Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Expert Solution & Answer
Chapter 3.8, Problem 14P
Explanation of Solution
Formulating a Linear Problem
- The steps for defining a linear problem include:
- Identifying the decision variables.
- Writing the objective function.
- Mentioning the constraints.
- Explicitly stating the non-negativity restriction.
- A problem will be a linear problem if and only if the decision variables, objective function and constraints all are linear functions.
- If all the three conditions are satisfied, then it is a linear problem.
- Let
- LINDO is a software package for linear
programming and it helps to get a good feasible solution quickly. - Hence in this case, the linear problem in LINDO form is
Subject to
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Normalize the following table, given 1NF, 2NF and BCNF:
Made By1
Made By2
Made In
Hair Type
To Process
PNO
Comp Name
Dry
France
600
GARNIER
Hair Loos
Almond
710
Corter
Castor
Almond
France
GARNIER
Greasy
350
Honey
Olive Oil
UAE
SUNSILK
Both
Hair Loos,
Corter
Question 31
A survey on pollution has been conducted on four cities. The degree of pollution is classified as not
polluted, moderately polluted, and heavily polluted. The results of the survey are illustrated in the table
below:
City
city1
city2
city3
city4
Xi1: not polluted
0.3
0.2
0.1
0.7
X12: moderately polluted
0.4
0.2
0.2
0.4
Xi3: heavily polluted
0.3
0.6
0.5
0.1
Use the cosine amplitude method to develop the fuzzy relation R that relates the pollution degree to the
city.
If 15% of the product has been
returned to the company and the
company decided to recycle the
products to avoid loss, then which
of the given is considered as a
data? *
a.15% of the product has been returned
to the company
b. the company decided to recycle the
products
c. the company does not want loss
d. 85% of the products are quality
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
- After merging all the Colleges in University of Technology and Applied Sciences (UTAS) the course registration process is as follows: A student may register for classes during a specified registration period. To register, a student must see their advisor. The advisor must approve each course that the student has selected. The advisor will use the registration system to determine if the student has met the course prerequisites, is in good academic standings and is eligible to register. If the advisor approves the courses, the advisor enters the student's college id into the course registration system. The course registration number for each course is entered. The course description, course number and section for those courses will automatically display. The system will check for schedule conflicts before saving the registrations. A bill for the courses will print in the Bursar's office. The student should proceed to pick it up. A)ldentify the nouns that are used to identify the…arrow_forwardNote: Draw neat and label diagram wherever necessary, Assume suitable data if necessary Q.1 A chilling plant has inside dimensions 70 cm length, 50 cm width and 130 cm height. The walls of the chilling plant are 3mm thick. Temperature inside the chilling plant is to be maintained at 4°C. The walls of chilling plant are insulated with fibre glass 75 mm thickness. The outer metal cover is provided over the insulation have 3 mm thickness. The surrounding air temperature is 30°C. Film coefficient of heat transfer at the inner surface of chilling plant and at the outer surface of the chilling plant are 10 W/m2 °C and 113.5 W/m2 °C respectively. k(metal wall) = 43 W/m °C , k(fibre glass) = 0.035 W/m °C At steady state operation, Calculate: 1) The rate of removal for chilling plant; 2) The temperature at the inner and outer surface of insulation; 3) Temperature at the outer surface of metal wall [7]arrow_forwardPlease Explain the cardinality ratios of the Er diagramarrow_forward
- After merging all the Colleges in University of Technology and Applied Sciences (UTAS) the course registration process is as follows: A student may register for classes during a specified registration period. To register, a student must see their advisor. The advisor must approve each course that the student has selected. The advisor will use the registration system to determine if the student has met the course prerequisites, is in good academic standings and is eligible to register. If the advisor approves the courses, the advisor enters the student's college id into the course registration system. The course registration number for each course is entered. The course description, course number and section for those courses will automatically display. The system will check for schedule conflicts before saving the registrations. A bill for the courses will print in the Bursar's office. The student should proceed to pick it up. b)Draw a class diagrams which represents the generic…arrow_forwardDuyong Beach Resort is a contemporary hotel that offers rooms with private balconies that face the sea. Your company has obtained a contract from Duyong Beach Resort to design, maintain and update their online reservation system. All room's prices are subjected to tax and service charge. Therefore, total room price must include 6% of tax and 10% of service charge. Table 1 lists price per night, tax, and service charge for all type of rooms. (b) Room Type Standard (S) Deluxe (D) Family (F) (c) (a) float calculate_basicPrice (char roomType, int night) ● You have been assigned to create and implement this task using C program. You have been instructed to include the following functions: Table 1: List of Price for All Rooms Price per Night Tax Charge RM 230.00 RM 300.00 RM 420.00 accept roomType and reservation duration (night) from main function calculates basic room price for number of night(s) entered according to Table 1 return basic room price to main function void calculate_charges…arrow_forwardUse the 20 year Global Warming Potential (GWP) values in the first Table to calculate an equivalent CO2 emission rate for worldwide greenhouse gas emissions as given in the second table. Assume that total CFCs are divided equally among the three compounds listed. What is the percentage contribution of actual CO2 emissions to the total equivalent CO2? What is the next most important greenhouse gas emission based on this analysis? How do these results compare to those using the 100-year GWP.arrow_forward
- Sun and Earth (S&E) is a company set up to conduct geological explorations of parcels of land in order to ascertain whether significant metal deposits (worthy of further commercial exploitation) are present or not. Current (S&E) has an option to purchase outright a parcel of land for £3m. If (S&E) purchases this parcel of land then it will conduct a geological exploration of the land. Past experience indicates that for the type of parcel of land under consideration geological explorations cost approximately £1m and yield significant metal deposits as follows: manganese 1% chancegold 0.05% chancesilver 0.2% chance Only one of these three metals is ever found (if at all), i.e. there is no chance of finding two or more of these metals and no chance of finding any other metal. If manganese is found then the parcel of land can be sold for £30m, if gold is found then the parcel of land can be sold for £250m and if silver is found the parcel of land can be sold for £150m.…arrow_forwardSun and Earth (S&E) is a company set up to conduct geological explorations of parcels of land in order to ascertain whether significant metal deposits (worthy of further commercial exploitation) are present or not. Current (S&E) has an option to purchase outright a parcel of land for £3m. If (S&E) purchases this parcel of land then it will conduct a geological exploration of the land. Past experience indicates that for the type of parcel of land under consideration geological explorations cost approximately £1m and yield significant metal deposits as follows: manganese 1% chance gold 0.05% chance silver 0.2% chance Only one of these three metals is ever found (if at all), i.e. there is no chance of finding two or more of these metals and no chance of finding any other metal. If manganese is found then the parcel of land can be sold for £30m, if gold is found then the parcel of land can be sold for £250m and if silver is found the parcel of land can be sold for £150m.…arrow_forwardUML Activity Diagram for plotting the unemployment rate include swimlanes.arrow_forward
- Convert the following epsilon-NFA to its equivalent NFA.arrow_forwardCompute the volumes of cut and fill between stations 88+30 to 88+68 using the slope stake notes in the table on the following page. Use the average end area equation except for when the section produces a pyramid. In those situations, use the equation for a pyramid. Assume: Base Widths: cut = 50 ft; fill = 40 ft | Side Slopes: 2:1 | Gradient: -2% SURFACE GRADE STA L CL R ELEV. (ft) ELEV. (ft) C18.1 C10.2 92+00 891.6 874.63 C17.0 61.2 45.4 0 0 0 0 91+52 8575.6 875.59 0.0 25 20 20 25 F6.9 F11.4 91+00 864.5 876.63 F12.1 33.8 42.8 F8.2 F10.1 90+50 867.3 877.63 F10.3 36.4 40.2 F12.8 90+05 875.3 878.53 F3.2 20 45.6 C16.3 F12.2 89+73 879.2 879.17 57.6 44.4 C17.4 F8.3 89+59 885.6 879.45 C6.1 59.8 14 36.6 C10.2 F7.3 89+43 879.8 879.77 45.4 34.6 F16.1 89+08 873.7 880.47 F6.8 20 52.2 C16.8 F12.9 88+68 881.3 881.27 58.6 45.8 C24.0 88+30 890.9 882.03 C8.9 73.0 25arrow_forwardCalculate the CV of 2 products and compare stability. Data is given below: Week-1: onion-52, potato-22 Week-2: onion-48, potato-23 Weak-3:Onion -50, Potato-52 Weak-4:Onion-69, Potato-65 Week-5: onion-69, potato-51 Week-6: onion-71, Potato-61 Weak-7:Onion-63, Potato- 37 Weak-8: Onion-68, Potato- 41 Weak-9: onion-66, potato-37 Weak 10 onion 43, potato-30 Solve the mathematical problem in Python Programming language. And give the screenshot of the output.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
Np Ms Office 365/Excel 2016 I NtermedComputer ScienceISBN:9781337508841Author:CareyPublisher:Cengage
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole
Np Ms Office 365/Excel 2016 I Ntermed
Computer Science
ISBN:9781337508841
Author:Carey
Publisher:Cengage