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Suppose we have a forward contract with one year expiry with the additional property that either party can cancel the contract after six months. How much will this contract be worth?
Formulate as a nonlinear program. Apply four iterations of the Frank-Wolfe algorithm; graphically identify the optimal point, using the property that even- and odd-numbered points lie on lines directly toward the optimum.
The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit.
Using the data provided inTable 8-5 in your textbook, determine the production frontiers for the Durham Health Clinic. Which station should be expanded to increase the overall capacity of the clinic, and why?
Use the minimum/maximum regret method to determine the optimal location. Suppose the p(s1)=0.60, p(s2)=0.10 and p(s3)=0.30 Use the expected value method to determine the optimal location.
Explain the connection between reduced costs and the range of optimality, and between dual prices and the range of feasibility.
Consider an iron bar, of diameter 4cm and length 1m, with specific heat c = 0.437 J/(g K), density ρ = 7.88 g/cm3, and thermal conductivity κ = 0.836 W/(cm K). Compute the temperature (accurate to 3 digits) at the midpoint of the bar after 20 minutes
Atmospheric air at 25°C and a velocity of 0.5 m/s flows over a 50- W incandescent bulb whose surface temperature is at 140°C. The bulb may be approximated as a sphere of 50-mm diameter. What is the rate of heat loss by convection to the air?
Suppose f(x) is an invertible differentiable function and the graph of f passes through the points (4, 2) and (2, 4). The slope of the tangent line to the graph of f at x = 2 is 5/8
If interest rates increase how will the forward price of an asset change? How will the value of a forward contract change?
Formulate an LP model to yield the optimum production plan.
Generate a 95% confidence interval for the proportion of patients on the new medication who report pain relief. Generate a 95% confidence interval for the difference in proportions of patients who report pain relief.
Problem 1: For the beam below, determine the moment of inertia Ix' about the centroidal x' axis.
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