Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 6.4, Problem 38E
Nutrition Gerber Products’ Gerber Mixed Cereal for Baby contains, in each serving, 60 calorie, no vitamin C, and 11 grams of carbohydrates. Gerber Mango Tropical Fruit Dessert contains in each serving, 80 calorie, 45% of the RDA of vitamin C for infants, and 21 grams of carbohydrates. Gerber Apple Banana Juice contains, in each serving. 60 calorie, 120% of the RDA of vitamin C for infants, and 15 grams of carbohydrates.34 Assume that the cereal costs 11 ¢ per serving, the dessert costs 50¢ per serving, and the juice cost 30¢ per serving, If you want to provide your child with at least 180 calories, at least 120% of the RDA of vitamin C, and at least 37 gram of carbohydrates, how can you do so at the least cost?
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Given lim x-4 f (x) = 1,limx-49 (x) = 10, and lim→-4 h (x) = -7 use the limit properties
to find lim→-4
1
[2h (x) — h(x) + 7 f(x)] :
-
h(x)+7f(x)
3
O DNE
17. Suppose we know that the graph below is the graph of a solution to dy/dt = f(t).
(a) How much of the slope field can
you sketch from this information?
[Hint: Note that the differential
equation depends only on t.]
(b) What can you say about the solu-
tion with y(0) = 2? (For example,
can you sketch the graph of this so-
lution?)
y(0) = 1
y
AN
(b) Find the (instantaneous) rate of change of y at x = 5.
In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of
change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the
following limit.
lim
h→0
-
f(x + h) − f(x)
h
The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule
defining f.
f(x + h) = (x + h)² - 5(x+ h)
=
2xh+h2_
x² + 2xh + h² 5✔
-
5
)x - 5h
Step 4
-
The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x).
-
f(x + h) f(x) =
= (x²
x² + 2xh + h² -
])-
=
2x
+ h² - 5h
])x-5h) - (x² - 5x)
=
]) (2x + h - 5)
Macbook Pro
Chapter 6 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
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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