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1. In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
Find matrices A, B, C, and X such that the maximization problem
Maximize z = 3x1 + 2x2 + x3
subject to: 2x1 + x2 + x3 < 150
2x1 + 2x2 + 8x3 < 200
2x1 + 3x2 + x3 < 320
with x1 > 0, x2 > 0, x3 > 0.
can be written as
Maximize CX
subject to: AX < B
with X > 0.
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
Discuss the factors which might cause variation
Find the constant of variation and write an equation of direct variation -
Prove using mathematical induction.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
The average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Determine the exact value of cos (α - β)- terminal side in the second quadrant
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Find the equation of the line drawn between two points - Write the equation of the line with slop -2 and passing through the point (4, -3).
Find the estimated regression equation
Probability that a player's pick wins the grand prize. In a certain lottery, k balls are chosen at random and without replacement from a bin containing N balls numbered 1 through N
How many different 4-card hands are possible? How many different 4-card hands contain a number less than 7?
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