College Algebra
College Algebra
10th Edition
ISBN: 9781337282291
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 6.6, Problem 38E

Optimal Profit A manufacturer produces two models of elliptical cross-training exercise machines. The times for assembling, finishing, and packaging model X are 3 hours, 3 hours, and 0.8   hour, respectively. The times for model Y are 4 hours, 2.5   hours, and 0.4   hour. The total times available for assembling, finishing, and packaging are 6000 hours, 4200 hours, and 950 hours, respectively. The profits per unit are $300 for model X and $375 for model Y. What is the optimal production level for each model? What is the optimal profit?

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Chapter 6 Solutions

College Algebra

Ch. 6.1 - Solve the system of equations. xy=05x3y=6Ch. 6.1 - A total of $25,000 is invested in two funds paying...Ch. 6.1 - Solve the system of equations. 2x+y=5x2y+3x=1Ch. 6.1 - Solve the system of equations. 2x+y=32x2+4xy2=0Ch. 6.1 - Prob. 5ECPCh. 6.1 - Prob. 6ECPCh. 6.1 - Prob. 7ECPCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Fill in the blanks. Graphically, solutions of a...
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Two systems of equations that...Ch. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Prob. 8ECh. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Prob. 18ECh. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Matching a System with Its Graph In Exercises...Ch. 6.2 - Prob. 32ECh. 6.2 - Matching a System with Its Graph In Exercises...Ch. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Choosing a Solution Method In Exercises 35-40, use...Ch. 6.2 - Choosing a Solution Method In Exercises 35-40, use...Ch. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Airplane Speed An airplane flying into a headwind...Ch. 6.2 - Airplane Speed Two planes start from Los Angeles...Ch. 6.2 - Nutrition Two cheeseburgers and one small order of...Ch. 6.2 - Nutrition One eight-ounce glass of apple juice and...Ch. 6.2 - Prob. 45ECh. 6.2 - Finding the Equilibrium Point In Exercises 45-48,...Ch. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - Chemistry Thirty liters of a 40% acid solution is...Ch. 6.2 - Fuel Mixture Five hundred gallons of 89-octane...Ch. 6.2 - Investment Portfolio A total of $24,000 is...Ch. 6.2 - Investment Portfolio A total of $32,000 is...Ch. 6.2 - Pharmacology The numbers of prescriptions P (in...Ch. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Prob. 59ECh. 6.2 - Prob. 60ECh. 6.2 - Prob. 61ECh. 6.2 - Finding the Value of a Constant In Exercises 61...Ch. 6.2 - Prob. 63ECh. 6.2 - Prob. 64ECh. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.2 - Prob. 67ECh. 6.2 - Prob. 68ECh. 6.3 - Solve the system of linear equations....Ch. 6.3 - Prob. 2ECPCh. 6.3 - Prob. 3ECPCh. 6.3 - Prob. 4ECPCh. 6.3 - Prob. 5ECPCh. 6.3 - Solve the system of linear equations. xy+4z=34xz=0Ch. 6.3 - Prob. 7ECPCh. 6.3 - Prob. 8ECPCh. 6.3 - Prob. 1ECh. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Checking Solutions in Exercises 7-10, determine...Ch. 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 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 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 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 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 - Prob. 53ECh. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Agriculture A mixture of 5 pounds of fertilizer A,...Ch. 6.3 - Finance To expand its clothing line, a small...Ch. 6.3 - Advertising A health insurance company advertises...Ch. 6.3 - Geometry In Exercises 61 and 62, find the values...Ch. 6.3 - Prob. 62ECh. 6.3 - Geometry The perimeter of a triangle is 180 feet....Ch. 6.3 - Chemistry A chemist needs 10 liters of a 25 acid...Ch. 6.3 - Electrical Network Applying Kirchhoff’s Laws to...Ch. 6.3 - Pulley System A system of pulleys is loaded with...Ch. 6.3 - Prob. 67ECh. 6.3 - Prob. 68ECh. 6.3 - Prob. 69ECh. 6.3 - Prob. 70ECh. 6.3 - Prob. 71ECh. 6.3 - Prob. 72ECh. 6.3 - Prob. 73ECh. 6.3 - Prob. 74ECh. 6.3 - Prob. 75ECh. 6.3 - The number of sides x and the combined number of...Ch. 6.3 - Prob. 77ECh. 6.3 - Prob. 78ECh. 6.3 - Prob. 79ECh. 6.3 - Prob. 80ECh. 6.4 - Write the partial fraction decomposition of...Ch. 6.4 - Prob. 2ECPCh. 6.4 - Prob. 3ECPCh. 6.4 - Write the partial fraction decomposition of...Ch. 6.4 - Prob. 5ECPCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Matching In Exercises 5-8, match the rational...Ch. 6.4 - Prob. 8ECh. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Prob. 10ECh. 6.4 - 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Identify the graph of the...Ch. 6.4 - Error Analysis Describe the error in writing the...Ch. 6.4 - Prob. 66ECh. 6.5 - Sketch the graph of x+22+y2216.Ch. 6.5 - Sketch the graph of x3.Ch. 6.5 - Prob. 3ECPCh. 6.5 - Sketch the graph of the solution set of the system...Ch. 6.5 - Prob. 5ECPCh. 6.5 - Sketch the solution set of the system of...Ch. 6.5 - Sketch the solution set of the system of...Ch. 6.5 - The demand and supply equations for a flat-screen...Ch. 6.5 - Prob. 9ECPCh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Graphing an Inequality In Exercises 5-18, sketch...Ch. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Graphing an Inequality In Exercises 5-18, sketch...Ch. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Graphing an Inequality In Exercises 5-18, sketch...Ch. 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 - Graphing an Inequality In Exercises 19-26, use a...Ch. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Writing an Inequality In Exercises 27-30, write an...Ch. 6.5 - Writing an Inequality In Exercises 27-30, write an...Ch. 6.5 - Writing an Inequality In Exercises 27-30, write an...Ch. 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 - Writing a System of Inequalities In Exercises...Ch. 6.5 - Writing a System of Inequalities In Exercises...Ch. 6.5 - Prob. 55ECh. 6.5 - Writing a System of Inequalities In Exercises...Ch. 6.5 - Prob. 57ECh. 6.5 - Prob. 58ECh. 6.5 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6.5 - Prob. 60ECh. 6.5 - Prob. 61ECh. 6.5 - Prob. 62ECh. 6.5 - Prob. 63ECh. 6.5 - Ticket Sales For a concert event, there are $30...Ch. 6.5 - Production A furniture company produces tables and...Ch. 6.5 - Prob. 66ECh. 6.5 - Nutrition A dietician prescribes a special dietary...Ch. 6.5 - Prob. 68ECh. 6.5 - Shipping A warehouse supervisor has instructions...Ch. 6.5 - Physical Fitness Facility A physical fitness...Ch. 6.5 - Prob. 71ECh. 6.5 - Prob. 72ECh. 6.5 - Prob. 73ECh. 6.5 - Prob. 74ECh. 6.5 - Matching Match the system of inequalities with the...Ch. 6.5 - Prob. 76ECh. 6.6 - Find the maximum value of z=4x+5y subject to the...Ch. 6.6 - Find the minimum value of z=12x+8y Where x0 and...Ch. 6.6 - Find the maximum value of z=12x+8y Where x0 and...Ch. 6.6 - Find the minimum value of z=3x+7y Where x0 and y0,...Ch. 6.6 - In Example 5, the candy manufacturer improves the...Ch. 6.6 - Prob. 6ECPCh. 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 - Prob. 13ECh. 6.6 - Solving a Linear Programming Problem In Exercises...Ch. 6.6 - Prob. 15ECh. 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 - Optimal Profit A merchant plans to sell two models...Ch. 6.6 - Optimal Profit A manufacturer produces two models...Ch. 6.6 - Optimal Cost A public aquarium is adding coral...Ch. 6.6 - Optimal Labor A manufacturer has two different...Ch. 6.6 - Optimal Revenue An accounting firm has 780 hours...Ch. 6.6 - Prob. 42ECh. 6.6 - Agriculture A fruit grower raises crops A and B....Ch. 6.6 - Prob. 44ECh. 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 - Solving a System by Substitution In Exercises...Ch. 6 - Solving a System by Substitution In Exercises...Ch. 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 - Solving a System of Equations Graphically In...Ch. 6 - Solving a System of Equations Graphically In...Ch. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Geometry The perimeter of a rectangle is 68 feet...Ch. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Solving a System by Elimination In Exercises...Ch. 6 - Solving a System by Elimination In Exercises...Ch. 6 - Matching a System with Its Graph In Exercises...Ch. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Matching a System with Its Graph In Exercises...Ch. 6 - Finding the Equilibrium Point In Exercises 33 and...Ch. 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 - Agriculture A mixture of 6 gallons of chemical A,...Ch. 6 - Sports The Old Course at St Andrews Links in St...Ch. 6 - Investment An inheritance of $40,000 is divided...Ch. 6 - Investment An amount of $46,000 is divided among...Ch. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 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. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Geometry Write a system of inequalities to...Ch. 6 - Prob. 82RECh. 6 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6 - Inventory Costs A warehouse operator has 24,000...Ch. 6 - Prob. 86RECh. 6 - Prob. 87RECh. 6 - Prob. 88RECh. 6 - Prob. 89RECh. 6 - Prob. 90RECh. 6 - Prob. 91RECh. 6 - Optimal Profit A manufacturer produces two models...Ch. 6 - Prob. 93RECh. 6 - Prob. 94RECh. 6 - Prob. 95RECh. 6 - Prob. 96RECh. 6 - Prob. 97RECh. 6 - Prob. 98RECh. 6 - Prob. 99RECh. 6 - Prob. 100RECh. 6 - Prob. 101RECh. 6 - Prob. 102RECh. 6 - Prob. 103RECh. 6 - Prob. 104RECh. 6 - In Exercises 1-3, solve the system of equations by...Ch. 6 - In Exercises 1-3, solve the system of equations by...Ch. 6 - Prob. 4TCh. 6 - In Exercises 4-6, solve the system of equations...Ch. 6 - Prob. 6TCh. 6 - In Exercises 7 and 8, solve the system of...Ch. 6 - Prob. 8TCh. 6 - In Exercises 9 and 10, solve the system of linear...Ch. 6 - Prob. 10TCh. 6 - In Exercises 11-14, write the partial fraction...Ch. 6 - Prob. 12TCh. 6 - In Exercises 11-14, write the partial fraction...Ch. 6 - Prob. 14TCh. 6 - In Exercises 15-17, sketch the graph of the...Ch. 6 - Prob. 16TCh. 6 - In Exercises 15-17, sketch the graph of the...Ch. 6 - Prob. 18TCh. 6 - A total of $50,000 is invested in two funds that...Ch. 6 - Prob. 20TCh. 6 - A manufacturer produces two models of television...Ch. 6 - Prob. 1PSCh. 6 - Prob. 2PSCh. 6 - Prob. 3PSCh. 6 - Prob. 4PSCh. 6 - Prob. 5PSCh. 6 - Prob. 6PSCh. 6 - Prob. 7PSCh. 6 - Prob. 8PSCh. 6 - Prob. 9PSCh. 6 - Prob. 10PSCh. 6 - Prob. 11PSCh. 6 - Prob. 12PSCh. 6 - Prob. 13PSCh. 6 - Prob. 14PSCh. 6 - Biology Each day, an average adult moose can...Ch. 6 - Height and Weight For a healthy person who is 4...Ch. 6 - Cholesterol Cholesterol in human blood is...
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Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY