EBK FINITE MATH AND APPLIED CALCULUS
7th Edition
ISBN: 8220103612005
Author: Costenoble
Publisher: CENGAGE L
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Chapter 6.5, Problem 31E
To determine
To calculate: The amount of ounce of each should ruff use in each bag of dog food to minimize cost and the shadow cost of protein and of fat and calculate the shadow cost of fat and protein. If chicken contains
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R₂ = X2
2) slots per pole per phase = 3/31
B-180
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2- A hot ball (D=15 cm ) is cooled by forced air T.-30°C, the rate of heat transfer from the ball
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a) 300 °C 16 b) 327 °C
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Chapter 6 Solutions
EBK FINITE MATH AND APPLIED CALCULUS
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 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 16ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 19ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 26ECh. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 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 - Prob. 38ECh. 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 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 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 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - In the situation described in Exercise 55, is it...Ch. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 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 - Prob. 3ECh. 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 - Prob. 8ECh. 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 - Prob. 13ECh. 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 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 21ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 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 - Prob. 33ECh. 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 - Prob. 39ECh. 6.2 - Television Advertising On Monday evenings in April...Ch. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 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 - Prob. 46ECh. 6.2 - Resource Allocation One day, Gillian the magician...Ch. 6.2 - Prob. 49ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Prob. 58ECh. 6.2 - Prob. 59ECh. 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 - Prob. 62ECh. 6.2 - Prob. 63ECh. 6.2 - Prob. 64ECh. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.3 - Maximize p=2x+y Subject to x+2y6 x+y4 x+y4 x0,y0....Ch. 6.3 - Prob. 2ECh. 6.3 - Maximize p=xy Subject to 5x5y20 2x10y40 x0,y0.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 - Maximize p=x+y+z+w Subject to x+y+z3 y+z+w4 x+z+w5...Ch. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 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 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 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 - Prob. 25ECh. 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 - Prob. 30ECh. 6.3 - Gaming Exercises 31 and 32 are based on the...Ch. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Bodybuilding Supplements Exercises 35 and 36 are...Ch. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Loan Planning27 Enormous State Universitys...Ch. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Transportation Scheduling Your publishing company...Ch. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Are there any types of linear programming problems...Ch. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - What is a basic solution? How might one find a...Ch. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 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 - 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 - Prob. 14ECh. 6.4 - Prob. 15ECh. 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 - Agriculture (Compare Exercise 27 in Section 6.3.)...Ch. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Purchasing Bingos Copy Center needs to buy white...Ch. 6.4 - Resource Allocation Succulent Citrus produce...Ch. 6.4 - Prob. 30ECh. 6.4 - Latin Music Sales (Digital) You are about to go...Ch. 6.4 - Prob. 32ECh. 6.4 - Gaming Exercises 33-36 are based on the following...Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.4 - Prob. 39ECh. 6.4 - Purchasing Federal Rent-a-Car is pulling together...Ch. 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. 6.4 - Prob. 55ECh. 6.4 - Prob. 56ECh. 6.4 - Prob. 57ECh. 6.4 - Prob. 58ECh. 6.4 - Prob. 59ECh. 6.4 - Prob. 60ECh. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 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 - 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. 29ECh. 6.5 - Many of Exercises 29-40 are similar or identical...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 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Prob. 41ECh. 6.5 - Game Theory: Marketing Your companys new portable...Ch. 6.5 - Prob. 43ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 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 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.5 - Prob. 55ECh. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - In Exercises 5-8, solve the given linear...Ch. 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 - In Exercises 9-18, solve the given linear...Ch. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - In Exercises 23-26, solve the game with the given...Ch. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Exercises 27-30 are adapted from the Actuarial...Ch. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - In Exercises 31-34, you are the buyer for...Ch. 6 - Prob. 34RECh. 6 - Investments Marjory Duffins portfolio manager has...Ch. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Degree Requirements No sooner had the new and...Ch. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RE
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- Please solve 14 and 15arrow_forward1. Consider the following system of equations: x13x2 + 4x3 - 5x4 = 7 -2x13x2 + x3 - 6x4 = 7 x16x213x3 - 21x4 = 28 a) Solve the system. Write your solution in parametric and vector form. b) What is a geometric description of the solution. 7 c) Is v = 7 in the span of the set S= [28. 1 HE 3 -5 3 ·6 ? If it is, write v 6 as a linear combination of the vectors in S. Justify. d) How many solutions are there to the associated homogeneous system for the system above? Justify. e) Let A be the coefficient matrix from the system above. Find the set of all solutions to Ax = 0. f) Is there a solution to Ax=b for all b in R³? Justify.arrow_forward4. Suppose that A is made up of 5 column vectors in R³, and suppose that the rank(A)=3. a. How many solutions are there to Ax=0? Justify. b. What is a geometric description for the nullspace(A)? Justify. c. Do the column vectors of A span R³? Justify. d. Is A invertible? Justify.arrow_forward
- 3. Suppose that A is 5 x 5 and rank(A)=4. Use this information to answer the following. a. Give a geometric description of nullspace(A). Justify. b. Is A invertible? Justify. c. Give a geometric description of the span of the column vectors of A. What space are the column vectors of A in? Justify. d. What is determinant of A? Justify.arrow_forward2. Consider the matrix: A || 1 1 -3 14 2 1 01 4 1 2 2 -26 1 -3 1 5] a) What is rank(A)? b) Is A invertible? Justify. c) Find the nullspace(A). Justify. d) Is the trivial solution the only solution to Ax=0? Justify. e) What is the span of the column vectors of A? Justify.arrow_forwardE 5. Suppose that S={v € R²: v = [2x² - 3]}. Is S a subspace of R²? Prove or disprovearrow_forward
- 6. Suppose that V1, V2 ER", show that span{v1, v2} is a subspace of Rn.arrow_forwardRa X 2) slots per pole per phase 3/31 180 Ko Sin (1) Kdl 1 sin (4) sin(3) Sin (30) اذا مرید شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 Fo lasa! G s.1000-950 20:05 1000 Capper losses: 5kw Rotor input lookw 0.05 ined sove in peaper I need a detailed solution on paper please 6) 1 ۳/۱ وه اذا ميريد شرح الكتب فقط look DC 7) rotov Find the general solution of the following equations: +4y=tan2x 3 7357 Find the general solution of the following equations: - Qll y + y (³) = 0. 101arrow_forwardB: 18060 msl Kd Ka, Sin (n) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW /0001 Rotor input 5 : loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط ١٥٠ 7) rotov DC ined sove in Deaper I need a detailed solution on paper please dy x+2y-4 = dx 2x-y-3 Find the general solution of the following equations: 02//yl-4y+13y=esinarrow_forward
- 1) R₂ = X2 2) slots per pole per phase = 3/31 B msl kd 180 60 Kal Sin (1) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW Rotor input: 5 0.05 loo kw 6) 1 /0001 اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please Q1// Find the solution of: 'y' = x² +376 x4+316 xyo Q2 Find the solution of the initial-valued problems: ex-y y' +exarrow_forwardR₂ = X2 2) slots per pole per phase = 3/31 B-18060 msl kd Kasi Sin (1) I sin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed s = 1000-950 1000 Copper losses: 5kw Rotor input 5 0.05 6) 1 120 x 50 G loo kw ined sove in peaper I need a detailed solution on paper please Q3// x²y// +xy/ + (x² - ½) y = x³/². اذا ميريد شرح الكتب فقط look 7) rotor DC Q4// x²y// - (2x+x²)y/ + (2 + x)y = x³. dy 2x+2y+4 = dx 2x-y-3arrow_forward۳/۱ R2X2 2) slots per pole per phase = 3/31 B, 18060 msl Kas Sin() 1sin() sin(30) Sin (30) kd اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speeds S = 1000-950 1000 Copper bosses 5kw 120*50 loca G Rotor input 5 loo kw 6) 1 0.05 اذا ميريد شرح الكتب فقط lookw 7) rotor DC ined sove in peaper I need a detailed solution on paper please 064 Q1// Find the solution of QI/Find the solution of Inxy= 7357 x+2y³ y' = xy3arrow_forward
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