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An orbital manned scientific lab is placed on an eccentric elliptical orbit described by x2+5y2+x+3y = 10, the reference system (x, y) being the center of the earth. All radio communications with the ground stations are going to be monitored via a satellite that will be fixed with respect to the reference system. The power required to communicate between the satellite and the lab is proportional to the square of the distance between the two.
Assuming that the satellite will be positioned in the plane of the ellipse, what should be the position of the satellite so that the maximum power required for transmissions between the lab and the satellite can be minimized? Formulate as a nonlinear program.
Formulate a linear programming problem to minimize total cost for this transportation problem. Solve the linear programming formulation from part (a) by using either Excel or QM for Windows. Find and interpret the optimal solution and optimal value..
Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than 0 using the probability of type 1 error equal to 0,05 and determine the two-sided 95% and 99% confidence intervals. the simple regression m..
It conducts a telephone poll of 300 randomly selected households in the area and finds that 100 have dvd players. state the p-vaule of the test.
Use the definition of the derivative to determine the derivatives of the following functions.
1. A retail store manager with Petrie Stores, Inc, wants to develop a multiple regression model to predict the amount of sales of a product per month Y from monthly advertising expenditures X1 and whether the month was December (coded 1) or anothe..
Consider a regression situation in which y = hardness of molded plastic and x = amount of time elapsed since termination of the molding process. Summary quantities included the following.
Construct a program where inputs: the coefficients (a1, a2, a3, a4, a6) of an elliptic curve E : y 2 + a1xy + a3y = x 3 + a2x 2 + a4x + a6 and an integer n. The output Δ (discriminant of E) mod n and the j invariant of E mod n.
Your optimal solution should indicate that no amount of feed f2 should be pur- chased and fed to the farmer's cows. By how much should feed f2's current price of $0.50 per pound decrease in order for the optimal solution to change?
A company is planning its advertising strategy for next year for its three major products. Since the three products are quite different, each advertising effort will focus on a single product.
You have been recently employed as the director of operations of a hotel. The hotel is in a relatively large city with many other comparable hotels in its vicinity. As part of your job, your responsibilities include:
The costs to transport goods between outlets is listed below. What is the minimum cost and associated routing to ship from A to B and E on the same delivery run?
The panel box supplies 120 volts. The electrician is using No. 12 solid copper-coated wire. What is the approximate voltage delivered to the saw? And what is the approximate voltage drop from the house to garage if No. 10 gage solid copper-coated ..
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