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Resource Allocation Podunk Institute of Technolog’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.) Draw the feasible region that shows the number of sections of each class that can be offered. Find the corner points of the region. [ HINT: See Example 4.]

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Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
Publisher: Cengage Learning
ISBN: 9781337274203
BuyFind

Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
Publisher: Cengage Learning
ISBN: 9781337274203

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Chapter 6.1, Problem 34E
Textbook Problem

Resource Allocation Podunk Institute of Technolog’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.) Draw the feasible region that shows the number of sections of each class that can be offered. Find the corner points of the region. [HINT: See Example 4.]

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Chapter 6 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)
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Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - Resource Allocation You manage an ice cream...Ch. 6.1 - Resource Allocation Podunk Institute of Technologs...Ch. 6.1 - Nutrition, Ruff, Inc. makes dog food out of...Ch. 6.1 - Purchasing Enormous State Universitys Business...Ch. 6.1 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.1 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.1 - Municipal Bond Funds The Pioneer Investment...Ch. 6.1 - Mutual Funds In 2015, the Phoenix/Zweig Advisors...Ch. 6.1 - Investments: Financial Stocks (Compare Exercise 51...Ch. 6.1 - Investments: High-Dividend Stocks (Compare...Ch. 6.1 - Advertising You are the marketing director for a...Ch. 6.1 - Advertising You are the marketing director for a...Ch. 6.1 - Find a system of inequalities whose solution set...Ch. 6.1 - Find a system of inequalities whose solution set...Ch. 6.1 - How would you use linear inequalities to describe...Ch. 6.1 - Explain the advantage of shading the region of...Ch. 6.1 - Describe at least one drawback to the method of...Ch. 6.1 - Draw several bounded regions described by linear...Ch. 6.1 - In Exercises 51-54, you are mixing x grams of...Ch. 6.1 - In Exercises 51-54, you are mixing x grams of...Ch. 6.1 - In Exercises 51-54, you are mixing x grams of...Ch. 6.1 - In Exercises 51-54, you are mixing x grams of...Ch. 6.1 - You are setting up a system of inequalities in the...Ch. 6.1 - In the situation described in Exercise 55, is it...Ch. 6.1 - Create an interesting scenario that leads to the...Ch. 6.1 - Create an interesting scenario that leads to the...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Resource Allocation You manage an ice cream...Ch. 6.2 - Resource Allocation Podunk Institute of...Ch. 6.2 - Nutrition Ruff, Inc. makes dog food out of chicken...Ch. 6.2 - Purchasing Enormous State Universitys Business...Ch. 6.2 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.2 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.2 - Energy Efficiency You are thinking of making your...Ch. 6.2 - Energy Efficiency (Compare with Exercise 31). You...Ch. 6.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 6.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 6.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 6.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 6.2 - Resource Allocation Your salami manufacturing...Ch. 6.2 - Project Design The Megabuck Hospital Corporation...Ch. 6.2 - Television Advertising On Monday evenings in April...Ch. 6.2 - Television Advertising On Monday evenings in April...Ch. 6.2 - Investing Exercises 41 and 42 are based on the...Ch. 6.2 - Investing Exercises 41 and 42 are based on the...Ch. 6.2 - Investments: Financial Stocks (Compare Exercise 41...Ch. 6.2 - Investments: High-Dividend Stocks (Compare...Ch. 6.2 - Planning My friends: I, the mighty Brutus, have...Ch. 6.2 - Planning Repeat Exercise 45 with the following...Ch. 6.2 - Resource Allocation One day, Gillian the magician...Ch. 6.2 - Management21 You are the service manager for a...Ch. 6.2 - If a linear programming problem has a bounded,...Ch. 6.2 - If a linear programming problem has an unbounded,...Ch. 6.2 - What can you say if the optimal value occurs at...Ch. 6.2 - Describe at least one drawback to using the...Ch. 6.2 - The feasible region of your LP problem is...Ch. 6.2 - The feasible region of your LP problem is...Ch. 6.2 - Create a linear programming problem in two...Ch. 6.2 - Create a linear programming problem in two...Ch. 6.2 - Create an interesting scenario leading to the...Ch. 6.2 - Create an interesting scenario leading to the...Ch. 6.2 - Use an example to show why there may be no optimal...Ch. 6.2 - Use an example to illustrate why, in the event...Ch. 6.2 - You are setting up an LP problem for Fly-by-Night...Ch. 6.2 - In the situation described in Exercise 63, you...Ch. 6.2 - Consider the following example of a nonlinear...Ch. 6.2 - Solve the nonlinear programming problem in...Ch. 6.3 - Maximize p=2x+y Subject to x+2y6 x+y4 x+y4 x0,y0....Ch. 6.3 - Maximize p=x Subject to xy4 x+3y4 x0,y0. [HINT:...Ch. 6.3 - Maximize p=xy Subject to 5x5y20 2x10y40 x0,y0.Ch. 6.3 - Maximize p=2x+3y Subject to 3x+8y24 6x+4y30 x0,y0.Ch. 6.3 - Maximize p=5x4y+3z Subject to 5x+5z100 5y5z50...Ch. 6.3 - Maximize p=6x+y+3z Subject to 3x+y15 2x+2y+2z20...Ch. 6.3 - Maximize p=7x+5y+6z Subject to x+yz3 x+2y+z8 x+y5...Ch. 6.3 - Maximize p=3x+4y+2z Subject to 3x+y+z5 x+2y+z5...Ch. 6.3 - Maximize z=3x1+7x2+8x3 Subject to 5x1x2+x31,500...Ch. 6.3 - Maximize z=3x1+4x2+6x3 Subject to 5x1x2+x31,500...Ch. 6.3 - Maximize p=x+y+z+w Subject to x+y+z3 y+z+w4 x+z+w5...Ch. 6.3 - Maximize p=xy+z+w Subject to x+y+z3 y+z+w3 x+z+w4...Ch. 6.3 - Maximize p=x+y+z+w+v Subject to x+y1 y+z2 z+w3...Ch. 6.3 - Maximize p=x+2y+z+2w+v Subject to x+y1 y+z2 z+w3...Ch. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - Purchasing You are in charge of purchases at the...Ch. 6.3 - Sales The Marketing Club at your college has...Ch. 6.3 - Resource Allocation Arctic Juice Company makes...Ch. 6.3 - Purchasing Trans Global Tractor Trailers has...Ch. 6.3 - Resource Allocation The Enormous State University...Ch. 6.3 - Resource Allocation You manage an ice cream...Ch. 6.3 - Agriculture Your small farm encompasses 100 acres,...Ch. 6.3 - Agriculture Your farm encompasses 500 acre, and...Ch. 6.3 - Resource Allocation (Compare Exercise 36 in...Ch. 6.3 - Resource Allocation Repeat Exercise 29, but this...Ch. 6.3 - Gaming Exercises 31 and 32 are based on the...Ch. 6.3 - Gaming Exercises 31 and 32 are based on the...Ch. 6.3 - Recycling Safety-Kleen operates the worlds largest...Ch. 6.3 - Recycling Repeat Exercise 33, but this time assume...Ch. 6.3 - Bodybuilding Supplements Exercises 35 and 36 are...Ch. 6.3 - Bodybuilding Supplements Exercises 35 and 36 are...Ch. 6.3 - Investing Exercises 37 and 38 are based on the...Ch. 6.3 - Investing Exercises 37 and 38 are based on the...Ch. 6.3 - Loan Planning27 Enormous State Universitys...Ch. 6.3 - Investments You have $100,000 that you are...Ch. 6.3 - Portfolio Management If x dollars are invested in...Ch. 6.3 - Portfolio Management Referring to Exercise 41,...Ch. 6.3 - Transportation Scheduling (This exercise is almost...Ch. 6.3 - Transportation Scheduling Repeat Exercise 43, but...Ch. 6.3 - Transportation Scheduling Your publishing company...Ch. 6.3 - Transportation Scheduling Repeal Exercise 45, but...Ch. 6.3 - Can the following linear programming problem be...Ch. 6.3 - Can the following linear programming problem be...Ch. 6.3 - Why is the simplex method useful? (After all, we...Ch. 6.3 - Are there any types of linear programming problems...Ch. 6.3 - Your friend Janet is going around telling everyone...Ch. 6.3 - Your other friend Jason is going around telling...Ch. 6.3 - What is a basic solution? How might one find a...Ch. 6.3 - In a typical simplex method tableau, there are...Ch. 6.3 - Can the value of the objective function decrease...Ch. 6.3 - Can the value of the objective function remain...Ch. 6.4 - Maximize p=x+y subject to x+2y6 x+y4 2x+y8 x0,y0...Ch. 6.4 - Maximize p=3x+2y subject to x+3y6 x+y4 2x+y8 x0,y0...Ch. 6.4 - Maximize p=12x+10y subject to x+y25 x10 x+2y0...Ch. 6.4 - Maximize p=x+2y subject to x+y25 y10 2xy0 x0,y0.Ch. 6.4 - Maximize p=2x+5y+3z subject to x+y+z150 x+y+z100...Ch. 6.4 - Maximize p=3x+2y+2z subject to x+y+2z38 2x+y+z24...Ch. 6.4 - Maximize p=10x+20y+15z subject to x+2y+z40 2yz10...Ch. 6.4 - Maximize p=10x+10y+15z subject to xy+z12 2x2y+z15...Ch. 6.4 - Maximize p=x+y+3z+w subject to x+y+z+w40 2x+yzw10...Ch. 6.4 - Maximize p=x+y+4z+2w subject to x+y+z+w50 2x+yzw10...Ch. 6.4 - Minimize c=6x+6y subject to x+2y20 2x+y20 x0,y0.Ch. 6.4 - Minimize c=3x+2y subject to x+2y20 2x+y10 x0,y0Ch. 6.4 - Minimize c=2x+y+3z subject to x+y+z100 2x+y50...Ch. 6.4 - Minimize c=2x+2y+3z subject to x+z100 2x+y50 y+z50...Ch. 6.4 - Minimize c=50x+50y+11z subject to 2x+z3 2x+yz2...Ch. 6.4 - Minimize c=50x+11y+50z subject to 3x+z8 3x+yz6...Ch. 6.4 - Minimize c=x+y+z+w subject to 5xy+w1,000 z+w2,000...Ch. 6.4 - Minimize c=5x+y+z+w subject to 5xy+w1,000 z+w2,000...Ch. 6.4 - In Exercises 19-24, we suggest the use of...Ch. 6.4 - In Exercises 19-24, we suggest the use of...Ch. 6.4 - In Exercises 19-24, we suggest the use of...Ch. 6.4 - In Exercises 19-24, we suggest the use of...Ch. 6.4 - In Exercises 19-24, we suggest the use of...Ch. 6.4 - In Exercises 19-24, we suggest the use of...Ch. 6.4 - Agriculture (Compare Exercise 27 in Section 6.3.)...Ch. 6.4 - Agriculture (Compare Exercise 28 in Section 6.3.)...Ch. 6.4 - Politics The political pollster Canter preparing...Ch. 6.4 - Purchasing Bingos Copy Center needs to buy white...Ch. 6.4 - Resource Allocation Succulent Citrus produce...Ch. 6.4 - Resource Allocation Fancy Pineapple produces...Ch. 6.4 - Latin Music Sales (Digital) You are about to go...Ch. 6.4 - Latin Music Sales (Digital) It seems that your...Ch. 6.4 - Gaming Exercises 33-36 are based on the following...Ch. 6.4 - Gaming Exercises 33-36 are based on the following...Ch. 6.4 - Gaming Exercises 33-36 are based on the following...Ch. 6.4 - Gaming Exercises 33-36 are based on the following...Ch. 6.4 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.4 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.4 - Purchasing Cheapskate Electronics Store needs 10...Ch. 6.4 - Purchasing Federal Rent-a-Car is pulling together...Ch. 6.4 - Bodybuilding Supplements Exercises 41 and 42 are...Ch. 6.4 - Bodybuilding Supplements Exercises 41 and 42 are...Ch. 6.4 - Subsidies The Miami Beach City Council has offered...Ch. 6.4 - Subsidies Refer back 10 Exercise 43. You are about...Ch. 6.4 - Transportation Scheduling We return 10 your...Ch. 6.4 - Transportation Scheduling In the situation...Ch. 6.4 - Finance Senator Porkbarrel habitually overdraws...Ch. 6.4 - Scheduling Because Joe Slims brother was recently...Ch. 6.4 - Transportation Scheduling Your publishing company...Ch. 6.4 - Transportation Scheduling Repeat Exercise 49, but...Ch. 6.4 - Hospital Staffing As the staff director of a new...Ch. 6.4 - Hospital Staffing Referring to Exercise 51, you...Ch. 6.4 - Explain the need for Phase I in a nonstandard LP...Ch. 6.4 - Explain the need for Phase II in a nonstandard LP...Ch. 6.4 - Explain briefly why we would need to use Phase I...Ch. 6.4 - Which rows do we star, and why?Ch. 6.4 - Consider the following linear programming problem:...Ch. 6.4 - Consider the following linear programming problem:...Ch. 6.4 - Find a linear programming problem in three...Ch. 6.4 - Find a linear programming problem in three...Ch. 6.4 - Find a linear programming problem in two or three...Ch. 6.4 - Find a linear programming problem in two or three...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 9-22, solve the given standard...Ch. 6.5 - In Exercises 23-28, solve the game with the given...Ch. 6.5 - In Exercises 23-28, solve the game with the given...Ch. 6.5 - In Exercises 23-28, solve the game with the given...Ch. 6.5 - In Exercises 23-28, solve the game with the given...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Game Theory: Politics Incumbent Tax N. Spend and...Ch. 6.5 - Game Theory: Marketing Your companys new portable...Ch. 6.5 - Game Theory: Morra Games A three-finger Morra game...Ch. 6.5 - A minimization problem has three variables and two...Ch. 6.5 - A minimization problem has more constraints (other...Ch. 6.5 - Give one possible advantage of using duality to...Ch. 6.5 - To ensure that the dual of a minimization problem...Ch. 6.5 - Give an example of a standard minimization problem...Ch. 6.5 - Give an example of a nonstandard minimization...Ch. 6.5 - If the primal problem is a standard minimization...Ch. 6.5 - If the primal problem is a nonstandard...Ch. 6.5 - Given a minimization problem, when would you solve...Ch. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - In Exercises 5-8, solve the given linear...Ch. 6 - In Exercises 5-8, solve the given linear...Ch. 6 - In Exercises 5-8, solve the given linear...Ch. 6 - Minimize c=3x+y Subject to 3x+2y6 2x3y0 3x2y0...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - In Exercises 19-22, solve the given linear...Ch. 6 - In Exercises 19-22, solve the given linear...Ch. 6 - In Exercises 19-22, solve the given linear...Ch. 6 - In Exercises 19-22, solve the given linear...Ch. 6 - In Exercises 23-26, solve the game with the given...Ch. 6 - In Exercises 23-26, solve the game with the given...Ch. 6 - In Exercises 23-26, solve the game with the given...Ch. 6 - In Exercises 23-26, solve the game with the given...Ch. 6 - Exercises 27-30 are adapted from the Actuarial...Ch. 6 - Exercises 27-30 are adapted from the Actuarial...Ch. 6 - Exercises 27-30 are adapted from the Actuarial...Ch. 6 - Exercises 27-30 are adapted from the Actuarial...Ch. 6 - In Exercises 31-34, you are the buyer for...Ch. 6 - In Exercises 31-34, you are the buyer for...Ch. 6 - In Exercises 31-34, you are the buyer for...Ch. 6 - In Exercises 31-34, you are the buyer for...Ch. 6 - Investments Marjory Duffins portfolio manager has...Ch. 6 - Investments Marjory Duffins other portfolio...Ch. 6 - Resource Allocation Billy-Sean OHagan has joined...Ch. 6 - Profit Duffin House, which is now the largest...Ch. 6 - Purchases You are just about to place book orders...Ch. 6 - Purchases You are about to place book orders from...Ch. 6 - Degree Requirements During his lunch break, John...Ch. 6 - Degree Requirements No sooner had the new and...Ch. 6 - Shipping On the same day that the sales department...Ch. 6 - Transportation Scheduling Duffin House is about to...Ch. 6 - Marketing Marjory Duffin, head of Duffin House,...Ch. 6 - Study Techniques Billy-Seans friend Pat from...

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