College Algebra: Graphs and Models (6th Edition)
6th Edition
ISBN: 9780134179032
Author: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Publisher: PEARSON
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Question
Chapter 6, Problem 28RE
To determine
The amount of each food required in order to provide the desired nutritional values.
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A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 80 hrs of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.
Chapter 6 Solutions
College Algebra: Graphs and Models (6th Edition)
Ch. 6.1 - In Exercises 16, match the system of equations...Ch. 6.1 - In Exercises 16, match the system of equations...Ch. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Solve graphically. x y = 6, y = 2xCh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Solve using the elimination method. Also determine...Ch. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Solve using the elimination method. Also determine...Ch. 6.1 - Solve using the elimination method. Also determine...Ch. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Determine whether the statement is true or false....Ch. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Concert Ticket Prices. One evening 1500 concert...Ch. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Nutrition. A one-cup serving of spaghetti with...Ch. 6.1 - Prob. 64ECh. 6.1 - Prob. 65ECh. 6.1 - Prob. 66ECh. 6.1 - Prob. 67ECh. 6.1 - Motion. Aarons boat travels 45 mi downstream in 3...Ch. 6.1 - Prob. 69ECh. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.1 - Prob. 73ECh. 6.1 - Prob. 74ECh. 6.1 - Prob. 75ECh. 6.1 - Prob. 76ECh. 6.1 - Prob. 77ECh. 6.1 - Prob. 78ECh. 6.1 - Prob. 79ECh. 6.1 - Prob. 80ECh. 6.1 - Prob. 81ECh. 6.1 - Prob. 82ECh. 6.1 - Prob. 83ECh. 6.1 - Prob. 84ECh. 6.1 - Prob. 85ECh. 6.1 - Antifreeze Mixtures. An automobile radiator...Ch. 6.1 - Prob. 87ECh. 6.1 - Prob. 88ECh. 6.1 - Prob. 89ECh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Prob. 9ECh. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Prob. 12ECh. 6.2 - Solve the system of equations. 2x+z=1,3y2z=6,x2y=9Ch. 6.2 - Prob. 14ECh. 6.2 - Solve the system of equations....Ch. 6.2 - Solve the system of equations....Ch. 6.2 - Paralympic Medals. At the 2014 Paralympic Games in...Ch. 6.2 - Restaurant Meals. The total number of...Ch. 6.2 - Top Corn Producers. The top three corn producers...Ch. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Jolts of Caffeine. One 8-oz serving each of brewed...Ch. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Gasoline Prices. The following table lists the...Ch. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - In each of Exercises 3946, fill in the blank with...Ch. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - In each of Exercises 3946, fill in the blank with...Ch. 6.2 - In each of Exercises 3946, fill in the blank with...Ch. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Transcontinental Railroad. Use the following facts...Ch. 6.2 - Prob. 49ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.3 - Determine the order of the matrix. [163205]Ch. 6.3 - Prob. 2ECh. 6.3 - Determine the order of the matrix. [2 4 0 9]Ch. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 24ECh. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 26ECh. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 40ECh. 6.3 - Use Gaussian elimination or GaussJordan...Ch. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Prob. 45ECh. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - In Exercises 53 and 54, three solutions of the...Ch. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - Prob. 62ECh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - For Exercises 520, let...Ch. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - For Exercises 520, let...Ch. 6.4 - For Exercises 520, let...Ch. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Produce. The produce manager at Stans Market...Ch. 6.4 - Prob. 30ECh. 6.4 - Nutrition. A 3-oz serving of roasted, skinless...Ch. 6.4 - Prob. 32ECh. 6.4 - Food Service Management. The food service manager...Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Prob. 36ECh. 6.5 - Prob. 37ECh. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Prob. 50ECh. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.6 - Prob. 1ECh. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Prob. 4ECh. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Prob. 12ECh. 6.6 - Use the following matrix for Exercises 917:...Ch. 6.6 - Prob. 14ECh. 6.6 - Use the following matrix for Exercises 917:...Ch. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.6 - Prob. 29ECh. 6.6 - Prob. 30ECh. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - Prob. 35ECh. 6.6 - Prob. 36ECh. 6.6 - Prob. 37ECh. 6.6 - Prob. 38ECh. 6.6 - Prob. 39ECh. 6.6 - Prob. 40ECh. 6.6 - Prob. 41ECh. 6.6 - Prob. 42ECh. 6.6 - Prob. 43ECh. 6.6 - Solve using Cramers rule. 3x+5y=2,2x3z=7,4y+2z=1Ch. 6.6 - Prob. 45ECh. 6.6 - Prob. 46ECh. 6.6 - Prob. 47ECh. 6.6 - Prob. 48ECh. 6.6 - Prob. 49ECh. 6.6 - Prob. 50ECh. 6.6 - Prob. 51ECh. 6.6 - Prob. 52ECh. 6.6 - Prob. 53ECh. 6.6 - Prob. 54ECh. 6.6 - Prob. 55ECh. 6.6 - Prob. 56ECh. 6.6 - Prob. 57ECh. 6.6 - Prob. 58ECh. 6.6 - Prob. 59ECh. 6.6 - Prob. 60ECh. 6.7 - Prob. 1ECh. 6.7 - Prob. 2ECh. 6.7 - Prob. 3ECh. 6.7 - Prob. 4ECh. 6.7 - Prob. 5ECh. 6.7 - Prob. 6ECh. 6.7 - Prob. 7ECh. 6.7 - Prob. 8ECh. 6.7 - Prob. 9ECh. 6.7 - Prob. 10ECh. 6.7 - Prob. 11ECh. 6.7 - Prob. 12ECh. 6.7 - Prob. 13ECh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - Prob. 17ECh. 6.7 - Prob. 18ECh. 6.7 - Prob. 19ECh. 6.7 - Prob. 20ECh. 6.7 - Prob. 21ECh. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Prob. 24ECh. 6.7 - Prob. 25ECh. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Prob. 28ECh. 6.7 - Prob. 29ECh. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Prob. 32ECh. 6.7 - Prob. 33ECh. 6.7 - Prob. 34ECh. 6.7 - Prob. 35ECh. 6.7 - Prob. 36ECh. 6.7 - Prob. 37ECh. 6.7 - Prob. 38ECh. 6.7 - Prob. 39ECh. 6.7 - Prob. 40ECh. 6.7 - Prob. 41ECh. 6.7 - Prob. 42ECh. 6.7 - Prob. 43ECh. 6.7 - Prob. 44ECh. 6.7 - Prob. 45ECh. 6.7 - Prob. 46ECh. 6.7 - Prob. 47ECh. 6.7 - Prob. 48ECh. 6.7 - Prob. 49ECh. 6.7 - Prob. 50ECh. 6.7 - Prob. 51ECh. 6.7 - Prob. 52ECh. 6.7 - Prob. 53ECh. 6.7 - Prob. 54ECh. 6.7 - Prob. 55ECh. 6.7 - Graph the system of inequalities. Then find the...Ch. 6.7 - Graph the system of inequalities. Then find the...Ch. 6.7 - Prob. 58ECh. 6.7 - Prob. 59ECh. 6.7 - Graph the system of inequalities. Then find the...Ch. 6.7 - Find the maximum value and the minimum value of...Ch. 6.7 - Find the maximum value and the minimum value of...Ch. 6.7 - Prob. 63ECh. 6.7 - Prob. 64ECh. 6.7 - Prob. 65ECh. 6.7 - Maximizing Income. Golden Harvest Foods makes...Ch. 6.7 - Prob. 67ECh. 6.7 - Prob. 68ECh. 6.7 - Prob. 69ECh. 6.7 - Prob. 70ECh. 6.7 - Prob. 71ECh. 6.7 - Prob. 72ECh. 6.7 - Minimizing Transportation Cost. An airline with...Ch. 6.7 - Minimizing Transportation Cost. Suppose that in...Ch. 6.7 - Maximizing Profit. It takes Fena Tailoring 3 hr of...Ch. 6.7 - Maximizing Profit. Cambridge Metal Works...Ch. 6.7 - Minimizing Nutrition Cost. Suppose that it takes...Ch. 6.7 - Prob. 78ECh. 6.7 - Prob. 79ECh. 6.7 - Prob. 80ECh. 6.7 - Prob. 81ECh. 6.7 - Prob. 82ECh. 6.7 - Prob. 83ECh. 6.7 - Prob. 84ECh. 6.7 - Prob. 85ECh. 6.7 - Graph the system of inequalities. y x + 1, y x2Ch. 6.7 - Prob. 87ECh. 6.7 - Prob. 88ECh. 6.7 - Prob. 89ECh. 6.7 - Prob. 90ECh. 6.7 - Prob. 91ECh. 6.8 - Prob. 1ECh. 6.8 - Prob. 2ECh. 6.8 - Prob. 3ECh. 6.8 - Prob. 4ECh. 6.8 - Prob. 5ECh. 6.8 - Prob. 6ECh. 6.8 - Prob. 7ECh. 6.8 - Prob. 8ECh. 6.8 - Prob. 9ECh. 6.8 - Prob. 10ECh. 6.8 - Prob. 11ECh. 6.8 - Prob. 12ECh. 6.8 - Prob. 13ECh. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 16ECh. 6.8 - Prob. 17ECh. 6.8 - Prob. 18ECh. 6.8 - Prob. 19ECh. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 21ECh. 6.8 - Prob. 22ECh. 6.8 - Prob. 23ECh. 6.8 - Prob. 24ECh. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 26ECh. 6.8 - Prob. 27ECh. 6.8 - Prob. 28ECh. 6.8 - Prob. 29ECh. 6.8 - Prob. 30ECh. 6.8 - Prob. 31ECh. 6.8 - Prob. 32ECh. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6 - Determine whether the statement is true or false....Ch. 6 - Prob. 2MCCh. 6 - Prob. 3MCCh. 6 - Prob. 4MCCh. 6 - Prob. 5MCCh. 6 - Prob. 6MCCh. 6 - Prob. 7MCCh. 6 - Prob. 8MCCh. 6 - Prob. 9MCCh. 6 - Prob. 10MCCh. 6 - Prob. 11MCCh. 6 - Prob. 12MCCh. 6 - Prob. 13MCCh. 6 - Prob. 14MCCh. 6 - Prob. 15MCCh. 6 - Prob. 16MCCh. 6 - Prob. 17MCCh. 6 - Prob. 18MCCh. 6 - Prob. 19MCCh. 6 - Prob. 20MCCh. 6 - Prob. 21MCCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Solve the system of equations using Gaussian...Ch. 6 - Prob. 25RECh. 6 - Coins. The value of 75 coins, consisting of only...Ch. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Maximizing a Test Score. Jackson is taking a test...Ch. 6 - Decompose into partial fractions. 5(x+2)2(x+1)Ch. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Prob. 6TCh. 6 - Prob. 7TCh. 6 - Prob. 8TCh. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 11TCh. 6 - Prob. 12TCh. 6 - Prob. 13TCh. 6 - Prob. 14TCh. 6 - Prob. 15TCh. 6 - Prob. 16TCh. 6 - Prob. 17TCh. 6 - Prob. 18TCh. 6 - Prob. 19TCh. 6 - Prob. 20TCh. 6 - Prob. 21TCh. 6 - Prob. 22TCh. 6 - Prob. 23TCh. 6 - Prob. 24TCh. 6 - Prob. 25T
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardIf a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?arrow_forwardA Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 4800 minutes of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.arrow_forward
- Ace Trucking Company has an order for delivery of three products, A, B, and C. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the carrier can carry 11,800 cubic feet and 14,900 pounds and is insured for $61 comma 800, how many units of each product can be carried? Product A Product B Product C Volume (cu ft) 24 20 80 Weight (lb) 40 30 60 Value ($) 150 180 200arrow_forwardA food factory makes three types of cereals, A, B and C, from a mix of several ingredients: Oates, Apricots, Coconuts and Hazelnuts. The cereals are packaged in 2kg boxes. The following table provides details of the sales price per box of cereals and the production cost per ton (1000 kg) of cereals respectively. Sales price per box($) | Production cost per ton Cereal A 2.50 4.00 Cereal B Cereal C 2.00 2.80 3.50 3.00. The following table provides the purchase price per ton of ingredients and the maximum availability of the ingredients in tons respectively. |Ingredients Purchase price ($) per ton Maximum availability in tons Oates 100 10 Apricots Coconuts 120 80 Hazelnuts 200 2 The minimum daily demand (in boxes) for each cereal and the proportion of the Oates, Apricots, Coconut and Hazelnuts in each cereal is detailed in the following table, Proportion of Minimum demand (boxes) Oates | Apricots | Coconuts | Hazelnuts 0.05 Cereal A 1000 0.8 0.1 0.05 Cereal B Cereal C 700 0.65 0.2 0.05…arrow_forwardA campus student group is raising funds for charity by selling cups of boba tea. The expenses incurred by this student group are the cost of materials, estimated at $2 per cup (tea, boba, milk, sugar, cups, the big honking straws, napkins, etc.) and the $150 cost of renting the brewing and cooking space. The group will charge students $4 for each cup.a. Write down the associated cost, revenue, and profit functions. b. How many cups of boba must they sell to break even?c. What profit (or loss) results from the sale of 50 cups?arrow_forward
- After taking a nutrition class, a big macaroni and cheese fan decides to improve the levels of protein and fiber in her favorite lunch by adding broccoli and canned chicken. The nutritional information for the foods referred to in this exercise is given in the table below. Complete parts (a) and (b) below. Nutrition Information per Serving Nutrient Calories Protein (g) Fiber (g) Mac and Cheese 268 11 2 Broccoli 50 5.3 5.1 Chicken 70 15 0 Shells 258 10 5 a. If she wants to limit her lunch to 400 calories but get 25 grams of protein and 10 grams of fiber, what proportions of servings of macaroni and cheese, broccoli, and chicken should she use? She should use servings of macaroni and cheese, servings of broccoli, and desired nutritional content. (Type an integer or decimal rounded to the nearest hundredth as needed.) servings of chicken to get herarrow_forwardIf a person eats 3 kg of beef per week, how many kg of grain (feed) would be required to produce that amount of beef, according to this diagram? Feed input 20.0 kg 7.3 kg 4.5 kg 2.8 kg 1.1 kg 60 kg 20 kg 12 kg 2.8 kg 1 kg 1 kg 1 kg Produce output (edible weight) 1 kg 1 kg 1 kg Beef Pork Eggs Chicken Milkarrow_forwardA high school dietician is planning menus for the upcoming month. Anew item will be spaghetti with sauce. The dietician wants each serving tocontain at least 10 grams of protein and at least 40 grams of carbohydrates.Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup,and the sauce contains 4 grams of protein and 5 grams of carbohydrates percup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be4:1.Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cupto buy and prepare. The dietician wants to minimize the cost per serving andkeep the calories per serving 330 or less. The sauce contains 100 calories percup, and spaghetti contains 160 calories per cup.Formulate a linear programming model for this problem.arrow_forward
- You are in charge of drinks for a community barbecue. You need to supply at least 120 cups of beverage to provide enough for the projected number of people that will attend. So far, you have received the following donations: o Enough mix to make 3 gallons of lemonade o 6 bottles of fruit juice that each contain 64 fl. oz. How many cups of beverage do you have? Will you have enough for the barbecue? O yes Onoarrow_forwardYou would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 30 g of carbohydrates, at least 20 g of protein, and no more than 60 g of fat. An egg contains 2 g of carbohydrates, 17 g of protein, and 14 g of f A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat. An egg costs $2, a serving of edamame costs $5, and a serving of elbow macaroni costs $3. Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at the minimal cost. a) Define the decision variables. b) Write down the objective function. c) Write down the constraints.type solution plsarrow_forwardAn online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows: Container A B C Cost ($ each) 4 6 7 Capacity (cu in) 200 400 600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?arrow_forward
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