Concept explainers
Explanation of Solution
Formulation of pre-emptive goal
Take the following variables to solve the problem,
The pre-emptive goal programming can be formulated as given below,
Minimize,
Subject to,
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Chapter 4 Solutions
Operations Research : Applications and Algorithms
- The WIX Company Civil Engineers consists of two divisions. The divisions are Water and Waste Water. The company sells engineering services to various customers. The following are the bill rates for the various staff classifications: Vice President $200/hour Senior Engineer $180/hour Staff Engineer $150/hour. The two divisions expect to bill the following hours: Water- 10000 hours, vice president at 10% of the time, 30% of Senior Engineer time and remaining to Staff Engineers. Waste Water- 6000 hours, vice president at 20% of the time, 20% of Senior Engineer time and remaining to Staff Engineers. The Direct Labor costs per hours are as follows: Vice President $80/hour Senior Engineer $60/hour Staff Engineer $40/hour. The utilization for each staff members are as follows: Vice President 60% Senior Engineer 80% Staff Engineer 90%. The company has the following other costs: Admin Salaries $90,000 Rent $100,000 Utilities $6,000 Benefits $76,000 Assume 20% of time for each staff member…arrow_forwardA real estate agency pays a sales representative monthly minimum income of 1000, 54 TL, additional allowance according to his/her title, plus 200 TL for each property sold by the sales representative in that month and a certain amount of the sales amount. Additional allowance amounts by title and bonus rates are given in the tables below: Title Additional Allowance (TL) Trainee (1) 250 Beginner (2) 350 Expert (3) Senior (4) 500 750 Sales Amount (TL) Bonus Rate (%) 0- 499.999,99 0.25 500.000- 999.999,99 0.5 1.000.000- 1.999.999,99 0.75 2.000.000-.. 1 By adhering the rules stated above, find the total salary amount of a sales representative for a particular month, by obtaining the title of a sales representative from the user (1 for the trainee, 2 for the novice, 3 for the specialist, 4 for the senior), the number of real estate sold this month and the total sales amount made by the sales representative. Write a C code that prints the total salary on the screen using the switch-case…arrow_forwardGENERATE THE DECISION VARIABLE SOLUTION AND GENERATE AN ANSWER REPORT 2. During the winter WeeMow Lawn Service contracts with customers for cutting lawns starting in the spring. WeeMow provides service to residential and commercial customers. The service has identified 50 possible residential customers and 15 potential commercial customers it has contacted. WeeMow services a customer once every 2 weeks during the growing season. A residential lawn on average takes 1.2 hours to cut, and a commercial property requires 5 hours to cut; the service's available work time is 8 hours, 6 days per week. The profit for a residential lawn is $23, and the profit for a commercial property is $61. The service has established a weekly budget of $350 for management, gas, and other materials, plus equipment repair. A residential lawn averages $12 in management, gas, material, and repair costs, and a commercial property averages $20 in costs. WeeMow wants to know how many residential and commercial jobs…arrow_forward
- A company manufactures 3 products in 2 different factories. The cost of production and time required for production for each product varies depending on which factory produces it. The time and cost required for production of each product in each factory is provided in the tables in this worksheet. Demand for products 1, 2 and 3 are 200, 240 and 100 units, respectively. There are a total of 3,000 hours available in each factory. Additionally, at least 60% of the total units of Product 1 must be produced in Factory A, and at least 40% of of the total units of Product 2 must be produced in Factory B. Create a linear programming model and use the Solver add-in to determine the optimal production plan that will minimize total cost. Note: The cost is per unit not per hour. All demand must be met.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_forwardQUESTION 1 An admission charge for Bandar Orchid Wetlands varies according to the age of the customer as in Figure 1. The system will receive the input for the number of persons for each category as in Figure 2. Then, it will calculate and display the total charge (include SST 8%) and the category Figure 3. [Assume all items are required. The process is not involving any decision]. Category (Age) 50 and above 13- 49 7-12 4-0 Charge (RM) 30.00 35.00 25.00 15.00 Below 4 Figure 1: Charges for Visitors Free The Bold items are the input from the user. WELCOME TO BANDAR ORCHID WETLANDS Enter the number of persons for each category Age Over 50 Age 13 - 50 Age 7 - 12 Age 4 - 6 Age Below 4 1 2 Figure 2: The Input Total for Over 50 (1 Fersons): BM 30.00 Total for 13 - 50 (2 Persons): RM 70.00 Total for 7 - 12 (4 Persons): RM 100.00 Total for 4 - 6_(O Persons): RM 0.00 Total for Below 4 (FREE) : RM 0.00 ITEMS RM 200.00 12.00 TOTAL 3ST (6R) SUB-TOTAL = 212.00 THANK YOU.ENJOY YOUR HOLIDAY!! Figure…arrow_forward
- BU School of Witchcraft and Wizardry is a school of magic that sends admission letters only to children with magical abilities. The admissions process for BU School of Witchcraft and Wizardry is as follows:- If both parents of the child have previously studied at BU, they do not need to reply to the admission letter. Otherwise they need to reply to the admissions letter by July 31. If they do not reply by the specified date, they are not accepted to the school. BU has 4 houses that students are sorted into by the sorting hat “Hayri”. These houses are; Gryffindor, Hufflepuff, Ravenclaw and Slytherin. Hayri sorts the students into houses according to 2 characteristics; braveness and intelligence.- If Hayri finds the student to be brave and intelligent, they are sorted into Gryffindor.- If the student is found to only be brave, they are sorted into Slytherin.- If the student is found to only be intelligent, they are sorted into Ravenclaw.- Finally, if they are neither brave nor…arrow_forwardA real estate agency pays a sales representative monthly minimum income of 1000, 54 TL, additional allowance according to his/her title, plus 200 TL for each property sold by the sales representative in that month and a certain amount of the sales amount. Additional allowance amounts by title and bonus rates are given in the tables below: Title Additional Allowance (TL) Trainee (1) Beginner (2) 250 350 Expert (3) 500 Senior (4) 750 Sales Amount (TL) Bonus Rate (%) 0- 499.999,99 0.25 500.000- 999.999,99 0.5 1.000.000- 1.999.999,99 0.75 2.000.000-... 1 By adhering the rules stated above, find the total salary amount of a sales representative for a particular month, by obtaining the title of a sales representative from the user (1 for the trainee, 2 for the novice, 3 for the specialist, 4 for the senior), the number of real estate sold this month and the total sales amount made by the sales representative. Write a MATLAB code that prints the total salary on the screen using the…arrow_forwardA student may apply for an arts college or an engineering college after his school. Admission to arts college or engineering college, is based on the marks obtained in the six subjects: English, Second language, Maths, Physics, Chemistry and Computer Science. Both the applications have the following details: application number, name, age, marks in all six subjects and cut-off for the eligibility. For Arts college, cut-off is the average of marks in all the subjects and whereas for engineering colleges cut-off is the average of marks in maths, physics, chemistry plus the marks scored in the entrance exam. Given all the required details, Design an OOP model to compute the cut-off marks and implement it using Java.arrow_forward
- Consider the following Scenario the Modeling of which you have completed in Assignment1: The Ministry of XYZ is the government body in the in charge of religious affairs. The application for Hajj is submitted to the hajj directorate, part of XYZ Ministry. Initial documents are submitted to the hajj directorate for registration. Documents are checked and verified by the Assistant Registration Officer. There are two categories of applicants based on their nationality. Specified percentage of seats are fixed for locals and other nationals. A unique registration number is issued to each applicant by the Assistant Registration Officer. After the completion of registration process, each applicant is asked to submit the detailed documentation which includes passport, vaccination certificate, medical certificate, receipts of payments. One Additional document (permission letter from home country) is needed for other national. Payments can be made through cash or card. Assistant Registration…arrow_forwardKatanga Stars is a team of women who perform cultural dance at various functions across the country. The team has a fixed membership of 9 members. Within these 9 members, there is a management committee of 4 members. For each function where they are hired to perform, the amount collected is different and is distributed as follows;• 50% of the fees goes to the consolidated account where each member owns equal shares.• The remaining 50% is shared among the 9 members such that each of the 4 management committee members gets 6.25% and each of the other members not on management committee gets 5%.For example, suppose Katanga Stars is paid UGX 1,000,000/= for a performance at a certain wedding ceremony, then, UGX 500,000/= goes to the consolidated account. Each management committee member gets UGX 62,5000/= while each of the other members gets UGX 50,000/=By assuming that Katanga Stars performs in exactly 5 places in a year, write a C program that performs the following tasks;• Uses a loop…arrow_forwardUse the table below to answer the questions in Group B. Lawn Service Comparisons (unless otherwise noted, dollars are yearly) Mowing, Trimming, Bagging (if necessary) May 1st through Oct. 31st Lawn Lawn Service Service A $1040 $125/cut $2.50/linear foot Trimming Bushes, Hedges included Lawn Fertilizations, and Aeration $170 $225 Weed and Seeding Control Fall and Spring Raking and Clean-Up $20/application included $205 $475arrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole