EBK FINITE MATH AND APPLIED CALCULUS
7th Edition
ISBN: 8220103612005
Author: Costenoble
Publisher: CENGAGE L
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Textbook Question
Chapter 6.3, Problem 29E
Resource Allocation (Compare Exercise 36 in Chapter 4 Review) The Enormous State University Choral Society is planning its annual Song Festival, when it will serve three kinds of delicacies: granola treats, nutty granola treats, and nuttiest granola treats. The following table shows some of the ingredients required for a single serving of each delicacy as well as the total amount of each ingredient available:
| Granola | Nutty Granola | Nuttiest Granola | Total Available | |
| Toasted Oats (ounces) | 1 | 1 | 5 | 1,500 |
| Almonds (ounces) | 4 | 8 | 8 | 10,000 |
| Raisins (ounces) | 2 | 4 | 8 | 4,000 |
The society make a profit of 6 on each serving of granola, $8 on each serving of nuttiest granola, and $3 on each serving of nuttiest granola. Assuming that the Choral Society can sell all that it makes, how many serving of each will maximize profits? How much of each ingredient will be left over?
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3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
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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