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1. Assume you work for an oil company that deals with oil contracts and you are responsible for constructing those oil contracts. Assume you have an oil contract that has the following characteristics: Zero initial cost and the buyer pays S - F each quarter with a cap of $21.90 - F and a ?oor of $19.90 - F. If oil volatility is 15%, calculate F.
A bank has received a request from its client for a forward quote on USD/AUD, the current spot rate is 1.1647. Assuming the 3 month USA benchmark rate is 0.24% and in Australia is 2.0%, calculate the forward swap point.
Simple differential equation modelling the smoke layer depth (y) in a large atrium provided with dynamic smoke extraction system.
What is the 95% confidence interval for the difference in the mean HDL levels between men who exercise regularly and those who do not?
Plot the number of simplex iterations (y) versus the number of constraints (m). Save your plot as a picture file, and upload it in your discussion thread.
Contrast this viewpoint with the attitude of the owner or a small subset of this fleet who is interested in optimizing the performance of his available ships.
Separation of variables to solve the heat equation problem with inhomogeneous boundary conditions and evaluate your series solution in order to plot the temperature profile at a few fixed values of time.
Formulate an ILP problem to determine which sites should be selected so as to provide convenient service to all locations in the least costly manner. Implement your model in a spreadsheet and solve it. What is the optimal solution?
Globex Investment Capital Corporation owns six companies that have the following estimated returns if sold in one of the next 3 years: Formulate an integer programming model for this problem and solve it by using the computer.
Apply the graph obtained in part (c) to estimate visually the Fahrenheit temperature corresponding to a Celsius temperature of 28o. Then calculate that temperature exactly by using the linear equation y = 32 + 1.8x.
Assume you are a member of the Family Research Council and have become increasingly concerned about the drug use by professional sports players.
Formulate a linear programming model that can be used to determine the floor space that should be devoted to each department in order to maximize profit contribution.
Develop and solve a linear optimization model to determine the optimal mix to maximize profit and write a short memo to the president Kathy Chung explaining the sensitivity information in language that she can understand.
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