You decide to invest in a portfolio consisting of 40 percent Stock A, 30 percent Stock B, and the remainder in Stock C. Based on the following information, what is the expected return of your portfolio? Probability of State Return if State Stock
State of Economy of Economy Stock A Stock B Stock C
Recession -20 -18.2% 3.6% -22.5%
Normal -51 10.8% 8.2% 16.8%
Boom -29 28.0% 15.5% 31.4%
a. 11.14%.
b. 13.73%.
c. 12.59%.
d. 71.62%.
e. 10.65%.

Suppose that: 1. malaysia requires 1 hour of labor to produce 1 pound of rice and 2 hours of labor to produce 1 pencil; 2. indonesia requires 2 hours of labor to produce 1 pound of rice and 4 hours of labor to produce 1 pencil; 3. each country has 10,000 hours of labor to allocate between the production of rice and pencils; and 4. in autarky, malaysia consumes 5,000 pounds of rice and 2,500 pencils. which country has an absolute advantage in rice production? in pencil production? which country has a comparative advantage in rice production? in pencil production? will trade between the two countries be mutually beneficial?

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Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.