Quantitative analysis Linear programming Models Graphical methods

The outdoor furniture Corporation manufactures two products, benches and picnic tables, for use in yards and parks. The firm has two main resources: its carpenters (labor force) and a supply of redwood for use in the furniture. During the next production cycle, 1,200 hours of labor are available under a union agreement. The firm also has a stock of 3,500 feet of good-quality redwood. Each bench that Outdoor Furniture produces requires 4 labor hours and 10 feet of redwood; each picnic table takes 6 labor hours and 35 feet of redwood. Completed benches will yield a profit of $9 each, and table will result in a profit of $20 each. How many benches and table should Outdoor Furniture produce to o... click for more

Comparing Hyperbola Graphs; Practical Uses of Probability

One of the civil engineers you interviewed for your article works for a company which specializes in bridge construction projects. In the process of designing suspension bridges, they must account for many variables in the modeling. Some of these variables include the bridge span; the force of the typical water currents wearing upon the structure; ice flows striking the structure; the forces the current creates caused by river traffic flowing beneath the bridge; height of the bridge and the wind force. The bridge also has to be designed to withstand the constant flow of traffic on the bridge and to bear its weight. Graphing parabolas and hyperbolas can be used to illustrate some of these des... click for more

This is a Linear Algebra Question

Prove that every cyclic module in a commutative ring R is of the form R/L for some ideal L. //Note: R/L is said "R modulo L"

Linear Algebra: symmetrix matrices; linear operator

Let L(A) = A + A^t be a map on the space of all 5x5 symmetrix matrices. Prove that L is a linear operator and find its matrix in some basis.

Linear Algebra: Matrix; Conjugacy

Let A be a 7x7 matrix. Find all solutions of the equation A^7 = 0 up to conjugacy.