner can use any mix of crops (i.e., he can plant the same crop on all 200 acres or he can plant all three crops in different proportions). d. Solve the problem using Excel Solver Tool. Add supporting pictures from the software for each step. Discuss your output in line with the given reports from Excel. Bushels/ Acre Water Required Produced (gal/acre/week) Crop 300 Corn Soybeans 200 Wheat 80 200 150 125 Person-Hours Labor Required/Acre 35 40 30arrow_forwardplease solve in a quarter of an hour and they came An electricity distribution company wants to calculate the electricity fee to be paid by the subscriber according to the type of electricity usage place (Residential: u or U, Workplace: p or P) as follows; In workplaces; 3.78TL for each kilowatt-hour (kwh), In residences Up to the first 60 kWh, each kWh is 2.98 TL, Then, up to 120 kWh, each kWh is 3.62 TL, For more (more than 100 kWh), it charges 2.56 TL for each kWh. Using the C programming language, write an electricity bill calculation program in accordance with the rules below. 1-Use the switch.case structure while writing the program. 2-First, we ask the user for the 6-digit subscriber number. The user will enter a random 6-digit number after the program runs. 3- After entering the usage type, the first and last meter reading values will be entered randomly from the keyboard. Here, the first read value cannot be greater than the last read value. Create a blocking line for this…arrow_forward
- Six months before its annual convention, the AmericanMedical Association must determine how many rooms toreserve. At this time, the AMA can reserve rooms at a costof $50 per room. The AMA must pay the $50 room costeven if the room is not occupied. The AMA believes that thenumber of doctors attending the convention will be normallydistributed, with a mean of 5,000 and a standard deviationof 1,000. If the number of people attending the conventionexceeds the number of rooms reserved, extra rooms must bereserved at a cost of $80 per room. Use simulation todetermine the number of rooms that should be reserved tominimize the expected cost to the AMA.arrow_forward6. Beer bottles are filled so that they contain an average of 460 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 12 ml. You may find it useful to reference the z table.] a) What is the probability that a randomly selected bottle will have less than 452 ml of beer? (Round intermediate calculations to at least 4 decimal places, "z" value to 2 dècim al places, and final answer to 4 decimal places.) b. What is the probability that a randomly selected 6-pack of beer will have a mean amount more than 452 ml? Round intermediate calculations to at least 4 decimal places, "2" value to 2 decimal places, and finat answer to 4 decimal places.) c) What is the probability that a randomly selected 12-pack of beer will have a mean amount between 458 ml and 462ml? (Round intermediate calculations to at least 4 decimal places, «2" value to 2 decimal places, and final answer to 4 decimal places.)arrow_forwardThe table below describes the average voltage generated, A, in volts by an energy harvester for three days at three different times for each day. Referenced time Day 3. 3.0 V 1.8 V 0.9 V 1.9 V 2.2 V 1.7 V 0.5 V 1.1 V 2.2 V Given that the power generated in millivwatts (mW), P, can be calculated using the following equation: 500A? P = Where A is the voltage generated and R is the total resistance given as 2000 Q. Write a MATLAB/OCTAVE script to store the voltage data from the table as a single matrix, where the days represent the rows and the referenced times represent the columns of the matrix. Hence, in the same script, Calculate the power generated at each day and referenced time. i) ii) Compute and output the overall maximum power generated. Finally, compute and output the days and referenced times where the power generated exceeds 1.0 mW (Tips: You may want to use a nested loop OR the in-built MATLAB/OCTAVE function called 'find' here) iii)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