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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We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…
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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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