As part of a quality improvement initiative, Consolidated Electronics employees complete a three-day training program on teaming and a two-day training program on problem solving. The manager of quality improvement requested that at least 8 training programs on teaming and at least 10 training programs on problem solving be offered during the next
six months. In addition, senior-level management specified that at least 25 training programs must be offered during this period. Consolidated Electronics uses a consultant to teach the training programs. During the next six months, the consultant has 84 days of training time available. Each training program on teaming costs $10,000 and each training
program on problem solving costs $8,000.

a. Formulate a linear programming model that can be used to determine the number of training programs on teaming and the number of training programs on problem solving
that should be offered in order to minimize total cost.
b. Graph the feasible region.
c. Determine the coordinates of each extreme point.
d. Solve for the minimum-cost solution.

Solution Summary

A Complete, Neat and Step-by-step solution is provided in the attached file.

Assume that x2, x7 and x8 are the dollars invested in three different common stocks from New York stock exchange. In order to diversify the investments, the investing company requires that no more than 60% of the dollars invested can be in "stock two". The constraint for this requirement SHOULD be written as:
a) x2 > 0.60

Given the following linear programming problem:
Min Z = 2x + 8y
Subject to (1) 8x + 4y 64
(2) 2x + 4y 32
(3) y 2
At the optimal solution the minimum cost is:
a. $30
b. $40
c. $50
d. $52
d. $53.33

In each of parts (a) and (b), an operation * is defined over the set of natural numbers. For each operation, determine these four things.
See Attachment.
Please provide detailed explanation showing all steps and reasoning as well as formal notation for the Proof.
Please post response as a MS Word or PDF file.
Thank

Use Gauss-Jordon method to solve the following system of equations:
2s + y - z =1
x -2y + 2z = 7
3x + y + z =4
I have completed...
2 1 -1 1 1 -2 2 1
1 -2 2 7 R1 <->R2 2 -1 2 7 R1 x 2
3 1 1 4 3 1 1 4 R2 - R1

Claims company processes insurance claims, their perm operators can process 16 claims/day and temp process 12/day and the average for the company is at least 450/day. They want to limit claims error to 25 per day total, and the perm generate .5 errors/day and temp generate 1.4 error per day. The perm operators are paid $465/da

1. solve the following equations and show work.
2. You are given the following system of linear equations:
x - y + 2z = 13
2x + xy - z = -6
-x + 3y + z = -7
a. Provide a coefficient matrix corresponding to the system of linear equations.
b. What is the inverse of this matrix?
c. What is the transpose of this mat

We are studying an inner product spaces. See attached file for full problem description.
Let V be a C-space of all complex valued polynomials with an inner product....
(i) Let p be a polynomial and let Mp: V-> V be a linear operator that is given by
Mp (q) :=p⋅q. Show that operator Mp has an adjoint and find it.
(i

Please make sure all work is shown to include the tables so that I can do a comparison to make sure the way I think it should be done is being done. While QM for windows can be used to solve this, I would appreciate the other way shown as well so that I can understand what is going on verse having a program do the work for me.

During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour, in a 2-hour period,
What is the probability that 2 boats arrive?
Answer in the form 0.xxxx or.xxxx

Hi, I need some assistance with all the attached questions. I am not too sure how to answer them and a step-by-step working guide for each question would really help me in understanding these problems. These are all linear algebra problems.