Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 4RP
Program Plan Intro
Linear
- The linear programming(LP) is also known as linear optimization.
- Consider a mathematical model, and its requirements are used to represent by the linear relationships. The linear programming is the best method to achieve the best outcome of this mathematical model. The outcomes may be, maximum profit or lower cost.
- The linear optimization is also called as mathematical optimization because, it is a special case of mathematical programming.
- More formally, the LP is a technique for optimizing linear objective function subject to constraints of linear equality and linear inequality.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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?
Maps
Remaining Time: 58 minutes, 28 seconds.
Question Completion Status:
QUESTION 11
Rs
120 2
Vs
20 V
RL
The source in Figure 2 has an internal resistance of 120 Ohm. Determine the load power for each of the following values of the variable load
resistance
(a) 00
O a. 330 mW
O b.0 mW
O c. 450 mW
O d. 500 mW
Q5/ A beam with a length L is attached to the wall with a cable as shown.
A load W = 400 lb.
is attached to the beam. The tension force, T,
in the cable is given by: T=!
WL√/h²+x²
hx
For a beam with L = 120 in and h=50 in
calculate T for x = 10, 30, 50, 70, 90, and 110 in.
Chapter 3 Solutions
Introduction to mathematical programming
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 Fincos 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 - Prob. 31RPCh. 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
- R2= 5 Ω, 10 Ω and 15 Ω, calculate i2 with each R2? If the value of the resistor R2 is in Ω, maximum power transfer will be achieved. ( how much aum is required to reach maximum power for R2) Maximum power that can be transferred to resistor R2 PR2max=?arrow_forwardA company manufactures two types of trucks. Each truck must go through the painting shop and the assembly shop. If the painting shop were completely devoted to painting type 1 trucks, 800 per day could be painted, whereas if the painting shop were completely devoted to painting type 2 trucks, 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, 1500 per day could be assembled, whereas if the assembly shop were completely devoted to assembling truck 2 engines, 1200 per day could be assembled. It is possible, however, to paint both types of trucks in the painting shop. Similarly, it is possible to assemble both types in the assembly shop. Each type 1 truck contributes $1000 to profit; each type 2 truck contributes $1500. Use Solver to maximize the company’s profitarrow_forwardWrite a script that will create 10,000 random resistors with a normal distribution, a mean of 100 ohms, and standard deviation of 15 ohms. Perform the following operations with the resistor data using logical vectors where appropriate. Output the total number of resistors created along with their actual mean and standard deviation as they will differ slightly from the values given. Output the percentage of resistor with values > mean and < mean. • Output the percentage of resistors within +/- 1 Standard Deviation of the mean. • Repeat step 3 for +/- 2 Standard Deviations and +/- 3 Standard Deviations. • Output the resistor position numbers and the corresponding resistor values for all resistors outside of +/- 3 standard deviations of the mean. • Name the program file Program_05_2.m • Your output should match the output shown below. Add the standard comments similar to those that appear at the top of each tutorial and clearly label your output following the example shown below.arrow_forward
- An assembly line with 30 activities is to be balanced. The total amount of time to complete all 30 activities is 60 minutes. The longest activity takes 2.4 minutes and the shortest takes .3 minutes. The line will operate for 480 minutes per day. What are the maximum and minimum cycle times? (using the cycle time formula) How much daily output will be achieved by each of those cycle times?arrow_forwardA farmer in Georgia has a 100-acre farm on which to plant watermelons and cantaloupes. Every acre planted with watermelons requires 50 gallons of water per day and must be prepared for planting with 20 pounds of fertilizer. Every acre planted with cantaloupes requires 75 gallons of water per day and must be prepared for planting with 15 pounds of fertilizer. The farmer estimates that it will take 2 hours of labor to harvest each acre planted with watermelons and 2.5 hours to harvest each acre planted with cantaloupes. He believes that watermelons will sell for about $3 each, and cantaloupes will sell for about $1 each. Every acre planted with watermelons is expected to yield 90 salable units. Every acre planted with cantaloupes is expected to yield 300 salable units. The farmer can pump about 6,000 gallons of water per day for irrigation purposes from a shallow well. He can buy as much fertilizer as he needs at a cost of $10 per 50-pound bag. Finally, the farmer can hire laborers to…arrow_forwardSubject: Engineering of Materials Class: Second (Morning) Ministry of Higher Education and Scientific Research Southern Technical University Time: An hour and a half Engineering Technical College/Basrah Date: 6/2/2022 Dep. Of Thermal Mechanical Eng. First semester exam (2020-2021) 120 Q1:A/ Answer the questions for the figure below: 1-Re-arrange the curves (A,B and C) from the maximum to minimum according to (Young's modulus, Tensile Strength and Ductility). 2- What does represent the area under curve A? derive the mathematical relation of it. 3- How can find the modulus of elasticity of curve C. 4- Discuss the effect of temperature on (stiffness ductility, Toughness and point of fracture). 5- Determine the true stress at fracture if the engineering fracture strength of 460 MPa, (d. = 12.8 mm, d 10.7mm) Q2:A/ chose lor 2 1- Show that the Atomic packing factor for FCC is 0.74. 2- Determine Quantum numbers for each electron when n= 2 B/1- Within a cubic unit cell, sketch the following:…arrow_forward
- An 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_forwardTwo buses, X and Y, start their journey at the same time on a 950 km route. Bus X gives a 1-hour break after every 3 hours' drive. So, it is at rest at the 4th, 8th, 12th, 16th, 20th, ... hours. Bus Y gives a 1-hour break after every 4 hours' drive. So, it is at rest at the 5th, 10th, 15th, 20th, 25th,... hours. You are given the speeds of the two buses Vx and Vy as 80 and 75, respectively. Write a program that does the following: • Evaluate and display at the end of every hour the distance traveled by each bus. When either one of the buses reach their destination, the evaluations terminate. Depending on whether X or Y or both reach their destination in the last hour, display one of the following messages before stopping (where n is the number of hours): o "Within hour n, bus X reaches its destination." "Within hour n, bus Y reaches its destination." o "Within hour n, both buses reach their destinations." Sample screen output: After hour 1, X is at 80 km, Y is at 75 km. After hour 2, X…arrow_forwardQuestion 34 Frontline Agricultural Processing Systems uses several ingredients to make wheat crackers. After several years of operations and testing, their scientists found high protein and carbohydrates in two of their ingredients, barley and corn. While an ounce of barley costs $0.25, an ounce of corn costs $0.46. While an ounce of barley provides 9 mg of protein and 1 mg of carbohydrates, an ounce of corn provides 7 mg of protein and 5 mg of carbohydrates. Recently, demand for wheat crackers has increased. To lower the overall cost of producing wheat crackers, Frontline Agricultural Processing Systems will want to know how many ounces of barley and corn to include in each box of wheat crackers to meet the minimum requirements of 160 milligrams of protein and 40 milligrams of carbohydrates. If the carbohydrate requirement is reduced by 2 milligrams, how much reduction would the optimal cost change by? Round to 2 decimal places.arrow_forward
- A pharma company produces two types of Active Pharmaceutical Ingredients (API), API T and API C. Many biochemical materials are usually necessary to produce a small amount of APIs. To produce 1kg of API T, one must use 5kg and 10kg of biochemical materials W and P, respectively. To produce 1kg of API C, one must use 4 kg and 5 kg of biochemical materials W and P, respectively. It costs $100 and $60 to produce 1kg API T and C, respectively. The pharma company can spend $600 at most to produce the APIs. Taking into account yield uncertainties of the APIs, the pharma company has two goals as follows. Goal 1: The total amount of biochemical material W should be 35kg or more (i.e., approximately 35kg, ideally more than 35kg. In the worst case, the amount is less than 35kg.) Goal 2: The total amount of biochemical material P should be 60kg or less (i.e., approximately 60kg, ideally less than 60kg. In the worst case, the amount is more than 60kg.) The pharma company must determine how much…arrow_forwardTyrael hired a lawn mower man to cut off the grass around his house. He was informed by the agency that the laborer should be paid depending on the number of hourse in trimming the grass and this costs 350.00/hr. Upon the assessment of the laborer to the lawn, the laborer mentioned that it takes 15 minutes per sqm to do the trimming. Tyrael's rectangular house is situated on a rectangular lot. Your task is to design a program that calculates the amount of time to trim the grass and the cost of the service. To do the calculations, the program should ask inputs for the length and width of the house and the lot. Language: JAVAarrow_forwardTruckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. How much capacity in percent does a single truck of each type uses at each shop?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