Simplex Method problem

I'm having problems solving this one: Use the Simplex Method. Maximize P = 2x1 + 8x2 + 10x3 +x4 Subject to the constraints x1 + 2x2 + x3 +x4  50 3x1 + x2 + 2x3 +x4  100 x1 >0, x2 >0, x3 >0, x4 >0

method incorporating the duality

Minimize C = 4x1 + 2x2 Subject to the constraints x1 + 2x2 >4 x1 + 4x2 >6 x1 >0, x2 >0 Use the method incorporating the duality.

maximum profit

A brewery manufactures 3 types of beer ---lite, regular and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar, and 1 bag of hops. Each vat of regular beer requires 4 bags of barley, 3 bags of sugar, and 1 bag of hops. Each vat of dark beer requires 2 bags of barley, 2 bags of sugar, and 4 bags of hops. Eac ...continues

Compound Interest

This is my problem: A man has $50,000 invested at 12% compounded quarterly at the time he retires. If he wishes to withdraw money every 3 months, for the next 7 years, what will be the size of his withdrawals?

Sinking Fund

$6000 is borrowed at 10% compounded semi-annually. The amount is to be paid back in 5 years. If a sinking fund is established to repay the loan sand interest in 5 years, and the fund earns 8% compounded quarterly, how much will have to be paid into the fund every 3 months?

Truth Table

Construct a truth table for the statement below: p^(~pVq) Is the statement a tautology?

Inverse of the Matrix

Find the inverse of the matrix: 9 6 -3 2 6 4 -3 2 1

Linear Programming-Feasible sets

Linear Programming-Feasible sets. ****NOTE---In the attached file, the possible solutions to each powerpoint slide are in the "Note section". There are 5 powerpoint slides and each has notes attached for possible solutions. I need assistance in solving the problems.

derivatives

Find the derivatives of the functions y=x^2 + 2x/x y=3x^2 - 4x/6x f(x)= 3^sqrt x (sqrt x + 3) f(x)= 3x- 2/2x - 3

more derivatives

Find the derivative of the functions. y= 1/ x-2 s(t)= 1/ t^2+ 3t- 1 f(x)= 1/ (x^2- 3x)^2 y= 1/ (sqrt x + 2)