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Manufacturing Nadir, Inc. produces three models of television sets: deluxe, super-deluxe, and ultra. Each deluxe set requires 2 hours of electronics work, 3 hours of assembly time, and 5 hours of finishing time. Each super-deluxe requires 1, 3, and 2 hours of electronics, assembly, and finishing time, respectively. Each ultra requires 2, 2, and 6 hours of the same work, respectively.
(a) There are 54 hours available for electronics. 72 hours available for assembly, and 148 hours available for finishing per week. How many of each model should be produced each week if all available time is to be used?
(b) Suppose everything is the same as in part (a), but a super-deluxe set requires 1, rather than 2, hours of finishing time. How many solutions are there now?
(c) Suppose everything is the same as in part (b), but the total hours available for finishing changes from 148 hours to 144 hours. Now how many solutions are there?
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Chapter 2 Solutions
Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
- A 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data from this experiment are shown in Table 4. Table 4: Resistivity Experiment for Exercise 5 Run A B с D Resistivity 1 23 2 3 4 5 6 7 8 9 10 11 12 I+I+I+I+Oooo 0 0 ||++TI++o000 33.2 4.6 31.2 9.6 40.6 162.4 39.4 158.6 63.4 62.6 58.7 0 0 60.9 3 (a) Estimate the factor effects. Plot the effect estimates on a normal probability scale. (b) Identify a tentative model for this process. Fit the model and test for curvature. (c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on this plot of model inadequacy? (d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the normality assumption?arrow_forward1. Check to see if the matrix below is (a) symmetric (b) skew-symmetric (c) orthogonal You need to check all three cases. 2. Compute the eigenvalues and verify that they satisfy the required properties for such matrix. (For example, if the matrix is symmetric, then the eigenvalues satisfy certain property. Likewise, if a matrix is skew-symmetric or if it is orthogonal.) 0.28 0.96 -0.96 0.28arrow_forward14. (a) Find all the eigenvalues and their algebraic and geometric multiplicities. (b) Find bases for the corresponding eigenspaces. (c) Is the matrix is diagonalizable? Explain. If it is, then find P and D. 5 2 -9 6arrow_forward
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- The numbers of hours worked on homework (per week) by 400 statistics students are shown below. Cumulative Relative Number of hours Frequency Relative Frequency Frequency 0arrow_forwardA semiconductor manufacturer produces devices used as central processing units in personal computers. The speed of the devices (in megahertz) is important because it determines the price that the manufacturer can charge or the devices. Consider the observations in Sample A were generated from a specific process, whereas the observations in Sample B were generated from a different process. According to the comparative boxplot as follows, which conclusion is INCORRECT? Boxplot of Device Speed in Sample A and B 800 780 Speed of Device (MHz) 760 740 720 700 680 660 640 620 600 Sample A Sample B The median values for both Sample A and Sample B are essentially the same. Sample B contains an outlier. In Sample B, the number of devices with speeds less than 660 MHz is approximately equal to the number of devices with speeds greater than 700 MHz. In Sample A, the number of devices with speeds greater than 680 MHz is approximately 1.5 times the number of devices with speeds less than 680 MHz.arrow_forwardThe histogram below displays the power consumption (in watts) of various industrial machines during a trial period, categorized into power consumption intervals. The rectangle for the interval 1000-1500 watts is missing. What should its height be? (Two decimal places.) Histogram of Power Consumption of Various Machines Relative Frequency 0.30 0.25 0.20 0.25 0.15 0.15 0.15 0.10 0.10 0.10 0.05 0.05 0.00 500 1000 1500 2000 2500 3000 3500 4000 Power Consumption (Watts)arrow_forward5. By referring to the discussion in Sec. 14 related to Fig. 19 there, find a domain in the z plane whose image under the transformation w = z² is the square domain in the w plane bounded by the lines u = 1, u = 2, v = 1, and v = = 2. (See Fig. 2, Appendix 2.)arrow_forwardMORISO Exam 1 MAT180-SP2025 Name: Abigail ofcrivan Each problem is worth 4 points. Partial credit will be assigned where earned. Please make sure to answer all questions completely and thoroughly for full credit. This exam is open notes/book/homework (no internet resources otherwise), but you should still offer clear explanation and/or show work on necessary problems. Students should complete this exam on their own. It is due by Wednesday. February 12th at 11:00am. Students who are absent from class, must scan and email their exams. Late exams are not accepted without prior approval. Students found to be using unapproved resources or working with other people will receive a 0. 1.) Rewrite the following statement in TWO different ways: Every positive real number has a multiplicative inverse (i.e. reciprocal). (Note: Simply changing the term "multiplicative inverse" to "reciprocal" will not count.) 2) Write the negation for each of the following statements. a.) Rory plays basketball and…arrow_forwardWhat are the answers for star powerarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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