Maximize & minimize

Use simplex method Please see the attached file for full problem description.

Word Problem

You are a contestant on a televaision game show. In front of you are three closed doors. Behind one of them is a new car, and behind the other two are goats. You get to pick on of the doors, and you will win what is behind it. We will assume that you want to win the new car, and not the goats. However, the way the game works is that the door you pick does not get opened immediately. Instead, the host will open one of the other doors to reveal a goat (the host knows where the car is, and will always open a door with a goat). He will then give you a chance to change your mind: you can switch and pick the other closed door instead, or stay with your original choice. Which of thes... click for more

Finance

Annuity

Find the solution, if it exists, to this system of linear equations

Find the solution, if it exists, to this system of linear equations: x + 2y – z = -4 3x + 7y – 6z = -21 x + 4y – 6z = -17 Find the solution, if it exists, to this system of linear equations: x – z = 2 2x - y = 4 x + y + z = 6 A cookie company makes three kinds of cookies, oatmeal raisin, chocolate chip, and shortbread, packaged in small, medium and large boxes. The small box contains 1 dozen oatmeal raisin and 1 dozen chocolate chip; the medium box has 2 dozen oatmeal raisin, 1 dozen chocolate chip, and 1 dozen shortbread; the large box contains 2 dozen oatmeal raisin, 2 dozen chocolate chip, and 3 dozen shortbread. If you require exactly 15 dozen oatmea... click for more

probability (real world problem)

Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six? If you and 10 of your friends were to go purchase 10 boxes each how greater would your chances be?