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If f(x) = x^4 - 4x^3 + 10 find the relative extrema of the function and the points of inflection of its graph. Also, sketch the graph of the function.
A brick becomes dislodged from the top of the empire state building (at a height of 1250) and falls to the sidewalk below.
Suppose that the average yearly cost per item for producing x items of a business product is C(x)=10+(100/x) .
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n).
Bob's objective is to mix these drinks in such a way as to make the largest possible number of drinks in advance. Formulate a LP model for this situation.
A container with a rectangular base, rectangular sides and no top is to have a volume of 2 subic meters. The width of the base is to be 1 meter.
What number of balls per hour should Acme produce to minimize the cost per hour of manufacturing these golf balls?
What is the optimal solution to this problem? How do you know?What is the dual of this problem?
What does Newton's method solve and how does it solve it? What is the underlying idea behind the method? Is it guaranteed to work?
Linear Programming : Formulate Decision and Solve by Computer.Horrible Harry's is a chain of 47 self service gas stations served by a small refinery
Create a function to determine how much revenue you will make at each price you charge. This is done by multiplying the price times your function.
Use the Product Rule to find the derivatives of the following functions, Chain Rule to find the derivatives of the following functions.
And explain how this inequality can be used to derive additional bounds on a reliability function.
Consider a symmetric square matrix A and the following linear program:
Calculate the second derivative, and also use the first derivative to find the profit maximizing price.
Consider the following algorithm for solving a linear program in standard form without having to use the Big-M method:
Let M be the set of functions defined on [0,1] that have a continuous derivative there ( one-sided derivatives at the endpoints).
nteger Programming : Optimizing Using Branch and Bound.Use branch and bound to solve the IPs
A company makes three products, A, B, and C. There are 500 pounds of raw material available. Each unit of product A requires 2 pounds of raw material
Thermal Inversion When there is a thermal inversion layer over a city (as happens often in Los Angle).
Optimal solutions in linear programming.Explain the following statement with an example: the optimal solution to a linear programming problem
Implement and solve the problem in Excel. Describe the optimal solution.
Find the complete optimal solution to this linear programming problem.
Linear Programming - optimal solution.Find the optimal solution put your answer int he form of a solution for Z= enter xx only
Assume that you collect P dollars from a transaction and being a mathematics wiz, you have developed formula to calculate the future value of your investment.