Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 15, Problem 12P
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To explain how to calculate total VORP of players, total amount of money spend and list of players.
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Maximization Problem:
Production Optimization
A metallurgical company produces three types of metal products: A, B and C. These
Products require different amounts of resources to manufacture. The company
has limitations on the number of labor hours, machines available and
raw Materials. The goal is to maximize total profit.
Variables
X₁: Quantity of products A to produce.
X₂: Quantity of products B to produce.
X3: Quantity of products C to be produced.
X4: Hours of labor used.
X5: Hours of machines used.
X: Amount of raw material used for A.
X7: Amount of raw material used for B.
X₂: Amount of raw material used for C.
Xg: Upper limit on total product production.
X10: Upper limit on the number of work hours available.
Objective Function
Maximize Z = 5x, +8x₂+6x3
Restrictions
2x₁+4x₂+3x3 ≤ x₂ (Labor restriction)
3x₁+2x₂+5x3 ≤ X5 (Machine restriction)
X ≤ 5x₂ (Raw material for A)
2x, ≤ 6x₂ (Raw material for B)
3x ≤ 4x, (Raw material for C)
X₂+x₂+x3 ≤ x₂ (Limit on total production)
X4 SX₂0…
Fergusonball players are given a star rating based on the number of points that they score and the number of fouls that they commit. Specifically, they are awarded 5 stars for each point scored, and 3 stars are taken away for each foul committed. For every player, the number of points that they score is greater than the number of fouls that they commit.
Your job is to determine how many players on a team have a star rating greater than 40. You also need to determine if the team is considered a gold team which means that all the players have a star rating greater than 40.
Input Specification
The first line of input consists of a positive integer N representing the total number of players on the team. This is followed by a pair of consecutive lines for each player. The first line in a pair is the number of points that the player scored. The second line in a pair is the number of fouls that the player committed. Both the number of points and the number of fouls, are non-negative integers.…
Computer Science
Investing in stocks is a way to create assets that are supposed to provide financial security over time. In solving this problem, we assume that an investor buys several shares of stock at a certain price. These shares are going to be sold later on for a different price. Obviously, if the selling price is higher than the acquisition price, the investor makes a profit, registering capital gain. If the shares are sold at a lower price, the investor has a loss, which marks a negative capital gain.
This whole process is done over a period of time, and you are required to create a scenario for buying and selling shares. The assumption is that the investor sells shares in the order in which they were purchased.
The goal is to calculate the capital gain over time.
Suppose that you buy n shares of stock or mutual fund for d dollars each. Later, you sell some of these shares. If the sale price exceeds the purchase price, you have made a profit—a capital gain. On the other…
Chapter 15 Solutions
Introduction to Algorithms
Ch. 15.1 - Prob. 1ECh. 15.1 - Prob. 2ECh. 15.1 - Prob. 3ECh. 15.1 - Prob. 4ECh. 15.1 - Prob. 5ECh. 15.2 - Prob. 1ECh. 15.2 - Prob. 2ECh. 15.2 - Prob. 3ECh. 15.2 - Prob. 4ECh. 15.2 - Prob. 5E
Ch. 15.2 - Prob. 6ECh. 15.3 - Prob. 1ECh. 15.3 - Prob. 2ECh. 15.3 - Prob. 3ECh. 15.3 - Prob. 4ECh. 15.3 - Prob. 5ECh. 15.3 - Prob. 6ECh. 15.4 - Prob. 1ECh. 15.4 - Prob. 2ECh. 15.4 - Prob. 3ECh. 15.4 - Prob. 4ECh. 15.4 - Prob. 5ECh. 15.4 - Prob. 6ECh. 15.5 - Prob. 1ECh. 15.5 - Prob. 2ECh. 15.5 - Prob. 3ECh. 15.5 - Prob. 4ECh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12P
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