Use the- two steps for solving a linear programming problem, given in the box on page 606, to solve the problems in Exercises 17-23.
In 1978, a ruling by the Civil Aeronautics Board allowed Federal Express to purchase larger aircraft. Federal Express's options included 20 Boeing 727s that United Airlines was retiring and/or the French-built $$$ Fanjet Falcon 20. To aid in their decision. executives at Federal Express analyzed the following data:
• ? Boeing 727 Falcon 20
Direct Operating Cost SI400 per hour $500 per hour
Pa>load -12.000 pounds 6000 pounds
Federal Express was raced with the following constraints:
• Hourly operating cost was limited to $35,000.
• Total payload had to be at least 672,000 pounds.
• Only twenty 727s were available.
Given the constraints, how many of each kind of aircraft should Federal Express have purchased to maximize the number of aircraft?
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Algebra and Trigonometry (6th Edition)
- Three instructors, Ms. Busby, Mr. Butler, and Mrs. Hutchison, assign projects in their precalculus classes. Some students use graphing calculators with their project, and some do not. The following table summarizes the number of students in each type of project: Calculator No Calculator Total Calculator Busby Butler Hutchinson Total 14 11 19 44 18 39 29 83 No Calculator 12 26 6 (a) Form a related table with entries that are relative frequencies. (Round your answers to three decimal places.) Busby Hutchinson 28 Butler (b) Based on the relative frequencies, estimate the probability that a student selected at random uses a graphing calculator. (Round your answer to three decimal places.) (c) Based on the relative frequencies, estimate the probability that a student selected at random is Ms. Busby's student and does not use a graphing calculator. (Round your answer to three decimal places.) (d) Based on the relative frequencies, estimate the probability that a student selected at random is…arrow_forwardPlease solve d,e,f sub-partsarrow_forwardAn inventor has developed a system that allows visitors to museums, zoos, and other attractions to get information at the touch of a digital code. For example, zoo patrons can listen to an announcement (recorded on a microchip) about each animal they see. It is anticipated that the device would rent for $3.00 each. The installation cost for the complete system is expected to be about $400,000. The Milwaukee Zoo is interested in having the system installed, but management is uncertain about whether to take the risk. A financial analysis of the problem indicates that if more than 10% of the Zoo visitors rent the system the zoo will make a profit. To help make the decision, a sample of 400 zoo visitors is given details of the system’s capabilities and cost. Forty eight people say they would rent the device. c). Estimate the actual percentage of the visitors who would rent the system using a 98% confidence interval using Minitab.arrow_forward
- Consider the following scenario and select the best answer: A company is trying to determine how to allocate its $145.000 advertising budget for a new product. The company is considering newspaper ads and television commercials as its primary means for advertising. The following table summarizes the costs of advertising in these different media and the number of new customers reached by increasing amounts of advertising. Media & No. of Ads No. of New Customers Cost per Ad Reached Newspaper: 1-10 900 $1,000 Newspaper: 11-20 700 $900 Newspaper: 21-30 400 $800 Television: 1-5 10,000 $12,000 Television: 6–10 7,500 $10,000 Television: 11-15 5.000 $8,000 For instance, each of the first 10 ads the company places in newspapers will cost $1,000 and is expected to reach 900 new customers. Each of the next 10 newspaper ads will cost $900 and is expected to reach 700 new customers. Note that the number of new customers reached by increasing amounts of advertising decreases as the advertising…arrow_forwardIrena Davies manages a portfolio of 200 ordinary shares. Her staff classified the portfolio of shares by 'industry sector' and 'investment objective'. Investmentindustry Sector Objective ElectronicsAirlines Growth Income Total Are 'Healthcare' and 'Income' independent, why or why not? Select one: No, because P(Healthcare | Income) + P(Healthcare) No, because P(Healthcare) + P(Income) Yes, because P(Healthcare N Income) = P(Healthcare) P(Income) Yes, because P(Healthcare N Income) # 0 100 20 120 Healthcare Total 10 20 30 40 150 10 50 50 200arrow_forwardThe owner of a thriving business wants to open a new office in a distant city. If he can hire someone who will manage the new office honestly, he can afford to pay that person a weekly salary of $2,000 ($1,000 more than the manager would be able to earn elsewhere) and still earn an economic profit of $500. The owner's concern is that he will not be able to monitor the manager's behavior and that the manager would therefore be in a position to embezzle money from the business. The owner knows that if the remote office is managed dishonestly, the manager can earn $3,500, which results in an economic loss of $400 per week. (Hint. Construct a decision tree to help you answer the questions below.) a. If the owner believes that all managers are narrowly self-interested income maximizers, will he open the new office? O Yes O No b. Suppose the owner knows that a managerial candidate condemns dishonest behavior, and who would be willing to pay up to $5,000 to avoid the guilt she would feel if…arrow_forward
- RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 10 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. a. Given the costs below, draw a network representation for this problem. Repair Shops Used Car Lots S1 S2 L1 L2 L3 Auction 1 460 520 S1 250 300 500 Auction 2 450 500 S2 300 550 450 b. Formulate this problem as a transshipment…arrow_forwardA linear programming computer package is needed. Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 4,500 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Component Manufacturing Cost Purchase Cost Frame Support Min Strap Component Frame Support Strap Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows. Cutting constraint Milling constraint Shaping constraint Frame…arrow_forwardThe attached file contains hypothetical data for working this problem. Goodman Corporation’s and Landry Incorporated’s stock prices and dividends, along with the Market Index, are shown in the file. Stock prices are reported for December 31 of each year, and dividends reflect those paid during the year. The market data are adjusted to include dividends. Construct a scatter diagram graph that shows Goodman’s and Landry’ returns on the vertical axis and the Market Index’s returns on the horizontal axis.arrow_forward
- The ABC Company wants to increase its sales for the next quarter by promoting its product nationwide. The company has budgeted up to P1,000,000 per month for advertising. The money is to be allocated among four promotional media: TV spots, newspaper ads, and two types of radio advertisements. The company’s goal is to reach the largest possible high potential audience through various media. The following table presents the number of potential customers reached by using an advertisement in each of the four media. It also provides the cost per advertisement placed and the maximum number of ads purchased per month. ABC’s policy requires at least five radio spots to be placed each week. To ensure broad- scoped promotional campaign, management also insists that no more than P400,000 be spent on newspaper advertising every month. MEDIUM AUDIENCE REACHED PER AD COST PER AD MAXIMUM ADS PER month TV Spot (1 Minute) 9,000 P 40,000 15 Daily Newspaper (full-page ad)…arrow_forwardWith readable solutions. Thank uarrow_forwardI need help with #1arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning