Finite Mathematics and Calculus with Applications (10th Edition)
10th Edition
ISBN: 9780321979407
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Textbook Question
Chapter 4.2, Problem 35E
Set up and solve Exercises 35–40 by the simplex method.
Life Sciences
35. Calorie Expenditure Lauren Simko, a fitness trainer, has an exercise regimen that includes running, biking, and walking. She has no more than 15 hours per week to devote to exercise, including at most 3 hours running. She wants to walk at least twice as many hours as she bikes. According to a website, a 130-pound person like Lauren will burn on average 531 calories per hour running, 472 calories per hour biking, and 354 calories per hour walking. How many hours per week should Lauren spend on each exercise to maximize the number of calories she burns? What is the maximum number of calories she will burn? (Hint: Write the constraint involving walking and biking in the form ≤ 0.) Source: NutriStrategy.com.
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Part 1
At the grocery store, 70% of the different types of juice come in a bottle holding at least 400 milliliters (mL) and 40% of the different types of juice come
in a low-sugar version. Only 25% of the juice varieties are in bottles holding at least 400 mL and have a low-sugar version. What percentage of the
different types of juice come in a bottle holding at least 400 mL or are low-sugar? Explain your reasoning.
Part 2
Complete the table showing the number of cans and bottles of low-sugar and regular juice in one of the shelves at a grocery store. You may not use zero
in any of the empty spaces.
Juice/Sugar
400ml
ТОTAL
low-sugar available
80
no low-sugar available
ТОTAL
60
140
Part 3:
Use the table to find the probabilities for a juice chosen from the shelf at random.
A. P(less than 400ml)
B. P(no low-sugar available)
C. P(no low-sugar available or less than 400ml)
D. P(no low-sugar available and less than 400ml)
After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two-week period, on average.
As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?
Part 1
At the grocery store, 70% of the different types of juice come in a bottle holding at least 400 milliliters (mL) and 40% of the different types of juice come
in a low-sugar version. Only 25% of the juice varieties are in bottles holding at least 400 mL and have a low-sugar version. What percentage of the
different types of juice come in a bottle holding at least 400 ml or are low-sugar? Explain your reasoning.
Chapter 4 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
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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