Linear Programing/Simplex Method

A jewelry store makes both necklaces and bracelets from gold and platinum. The store has developed the following linear programming model for determining the number of necklaces and bracelets (X1 and X2) that it needs to make to maximize profit. maximize Z = 300X1 + 400X2 (profit, $) subject to 3X1 + 2X2 < 18 (gold, oz ...continues

Matricies to solve equation

please help with attachment

To find inverse of a matrix

What is the inverse of the following matrix? See attached file for full problem description.

Linear programming

1. A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adult open trail, the adult cityscape, the girl’s sea sprite, and the boy’s trail blazer. It is assumed that every bike ordered will be sold, and their profits, respectively, are 30, 25, 22, and 20. The linear ...continues

Linear Programming : Profit Contribution and Maximizing Profit

Skillings Industrial Chemicals, Inc., operates a refinery in southwestern Ohio near the Ohio River. The company’s primary product is manufactured from chemical process that requires that use of two raw materials-material A and material B. The production of 1 pound of the primary product requires the use of 1 pound of material A ...continues

Vectors, Orthogonal Sets and Projections

Please see the attached file for the fully formatted problems.

Vector Subspaces, Gram-Schmidt and Orthogonal Basis

1) Find the closest point to y in the subspace W spanned by v1 and v2. y= v1= v2= #2) Let y, v1, and v2 be as in exercise #1. Find the distance from y to the subspace of R4 spanned by v1 and v2. #3) The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal bas ...continues

Maximum Volume of an Open-Top Box

An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. 1 - Find the function V that represents the colume of the box in terms of x. 2 - Graph this function and ...continues

Linear Programing using Solver

(See attached file for full problem description) How would this be set up in solver? What is the trick to this problem, have not been able to figure it out? I am not getting this one at all. Please explain to me in plain english. Thanks

Failures of column and row

Find the possible failures in the column picture and the row picture, and match them up. Success would be 3 columns whose combinations give every vector b, which matches with 3 planes in the row picture that intersect at one point (the unique solution x). Give numerical examples of these two types of failure: a. 3 columns lie ...continues