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An investor is considering three types of investment: high risk venture into oil leases with potential return of 15 percent, a medium risk investment in bonds with a 9 percent return, and a relatively safe stock investment in oil lease and stocks to 50 percent. How much should he invest in each to maximize his return? Assume the investment returns are as expected.
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many udges the city needs.
The function f is differentiable on the interval [-1,1]. The table shows the values of f' for selected values of x. Sketch the graph of f, approximate the critical numbers, and identify the relative extrema.
a football falls from peak height of 23m to a final height of 1.3 m where it is caught. what is the final vertical velocity of the ball at the instant it is caught.
Find the distance of the ship from the lighthouse.
Find the ninety-five percent confidence interval for the standard deviation of the ounces of coffee that a machine dispenses in 12-oiince cups. Suppose the variable & normally distributed.
Description of Joint probability, However in this problem what do I do with 2X in my upper y limit, can I plug in the max x value and just make it 0
using eight planning periods of three months duration each. Should any of the variables restricted to be integer?
An investor invested a total of $2,500 in two mutual funds. One fund earned a 4% profit while the other earned a 25 profit. If the investor's total profit was $78, how much was invested in each mutual fund?
In any group G, some of the elements of G commute with all of the other elements in G. The set of all such elements in G is called the centre of G, and is denoted by Z(G).
In one room of the science fair were six projects, and each project was entered by a pair of students. During the fair, some of the students visited other projects in the room and shook hands with some of the other project entrants.
The lifetimes of two car batteries (Brand A and B) are independent exponential random variables with means 12 hours and 10 hours, respectively.
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