In order for there to be a stalemate, there are four requirements that need to be fulfilled.
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In order for there to be a stalemate, there are four requirements that need to be fulfilled.
Step by step
Solved in 2 steps
- What are the necessary conditions to prevent reaching a stalemate?In certain cases, the cost of preventing a stalemate is lower than the cost of discovering one after it has already taken place.When a stalemate is identified, the required resources are made available to those who are unable to proceed.
- Problem You have a fence post located at the point (x,y) where a goat is tethered by a rope. You also have a house, which is a rectangle with diagonally opposite corners at the points bottom-left: (x1,y1) and top-right: (x2,y2). You want to pick a length of rope that guarantees the goat cannot reach the house. Determine the minimum distance from the fence post to the house, so that you can make sure to use a shorter rope. Recall that the distance formula is: (x2−x1)2+(y2−y1)2 The input consists of a single line containing six space-separated integer values: x, y, x1, y1, x2, and y2. You are guaranteed that x1<x2 and y1<y2, and that (x,y) is strictly outside the axis-aligned rectangle with corners at (x1,y1) and (x2,y2). Return the minimum distance from the goat’s post to the house as a floating-point value from main(). Learning Objectives Be able to create a program with a lesser template. Be able to calculate the min/max of integers. Be able to write a mathematical…A large apple farm distributes their apples in boxes that they can source from any one of a number of nearby box manufacturers. Each box manufacturer makes only one box type that holds a specific number of apples - so a box from one manufacturer might hold 24 apples, while a box from another might hold 13. The apple farm can only choose one box supplier each year (a decision they make each year based on price), but they can then order an unlimited number of boxes of that type. The farm likes to be prepared, and creates large batches of apples to pack before the decision about which box type to use has been made. The farm also likes to limit waste, and tries to set the number of apples in these large batches such that they can fill an integer number of boxes perfectly with no apples left over. In creating these batches, although the farm doesn't yet know the exact capacity of the boxes they will buy, they know a list of possible values the box capacity will take. For example, if the…A library must build shelving to shelve 200 4-inch high books, 150 8-inch high books, 300 10-inch high books and 180 12-inch high books. Each book is 0.5 inch thick. The library has several ways to store the books. For example, an 8-inch high shelf may be built to store all books of height less than or equal to 8 inches, and a 12-inch high shelf may be built for the 12-inch books. Alternatively, a 12-inch high shelf might be built to store all books. The library believes it costs $2,300 to build a shelf and that a cost of $5 per square inch is incurred for book storage. (Assume that the area required to store a book is given by height of storage area times book’s thickness.) Formulate and solve a shortest-path problem that could be used to help the library determine how to shelve the books at minimum cost. (Hint: Have nodes 0, 4, 8, 10 and 12, with cij being the total cost of shelving all books of height >i and ≤ j on a single shelf.)
- Once a stalemate has been identified, a plan must be devised.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…A person is looking to invest $100,000 in hopes of getting the highest return possible. There are 4 investment options available: bonds, mutual funds, stocks, or a saving account yielding interest. The bonds give a 3% annual return, mutual funds give an 8% return, stocks give a 10% return, and the savings account gives a 2% return (all investments subject to risk). To control for risk, several constraints are put into place: 1. No more than 15% of the total investment can be put into stocks. 2. At least 40% must be invested in mutual funds and/or the savings account. 3. The amount put in the savings account must be no more than the amount put into the other investments combined. 4. The ratio of money invested in bonds and mutual fund to the amount in stocks and the savings account should be at least 1.2 to 1. 5. All $100,000 must be invested and no shorting is allowed (It means there will be no “borrowed” money”) Formulate a linear programming model for this problem to get the highest…