Philippine Airlines (PAL) is considering air service from its hub ofoperations in Cicely, Alaska, to Rome, Wisconsin, and Seattle,Washington. PAL has one gate at the Cicely Airport, which operates 12hours per day. Each flight requires 1 hour of gate time. Each flight toRome consumes 15 hours of pilot crew time and is expected to producea profit of $2,500. Serving Seattle uses 10 hours of pilot crew time perflight and will result in a profit of $2,000 per flight. Pilot crew labor islimited to 150 hours per day. The market for service to Rome is limitedto nine flights per day.a. Use the graphic method of linear programming to maximize profits forPhilippine Airlines.b. Identify positive slack and surplus variables, if any.

We need to maximize profit and find surplus.

Answered: Philippine Airlines (PAL) is…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The company is engaged in the handmade production of furniture. Its main products are chairs, dining tables and beds. It employs a total of 16 people in production. In addition to regular employees who work full-time 8 hours a day, the company also has several part-time and disabled people working 4 hours a day. It spends 414 thousand SEK on the salaries of its employees per month. The average earnings of a regular employee is 36 thousand SEK /month, the average earnings of temporary and handicapped workers are the same 18 thousand SEK/month. Currently, there are 2 times more part-time employees than disabled workers. What is the total number of handicapped employees? Hint: Use a system of linear equations for the calculation
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ou are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.+ Your home has 40 light fittings and 1,300 square feet of uninsulated exterior wall. You can spend no more than $1,400 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs
O'Connel Airlines is considering air service from its hub of operations in Cicely, Alaska, to Madison, Wisconsin, and Seattle, Washington. O'Connel has one gate at the Cicely Airport, which operates 10 hours per day. Each flight requires 1 hour of gate time. Each flight to Madison consumes 15 hours of pilot crew time and is expected to produce a profit of $3000. Serving Seattle uses 10 hours of pilot crew time and will result in a profit of $2500 per flight. Pilot crew labor is limited to 120 hours per day. The market for service to Seattle, Washington is limited to a maximum of eight flights per day. Formulate this problem and then SOLVE it using the graphical solution method. The objective is to maximize profits for O'Connel Airlines.
A local news channel plans a 36-minute Saturday morning news show. The show will be divided into three segments involving sports, news, and weather. Market research has shown that the sports segment should be twice as long as the weather segment. The total time taken by the sports and weather segments should be twice the time taken by the news segment. On the basis of the market research, it is believed that 50, 70, and 60 (in thousands) viewers will watch the program for each minute the sports, news, and weather segments, respectively, are on the air. Use the simplex method to complete parts (a) and (b). (a) Find the time that should be allotted to each segment in order to get the maximum number of viewers. Find the number of viewers. Set up the linear programming problem. Let x₁, x₂, and x3 be the number of minutes taken by the sports, news, and weather segments, respectively, and let z be the number of viewers in thousands. subject to x₁ + x₂ + x3 -X₁ + 2x3 -X₁+2x2-x3 x₁20, X₂20, x3…
A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling is 3200 minutes, and the total available time for packaging is 960 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week? Note that the ALEKS graphing calculator can be used to make computations easier. k trol Model A: unit(s) Model B: unit(s) Continue 1 Q A 2 option X NO 2 Z W S 5 # 3 ME P X E H command $ 4 D 9 R C % 5 F T A V 6 FO G Y 8 7 B Submit A © 2023 McGraw HRLLC Al Rights Reserved forms of Use | Plicy Center the # WY 8 U Deft FN J N 3 9 K M O < P 1 g
A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, four 2 ✕ 4's, and four sheets of plywood. The carpenter has 80 boxes of screws, 145 2 ✕ 4's, and 170 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 12 shelves and 29 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 12 shelves and 29 tables? The carpenter has boxes of screws, 2 ✕ 4's, and sheets of plywood leftover.
Monoblocs, Inc. manufactures set-it-up-yourself furniturefor students. He currently makes twoproducts,bookcases and tables. Each bookcase contributes P240to profits and each table, P200. Each product passesthrough two manufacturing departments, cutting andfinishing. Book- cases take 4 hours a unit in cutting and 4hours in finishing. Tables require 3 hours a unit in cuttingand 5 in finishing. There are currently 40 hours availablein cutting and 30 in finishing. Find the product mix thatwill produce that maximum profit.
Astra company manufactures bamboo toy chairs and chess sets. Each bamboo toy chair yields a profit of $3, and each chess set, $6. A bamboo toy chair requires 5 hours of processing at Machine A and three hours at Machine B, and one hour at Machine C, while a chess set requires seven hours at Machine A, seven hours at Machine B, and one hour at Machine C. Machine A has a maximum of 130 hours of available capacity per day. Machine B has 95 hours, and Machine C has 20 hours. If the company wishes to maximize profit, how many bamboo toy chairs and chess sets should be produced per day? Solve this problem using graphical method and please explain the steps on how you solve it. Thank you :))
An investor has $5000 to invest in three different accounts. One is low-risk,one is a medium-risk and the third is a high-risk investment. The low-risk account is expected to pay 5.2% interest, the medium-risk investment is expected to pay 6.7% interest and the high-risk investment is espected to pay10.3% interest. Due to her age, the investor is willing to invest twice as much money in the high-risk account as in the low-risk investment. How much money should be invested in each of the accounts to anticipate a return of 8% on the total investment.
The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month. All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the goal of the maintenance department to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective maintenance. How many hours each month are spent performing preventive maintenance if they achieve their 90% utilization and correct/preventive mix targets?
Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of Super- Fit takes 12 minutes to cut and 30 minutes to sew and finish. Each pair of Super-Hug takes 12 minutes to cut and 40 minutes to sew and finish. The plant has enough workers to provide at most 12,599 minutes per day for cutting and at most 37,999 minutes per day for sewing and finishing. The profit on each pair of Super-Fit is $6.00 and the profit on each pair of Super-Hug is $7.00. How many pairs of each style should be produced per day to obtain maximum profit? Find the maximum daily profit. (Use x for Super-Fit and y for Super-Hug.) Maximize P = < 12,599 ≤37,999 Maximum profit is $ subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round jeans to 1 decimal place and profit to 2 decimal places. Number of Super-Fit jeans to…

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