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AntiFam, a hunger-relief organization has earmarked between $2 and $2.5 million (inclusive) for aid to two African countries, country A and country B. Country A is to receive between $1 and 1.5 million (inclusive) and country B is to receive at least $0.75 million. It has been estimated that each dollar spent in country A will yield an effective return of $.60, where a dollar spent in country B will yield an effective return of $.80. How should the aid be allocated if the money is to be utilized most effectively according to the these criteria.
If x and y denote the amount of money to be given to country A and country B, respectively, then the objective function to be maximized is P=.6x +.8y.
a. Identify your variables.
b. Set up the objective and constraints.
c. Graph the feasible region.
d. Determine the corner points. Show the algebra if solving for the intersection of lines.
e. Determine the optimal solution and report you results in terms of the names of the variables.
Find the value of a which makes E[e2n+1] as small as possible and find the resulting value of the mean square error, E[e2n+1] How does this compare with the power in the original process E[X2n].
An air-standard Diesel cycle has a compression ratio of 18.2. Air is at 80°F and 14.7 psia at the beginning of the compression process and at 3000 R at the end of the heat addition process. Accounting for the variation of specific heats with tempe..
Explain what each of the following mathematical statements mean in regard to the graph of f(x).With your explanation, include a DIAGRAM for each part.
How many hours per day should each company operate to produce the required amounts of baseballs and cletes while minimizing the cost of production? What's the minimum production cost?
Calculate the mean, median, mode, variance, standard deviation and skewness.
Determine the average amount of time that a guest spends checking in. How would this change under each of the state options? Which option do you recommend?
A slab of ice floats on a freshwater lake. What minimum volume must the slab have for a 45.0-kg woman to be able to stand on it without getting her feet wet?
1. A research study performed at checkout lines at Publix Supermarket in South Florida revealed that between 4pm and 7pm on weekdays there is an average of 4 customers waiting in line. What is the probability that you visit a Publix today during t..
1.) My computer program offers two types of t-tests. One is a called independent groups ttest, and the other is called dependent groups t-test. When should I use which one? 2.) How does a one-tail test compare with a two-tail test for determining t..
Consider two-dimensional potential flow into a step contraction as in Fig. The inlet velocity U1 = 7 m/s, and the outlet velocity U2 is uniform. The nodes (i, j) are labelled in the figure. Set up the complete finite-difference algebraic relation ..
For the 20°C water flow of Fig, use the pitot-static arrangement to estimate (a) the centerline velocity and (b) the volume flow in the 5-indiameter smooth pipe. (c) What error in flow rate is caused by neglecting the 1-ft elevation difference?
Problem: For each of the circuits shown below, find the output voltage. Draw the waveform and show all voltage values. All diodes are silicon with a voltage drop of 0.7 volts unless otherwise stated.
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