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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?
a. Find parametric equation for the tangent line to C at the point (1, 0, 1) b. Find an equation for the osculating plane of C at the point (1, 0, 1).
Suppose f: X → X is a continuous bijection. Prove or disprove: f is a homeomorphism. Show that R2\ {0} is homeomorphic to R × S1
Compute the test statistic. The null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test. What do you conclude?
(a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Obtain an optimal solution.
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.
If SMM wants to have at least 5 ads per day, but spend no more than $50,000 on Friday and no more than $75,000 on Saturday, formulate a linear program to help SMM decide how the company should advertise over the weekend.
Theater policy requires that once a movie is started it must be shown in consecutive weeks. It can not be stopped and restarted again. To represent the schedule possibilities for each movie, the following decision variables were developed:
The triangle has the angles 45,45,90 with a base of length a. The dipole is located at the right base corner pointing in the -x direction.
Perform the F-test and comment on the overall usefulness of the model Perform t-test for the statistical significance of individual coefficients.
Find a recurrence relation for the number of ways to form postage of n cents with these stamps if the order that the stamps are used matters. What are the initial conditions for this recurrence relation?
How many bushels of each crop should be used in each type of feed mix in order to produce sufficient food for the livestock at minimal cost?
In multiple regression analysis, explain why the typical hypothesis that analysts want to test is whether a particular regression coefficient (B) is equal to zero (H0: B = 0) versus whether that coefficient is not equal to zero (H1: B ≠ 0).
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