Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 5.2, Problem 26E
Resource Allocation Podunk Institute of Technology’s Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 60 students, and each section of Applied Calculus has 50. The department is allowed to offer a total of up to 110 sections. Furthermore, no more than 6,000 students want to take a math course. (No student will take more than one math course.) Suppose the university makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. (The profit is the difference between what the students are charged and what the professors are paid.) How many sections of each course should the department offer to make the largest profit? [HINT: See Example 2.]
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Chapter 5 Solutions
Finite Mathematics
Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 6ECh. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 9ECh. 5.1 - In Exercises 1-26, sketch the region that...
Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 14ECh. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 27ECh. 5.1 - In Exercises 27-32, we suggest that you use...Ch. 5.1 - Prob. 29ECh. 5.1 - In Exercises 27-32, we suggest that you use...Ch. 5.1 - Prob. 31ECh. 5.1 - In Exercises 27-32, we suggest that you use...Ch. 5.1 - Resource Allocation You manage an ice cream...Ch. 5.1 - Resource Allocation Podunk Institute of Technologs...Ch. 5.1 - Nutrition, Ruff, Inc. makes dog food out of...Ch. 5.1 - Purchasing Enormous State Universitys Business...Ch. 5.1 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 5.1 - Prob. 38ECh. 5.1 - Municipal Bond Funds The Pioneer Investment...Ch. 5.1 - Mutual Funds In 2015, the Phoenix/Zweig Advisors...Ch. 5.1 - Investments: Financial Stocks (Compare Exercise 51...Ch. 5.1 - Revenue The following spreadsheet gives annual...Ch. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - In Exercises 51-54, you are mixing x grams of...Ch. 5.1 - In Exercises 51-54, you are mixing x grams of...Ch. 5.1 - In Exercises 51-54, you are mixing x grams of...Ch. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Prob. 17ECh. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Resource Allocation You manage an ice cream...Ch. 5.2 - Resource Allocation Podunk Institute of...Ch. 5.2 - Nutrition Ruff, Inc. makes dog food out of chicken...Ch. 5.2 - Purchasing Enormous State Universitys Business...Ch. 5.2 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 5.2 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 5.2 - Energy Efficiency You are thinking of making your...Ch. 5.2 - Energy Efficiency (Compare with Exercise 31). You...Ch. 5.2 - Prob. 33ECh. 5.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 5.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 5.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 5.2 - Resource Allocation Your salami manufacturing...Ch. 5.2 - Project Design The Megabuck Hospital Corporation...Ch. 5.2 - Prob. 39ECh. 5.2 - Television Advertising On Monday evenings in April...Ch. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Investments: Financial Stocks (Compare Exercise 41...Ch. 5.2 - Investments: High-Dividend Stocks (Compare...Ch. 5.2 - Planning My friends: I, the mighty Brutus, have...Ch. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - Management21 You are the service manager for a...Ch. 5.2 - If a linear programming problem has a bounded,...Ch. 5.2 - If a linear programming problem has an unbounded,...Ch. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - You are setting up an LP problem for Fly-by-Night...Ch. 5.2 - Prob. 64ECh. 5.2 - Prob. 65ECh. 5.2 - Prob. 66ECh. 5.3 - Maximize p=2x+y Subject to x+2y6 x+y4 x+y4 x0,y0....Ch. 5.3 - Maximize p=x Subject to xy4 x+3y4 x0,y0. [HINT:...Ch. 5.3 - Maximize p=xy Subject to 5x5y20 2x10y40 x0,y0.Ch. 5.3 - Maximize p=2x+3y Subject to 3x+8y24 6x+4y30 x0,y0.Ch. 5.3 - Maximize p=5x4y+3z Subject to 5x+5z100 5y5z50...Ch. 5.3 - Maximize p=6x+y+3z Subject to 3x+y15 2x+2y+2z20...Ch. 5.3 - Prob. 7ECh. 5.3 - Maximize p=3x+4y+2z Subject to 3x+y+z5 x+2y+z5...Ch. 5.3 - Prob. 9ECh. 5.3 - Maximize z=3x1+4x2+6x3 Subject to 5x1x2+x31,500...Ch. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Maximize p=x+2y+z+2w+v Subject to x+y1 y+z2 z+w3...Ch. 5.3 - In Exercises 15-20 we suggest the use of...Ch. 5.3 - In Exercises 15-20 we suggest the use of...Ch. 5.3 - Prob. 17ECh. 5.3 - In Exercises 15-20 we suggest the use of...Ch. 5.3 - Prob. 19ECh. 5.3 - In Exercises 15-20 we suggest the use of...Ch. 5.3 - Purchasing You are in charge of purchases at the...Ch. 5.3 - Prob. 22ECh. 5.3 - Resource Allocation Arctic Juice Company makes...Ch. 5.3 - Purchasing Trans Global Tractor Trailers has...Ch. 5.3 - Resource Allocation The Enormous State University...Ch. 5.3 - Prob. 26ECh. 5.3 - Agriculture Your small farm encompasses 100 acres,...Ch. 5.3 - Agriculture Your farm encompasses 500 acre, and...Ch. 5.3 - Prob. 29ECh. 5.3 - Resource Allocation Repeat Exercise 29, but this...Ch. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Recycling Safety-Kleen operates the worlds largest...Ch. 5.3 - Recycling Repeat Exercise 33, but this time assume...Ch. 5.3 - Bodybuilding Supplements Exercises 35 and 36 are...Ch. 5.3 - Prob. 36ECh. 5.3 - Investing Exercises 37 and 38 are based on the...Ch. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Investments You have $100,000 that you are...Ch. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Transportation Scheduling Your publishing company...Ch. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.3 - Prob. 49ECh. 5.3 - Are there any types of linear programming problems...Ch. 5.3 - Prob. 51ECh. 5.3 - Prob. 52ECh. 5.3 - What is a basic solution? How might one find a...Ch. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.4 - Maximize p=x+y subject to x+2y6 x+y4 2x+y8 x0,y0...Ch. 5.4 - Maximize p=3x+2y subject to x+3y6 x+y4 2x+y8 x0,y0...Ch. 5.4 - Prob. 3ECh. 5.4 - Maximize p=x+2y subject to x+y25 y10 2xy0 x0,y0.Ch. 5.4 - Maximize p=2x+5y+3z subject to x+y+z150 x+y+z100...Ch. 5.4 - Maximize p=3x+2y+2z subject to x+y+2z38 2x+y+z24...Ch. 5.4 - Maximize p=10x+20y+15z subject to x+2y+z40 2yz10...Ch. 5.4 - Maximize p=10x+10y+15z subject to xy+z12 2x2y+z15...Ch. 5.4 - Prob. 9ECh. 5.4 - Maximize p=x+y+4z+2w subject to x+y+z+w50 2x+yzw10...Ch. 5.4 - Minimize c=6x+6y subject to x+2y20 2x+y20 x0,y0.Ch. 5.4 - Minimize c=3x+2y subject to x+2y20 2x+y10 x0,y0Ch. 5.4 - Prob. 13ECh. 5.4 - Minimize c=2x+2y+3z subject to x+z100 2x+y50 y+z50...Ch. 5.4 - Minimize c=50x+50y+11z subject to 2x+z3 2x+yz2...Ch. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - In Exercises 19-24, we suggest the use of...Ch. 5.4 - Prob. 21ECh. 5.4 - In Exercises 19-24, we suggest the use of...Ch. 5.4 - In Exercises 19-24, we suggest the use of...Ch. 5.4 - Prob. 24ECh. 5.4 - Agriculture (Compare Exercise 27 in Section 6.3.)...Ch. 5.4 - Agriculture (Compare Exercise 28 in Section 6.3.)...Ch. 5.4 - Politics The political pollster Canter preparing...Ch. 5.4 - Prob. 28ECh. 5.4 - Resource Allocation Succulent Citrus produce...Ch. 5.4 - Resource Allocation Fancy Pineapple produces...Ch. 5.4 - Latin Music Sales (Digital) You are about to go...Ch. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Gaming Exercises 33-36 are based on the following...Ch. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Purchasing Federal Rent-a-Car is pulling together...Ch. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Transportation Scheduling We return 10 your...Ch. 5.4 - Prob. 46ECh. 5.4 - Finance Senator Porkbarrel habitually overdraws...Ch. 5.4 - Prob. 48ECh. 5.4 - Transportation Scheduling Your publishing company...Ch. 5.4 - Transportation Scheduling Repeat Exercise 49, but...Ch. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - Prob. 56ECh. 5.4 - Prob. 57ECh. 5.4 - Prob. 58ECh. 5.4 - Prob. 59ECh. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.5 - In Exercises 1-8, write down (without solving) the...Ch. 5.5 - In Exercises 1-8, write down (without solving) the...Ch. 5.5 - In Exercises 1-8, write down (without solving) the...Ch. 5.5 - Prob. 4ECh. 5.5 - In Exercises 1-8, write down (without solving) the...Ch. 5.5 - Prob. 6ECh. 5.5 - In Exercises 1-8, write down (without solving) the...Ch. 5.5 - Prob. 8ECh. 5.5 - In Exercises 9-22, solve the given standard...Ch. 5.5 - In Exercises 9-22, solve the given standard...Ch. 5.5 - Prob. 11ECh. 5.5 - In Exercises 9-22, solve the given standard...Ch. 5.5 - Prob. 13ECh. 5.5 - In Exercises 9-22, solve the given standard...Ch. 5.5 - In Exercises 9-22, solve the given standard...Ch. 5.5 - Prob. 16ECh. 5.5 - Prob. 17ECh. 5.5 - Prob. 18ECh. 5.5 - Prob. 19ECh. 5.5 - In Exercises 9-22, solve the given standard...Ch. 5.5 - Prob. 21ECh. 5.5 - Prob. 22ECh. 5.5 - Prob. 23ECh. 5.5 - In Exercises 23-28, solve the game with the given...Ch. 5.5 - In Exercises 23-28, solve the game with the given...Ch. 5.5 - Prob. 26ECh. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Prob. 31ECh. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Prob. 33ECh. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Prob. 38ECh. 5.5 - Prob. 39ECh. 5.5 - Many of Exercises 29-40 are similar or identical...Ch. 5.5 - Prob. 41ECh. 5.5 - Game Theory: Marketing Your companys new portable...Ch. 5.5 - Game Theory: Morra Games A three-finger Morra game...Ch. 5.5 - Prob. 47ECh. 5.5 - Prob. 48ECh. 5.5 - Prob. 49ECh. 5.5 - Prob. 50ECh. 5.5 - Prob. 51ECh. 5.5 - Prob. 52ECh. 5.5 - Prob. 53ECh. 5.5 - Prob. 54ECh. 5.5 - Prob. 55ECh. 5 - In Exercises 1-4, sketch the region corresponding...Ch. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - In Exercises 5-8, solve the given linear...Ch. 5 - In Exercises 5-8, solve the given linear...Ch. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - In Exercises 9-18, solve the given linear...Ch. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - In Exercises 9-18, solve the given linear...Ch. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - In Exercises 31-34, you are the buyer for...Ch. 5 - In Exercises 31-34, you are the buyer for...Ch. 5 - In Exercises 31-34, you are the buyer for...Ch. 5 - Prob. 34RECh. 5 - Investments Marjory Duffins portfolio manager has...Ch. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Profit Duffin House, which is now the largest...Ch. 5 - Prob. 39RECh. 5 - Purchases You are about to place book orders from...Ch. 5 - Degree Requirements During his lunch break, John...Ch. 5 - Prob. 42RECh. 5 - Shipping On the same day that the sales department...Ch. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - Prob. 46RE
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