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Linear programming
1. Why is Linear programming important in business? What are other areas where linear programming is used?
2. We often use technology to help us solve mathematics problems. What might the phrase "respect the technology" mean?
3. In what way does the excellence in business require respect?
4. Do you have to respect the business man to respect his business? How about business with him?
5. if you respect your employees and customers, what are some situations where you might not go with the optimal mathematics solution from a linear programming problem, but against the result even though it will less likely be profitable?
Modeling - Math 056 - Homework 3. In this equation, α represents the maximal growth rate of the organism and β is the inhibition of growth caused by overpopulation. Find the steady states. Determine when the steady states are stable
Construct counterexamples to the following statements: For x ∈ R: 'If x is not rational then χ - 1/ χ is not rational'. For p ∈ N: 'If p is prime then 2p - 1 or 2p + 1 is prime'
you can solve this part a after read network a consider the following electrical network and corresponding oriented
The cost per unit produced at a certain facility is represented by the function UC = 2x^2 - 10x + 50, where x is in thousands of units produced. For what value of x would unit cost be minimized (other than zero)? What is the minimum cost at this v..
Give optimal no-arbitrage bounds on a call option struck at 100. If the call option struck at 100 is worth 5, give optimal no-arbitrage bounds on a call option struck at 110.
Prove the Casorati-Weierstrass Theorem: Suppose f has an isolated essential singularity at p. Then the image of any neighborhood of p under f is dense in C. Otherwise put, given w ∈ C, there is a sequence {zn} converging to p such that {f(zn)} con..
Consider the differential equation for mass-spring-damper system as shown: d2x/dt2 + 2γ(dx/dt) + k2x = 0. Write the second order ODE as a system of first order ODEs
a. Formulate a linear programming model and solve. b. How many acres of farmland will not be cultivated at the optimal solution? Do the Collins use the entire 100 acre allotment?
Business analytics can provide a significant benefit to organizations. If the organization utilizes business analytics and analyzes the data correctly, they will be able to make informed decisions that will benefit the organization in many ways.
What is the minimum cost assignment when each worker can do two jobs? Provide both the formulation and the Excel solution. What is the minimum cost assignment to do any three jobs when each worker can do only one job? Provide both the formulation a..
How realistic is this alternative power source for your community? How will people in your community respond to energy conversion? Will they support it or be against it? Give reasons.
Formulate a linear programming model of the problem. Describe the optimal solution within the context of the problem.
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