Finite Mathematics and Calculus with Applications
1st Edition
ISBN: 9781323188361
Author: Margaret Lial
Publisher: Pearson Education
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Textbook Question
Chapter 4.2, Problem 24E
Set up and solve Exercises 23–29 by the simplex method.
24. Profit The Muro Manufacturing Company makes two kinds of plasma screen television sets. It produces the Flexscan set that sells for $350 profit and the Panoramic I that sells for $500 profit. On the assembly line, the Flexscan requires 5 hours, and the Panoramic I takes 7 hours. The cabinet shop spends 1 hour on the cabinet for the Flexscan and 2 hours on the cabinet for the Panoramic I. Both sets require 4 hours for testing and packing. On a particular production run, the Muro Company has available 3600 work hours on the assembly line, 900 work-hours in the cabinet shop, and 2600 work-hours in the testing and packing department. (See Exercise 10 in Section 3.3.)
- (a) How many sets of each type should it produce to make a maximum profit? What is the maximum profit?
- (b) Find the values of any nonzero slack variables and describe what they tell you about any unused time.
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Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
Chapter 4 Solutions
Finite Mathematics and Calculus with Applications
Ch. 4.1 - Prob. 1YTCh. 4.1 - Prob. 2YTCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - For Exercises 58, (a) determine the number of...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8E
Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Pivot once as indicated in each simplex tableau....Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 31ECh. 4.2 - Use the simplex method to solve the problem in...Ch. 4.2 - Pivot on the 4 in Example 2 and write the...Ch. 4.2 - Prob. 1WECh. 4.2 - Prob. 2WECh. 4.2 - Prob. 3WECh. 4.2 - Prob. 4WECh. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - The simplex algorithm still works if an indicator...Ch. 4.2 - What goes wrong if a quotient other than the...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Profit A manufacturer makes two products, toy...Ch. 4.2 - Profit The Ball Company manufactures three types...Ch. 4.2 - Profit The Golden Hawk Manufacturing Company wants...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 36ECh. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 40ECh. 4.3 - Prob. 1YTCh. 4.3 - Prob. 2YTCh. 4.3 - Prob. 1WECh. 4.3 - Prob. 2WECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Use the simplex method to solve. 10. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 11. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 12....Ch. 4.3 - Prob. 13ECh. 4.3 - Use the simplex method to solve. 14....Ch. 4.3 - Use the simplex method to solve. 15....Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Suppose the coefficient of 3 in the objective...Ch. 4.3 - Business and Economics 19. Production Costs A...Ch. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - In most examples of this section, the original...Ch. 4.3 - Prob. 23ECh. 4.3 - Business and Economics 24. Animal Food An animal...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.4 - Prob. 1YTCh. 4.4 - Finish the missing steps in Example 2 and show the...Ch. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Use the simplex method to solve. 9. Find x1 0 and...Ch. 4.4 - Prob. 10ECh. 4.4 - Use the simplex method to solve. 11. Find x1 0,...Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Solve using artificial variables. 17.Ch. 4.4 - Prob. 18ECh. 4.4 - Solve using artificial variables. 19.Ch. 4.4 - Solve using artificial variables. 20.Ch. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Transportation Change Exercise 23 so that the two...Ch. 4.4 - Transportation The manufacturer of a popular...Ch. 4.4 - Investments Deb Harden has decided to invest a...Ch. 4.4 - Finance A bank has set aside a maximum of 25...Ch. 4.4 - Blending Seed Topgrade Turf lawn seed mixture...Ch. 4.4 - Blending Seed Change Exercise 28 so that the...Ch. 4.4 - Prob. 30ECh. 4.4 - Blending Chemicals Natural Brand plant food is...Ch. 4.4 - Prob. 32ECh. 4.4 - Calorie Expenditure Joe Veteres exercise regimen...Ch. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - For each problem, (a) add slack variables or...Ch. 4 - For each problem, (a) add slack variables or...Ch. 4 - Use the simplex method to solve each maximization...Ch. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Use the simplex method to solve each problem. (You...Ch. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - In solving a linear programming problem, you are...Ch. 4 - In Chapter 2 we wrote a system of linear equations...Ch. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - APPLICATIONS For Exercises 3740, (a) select...Ch. 4 - Solve Exercise 37. Business and Economics 37....Ch. 4 - Solve Exercise 38. Business and Economics 38....Ch. 4 - Solve Exercise 39. 39. Profit The Aged Wood Winery...Ch. 4 - Solve Exercise 40. 40. Production Costs Cauchy...Ch. 4 - Canning Cauchy Canners produces canned corn,...Ch. 4 - Food Cost A store sells two brands of snacks. A...Ch. 4 - Calorie Expenditure Gingers exercise regimen...
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