MATLAB: An Introduction with Applications
5th Edition
ISBN: 9781118629864
Author: Amos Gilat
Publisher: WILEY
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Chapter 3, Problem 35P
A food company manufactures five types of 8 oz Trail mix packages using different mixtures of peanuts, almonds, walnuts, raisins, and M&Ms. The mixtures have the following compositions:
| Peanuts (oz) | Almonds (oz) | Walnuts (oz) | Raisins (oz) | M&Ms (oz) | |
| Mix 1 | 3 | 1 | 1 | 2 | 1 |
| Mix 2 | 1 | 2 | 1 | 3 | 1 |
| Mix 3 | 1 | 1 | 0 | 3 | 3 |
| Mix 4 | 2 | 0 | 3 | 1 | 2 |
| Mix 5 | 1 | 2 | 3 | 0 | 2 |
How many packages of each mix can be manufactured if 128 lb of peanuts, 118 lb of almonds, 112 lb of walnuts, 112 lb of raisins, and 104 lb of M&Ms are available? Write a system of linear equations and solve.
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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
NuttiestGranola
TotalAvailable
Toasted Oats(ounces)
1
1
5
1,400
Almonds(ounces)
4
8
8
12,000
Raisins(ounces)
2
4
8
3,000
The society makes a profit of $6 on each serving of granola, $8 on each serving of nutty granola, and $3 on each serving of nuttiest granola.
Assuming that the Choral Society can sell all that it makes, how many servings of each will maximize profits?
granola serving(s)
nutty granola serving(s)
nuttiest granola serving(s)
How much of each ingredient will be left over?
toasted oats ounce(s)
almonds ounce(s)
raisins ounce(s)
Through a mistake in mixing, a 10-liter tank of photographic developer is found to contain only 1 gram per liter of hydroquinone instead of the desired 3 grams per liter. How much of this developer must be drawn off and replaced with another developer containing 6 grams per liter of hydroquinone to obtain the desired mixture?a. 3b. 4c. 2d. 6
What about b, c, and d?
Chapter 3 Solutions
MATLAB: An Introduction with Applications
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - 8. The length |u| (magnitude) of a vector is given...Ch. 3 - Prob. 9PCh. 3 - Prob. 10P
Ch. 3 - Prob. 11PCh. 3 - Define the vector v = [2 3 4 5 6]. Then use the...Ch. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Define r and s as scalars r = 1.6 × 103 and s =...Ch. 3 - The area of a triangle ABC can be calculated by...Ch. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Create the following three matrices:...Ch. 3 - 30. Use the matrices A, B, and C from the previous...Ch. 3 - 31. Create a 4 × 4 matrix A having random integer...Ch. 3 - 32. The magic square is an arrangement of numbers...Ch. 3 - 33. Solve the following system of three linear...Ch. 3 - 34. Solve the following system of five linear...Ch. 3 - A food company manufactures five types of 8 oz...Ch. 3 - Prob. 36PCh. 3 -
37. The electrical circuit shown consists of...
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