In Problems 17-20, use Excel or some other technology.
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Mathematical Applications for the Management, Life, and Social Sciences
- Hello, I need help on solving this problem, please. Cartwell Associates, a real state de veloper, is planning to build a new apartment complex consisting of x one-bedroom units, y two-bedroom townhuses and z three-bedroom townhouses. A total of 198 units are planned, and the number of family units (two-and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex _______________=198 _______________=y+z _______________=3zarrow_forwardhere is the problemarrow_forward1. A Garments Factory produces 2 kinds of curtains: Curtain A and Curtain B. For materials, the factory has 2250 sq. meter of satin fabric and 1200 sq. meter of silk fabric. To produce curtain A, it needs 6 sq. meters of satin fabric and 4 sq, meters of silk fabric , while producing curtain B requires 3 sq. meters of satin and 1 sq. meter of silk fabric. If the curtain A can sold for P 200 per set and Curtain B can be sold for P 150 per set, what is the number of curtain A and curtain B that the garment factory must produce to obtain a maximum sale?arrow_forward
- The Phony TV company makes two different types of television sets, OLED and LED, which are assembled by two different assembly lines. When Line One operates it assembles 30 units of the OLED model and 50 units of the LED model per hour. Line Two assembles 40 units of the OLED model and 40 units of the LED model per hour. Let x be the number of hours that Line One operates and y the number of hours Line Two operates. Phony needs to produce at least 3000 units of the OLED model and 4000 units of the LED model to fill an order. (a) Write down the inequalities that describe the assembly constraints. (b) Graph the feasible region determined by these constraints.arrow_forwardHC8Q2. PAN Furniture Company incurred the following are the costs to manufacture furniture • Cost of Materials • Cost of Labor • Manufacturing overheads OMR 12 per unit OMR 6 per unit. OMR 3 per unit The total fixed expenses estimated at OMR 1800 per month. There are no other expenses. Sales price of dining table OMR 70 per unit ) Find the total costs if they produce 50 dining tables. i) Find the total profit earned by PAN Furniture Company if they produce and sells 50 dining tablesarrow_forward17. A landscape gardener wants to build an 8000-square foot rectangular display garden along the side of a river. The garden will be fenced on three sides. (No fence is necessary along the river). She plans to use ornamental steel fencing at $12 per foot on the side opposite to river and chain-link fencing at $3 per foot on the other two sides. What dimensions for the garden will minimize her costs?arrow_forward
- A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The price the manufacturer can expect to receive for the machines will depend on the number of machines made available. It is estimated that if the manufacturer supplies x machines to the domestic market and y machines to the foreign market, the machines will 5y sell for 1200 - 3x + pesos per unit domestically, and 7 2x 2200 - 2y + pesos per unit abroad. 7 (a) Express the revenues from domestic and foreign markets as functions of x and y. Then show that the total revenue is given by R(x, y) = 1200x + 2200y - 3x² - 2y² + xy. (b) Evaluate R, (100, 400) and interpret this value in the context of the problem. (c) Using Lagrange multipliers to maximize revenue, how many of the 500 machines should be sold domestically, and how many should be sold abroad? What is the maximum revenue?arrow_forwardLeah Peschel is the bottling department manager for a bottling company that produces various soft drinks and juices. The company uses two different machines from different manufacturers to fill the bottles of its popular cola. Leah periodically verifies that the amount of cola in the bottles filled by Machine 1 is the same as the amount in the bottles filled by Machine 2. The manufacturers calibrated the machines at the time of installation and provided that information to the bottling company. Leah knows that the population standard deviation for Machine 1 is 0.021 ounce and the population standard deviation for Machine 2 is 0.019 ounce. Leah randomly selects samples of bottles filled by Machine 1 and Machine 2. The amount of cola in each bottle is recorded for both samples, and the results are shown in the table. Let α=0.05, μ1 be the population mean amount of cola in bottles filled by Machine 1, and μ2 be the population mean amount of cola in bottles filled by Machine 2. The test…arrow_forwardThis is about method of separation variables. Please Answer only 2,3,4 and 5.arrow_forward
- Help me pleasearrow_forwardA student arrive in a photocopy service. There is only one photocopy operator, and the time required for inquiry varies from student to student. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the average service time for this problem?arrow_forwardAtlantic hurricanes form off the western coast of Africa. As warm moist air rises, it begins to rotate around a low- pressure system. This rotation is sustained by warm ocean temperatures and a central low pressure. Once a sustained wind speed of 74 miles per hour is reached, the storm is considered a hurricane. As man-made climate change continues to increase the temperature of the Earth's oceans, it is expected that the strength of hurricanes will Typically, a lower central pressure within a hurricane's eye is associated with a higher wind speed. Here, statistical software (R/RStudio) will be used to explore this relationship by applying linear regression methods. Using a database of landfalling hurricanes in the United States, a linear regression will be used to correlate the central pressure of each hurricane to its maximum sustained wind speed. increase. Regression Plot y=942.196-0.884*x R^2=0.768 ----- ----------- -. •... •. 980 1000 940 960 900 920 Independent Variable (x)…arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell