Table 10-3 a Company Has Decided to Use 0−1 Integer Programming to Programming

question 74

Multiple Choice

Table 10-3
A company has decided to use 0−1 integer programming to help make some investment decisions.There are three possible investment alternatives from which to choose,but if it is decided that a particular alternative is to be selected,the entire cost of that alternative will be incurred (i.e. ,it is impossible to build one-half of a factory) .The integer programming model is as follows:
Maximize 5000 X₁ + 7000X₂ + 9000X₃
Subject to: X₁ + X₂ + X₃ ≤ 2 Constraint 1
-X₁ + X₂ ≤ 0 Constraint 2
25,000 X₁ + 32,000 X₂ + 29,000 X₃ ≤ 62,000 (budget limit)
16 X₁ + 14 X₂ + 19 X₃ ≤ 36 (resource limitation)
all variables = 0 or 1
where X₁ = 1 if alternative 1 is selected,0 otherwise
X₂ = 1 if alternative 2 is selected,0 otherwise
X₃ = 1 if alternative 3 is selected,0 otherwise
Solution x₁ = 1,x₂ = 0,x₃ = 1,objective value = 14,000.
-Table 10-3 presents an integer programming problem.Suppose you wish to add a constraint that stipulates that both alternative 2 and alternative 3 must be selected,or neither can be selected.How would this constraint be written?

• A)X₂ = X₃
• B)X₂ ≤ X₃
• C)X₂ ≥ X₃
• D)X₂ + X₃ = 1
• E)None of the above

Recognize the tax implications and characteristics of preferred versus common stock under the U.S. tax code.

Calculate the value of stocks using different models and the expected return of investment in specific scenarios.

Identify and explain the benefits and mechanisms of preemptive rights in stock ownership.

Distinguish between different investment analysis approaches (technical versus fundamental analysis) and their applications in investment decisions.

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A group of genetic disorders characterized by little or no production of the pigment melanin, affecting the color of the skin, hair, and eyes.

Human Karyotype

is the complete set of all the chromosomes in a human cell, typically presented as 23 pairs including one pair of sex chromosomes.

Autosomes

Chromosomes that are not directly involved in determining a person's sex; these are present in pairs in both males and females.

Gene Targeting

A genetic technique that uses homologous recombination to modify the DNA of a gene to study its function or create a desired mutation.