linear programming

A cargo airplane operated by has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized below: Compartment Weight Capacity (tons) Space Capacity (cu.ft.) Front Center Back 12 13 10 7,000 9,000 5,000 To ensure proper weight ...continues

Linear Programming - Simplex Methods (Finite Mathematics)

1. The feasible set of a certain linear programming problem is given by the following system of linear inequalities. x + 3y (less than or equal to symbol) 6 x - y (less than or equal to symbol) 2 - 5x + y (less than or equal to symbol) 2 Without graphing this set, determine which of the ...continues

Linear Programming : Simplex Method, Pivoting and Maximizing Values

1. Consider the following linear programming problem: Maximize 10x + 7y subject to: X + 3y (less than or equal to symbol) 10 2x -y (less than or equal to symbol) 8 x (greater than or equal to symbol) 0, y (greater than or equal to symbol) 0 The initial simplex tableau is: (for choices, please see attachment) ...continues

Solve a system of 3 equations.

solve for x(1), x(2), x(3); 1. 27,954.606 x(1) + 11,969.843 x(2) - 7515.1688 x(3) = 6124.3394 2. 11,969.843 x(1) + 5900.332 x(2) - 3586.4121 x(3) = 3054.3092 3. -7515.1688 x(1) - 3586.4121 x(2) + 2513.4532 x(3) = -1756.4525

Linear Programming : Find Optimal Solution

A businessman is considering opening a small specialized trucking firm. To make the firm profitable, it is estimated that it must have a daily trucking capacity of at least 84,000 cu. ft. Two types of trucks are appropriate for the specialized operation. Their characteristics are as follows: Truck Cost Capacity ...continues

Determine the Domain and Range

Y= X +1 Y= 3X -1 Y = 5 - X Y= -2X + 1

DETERMINE THE DOMAIN AND RANGE OF EACH RELATION

_______ Y =√ X - 2 _________ Y = √ X + 4 ___ Y= √ 2X _______ Y= √ 2X - 1

linear algebra: finding eigenvalues

Hello. I'm trying to do a principle component analysis of the following file of "good values" - to create a good data signature. I need to find the eigenvectors of each data series. How do I derive the eigenvalues (or eigenvectors) and what are they from this data set? (If you could explain how to do it in matlab, that wo ...continues

Linear Programming : Optimal Solution Using Graphical Methods

The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and frilling. Each air conditioner takes 3 hours or wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of d ...continues

Linear Programming Models: Graphical methods

A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ads costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 people. In planning the adv ...continues