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QUESTION 86
An audit manager has just returned from an executive training program and has suggested that the audit department develop a mathematical model to help identify factors that may be causing changes in the cost of production. According to the manager, the model should recognize that the company currently has three separate production (cost) centers. Which of the following approaches would best provide the analysis suggested by the audit manager?
A. Develop a classical variables sampling estimate of cost of production per department, with the sample stratified by the dollar value of each product produced.
B. Develop a 3-year ratio analysis of the cost of production compared to the cost of raw inventory across the three departments.
C. Develop a multiple regression analysis of production costs, including such variables as raw material inventory costs, number of employees in the department, and overtime pay.
D. Develop a linear regression analysis relating the cost of production to the cost of goods sold.
70-761 exam Correct Answer: C
Explanation
Explanation/Reference:
Explanation:
Regression analysis extends correlation to find an equation for the linear relationship among variables. The behavior of a dependent variable, such as cost of production, is explained in terms of one or more independent variables (for example, raw material costs, employees, overtime). Thus, multiple regression analysis determines functional relationships among quantitative variables.
QUESTION 87
A bank has two drive-in lanes to serve customers: The technique used in analyzing the problem is best described as:
A. Simulation theory.
B. Integrated autoregressive-moving average (ARIMA) modeling.
C. Linear programming.
D. Differential calculus.
Correct Answer: A
Explanation
Explanation/Reference:
Explanation:
Answer (A) is correct. Simulation is a technique for experimenting with logical/mathematical models using a computer. Despite the power of mathematics, many
problems cannot be solved by known analytical methods because of the behavior of the variables and the complexity of their interactions. However, the performance of a quantitative model under uncertainty may be investigated by randomly selecting values for each of the variables in the model (based on the probability distribution of each variable) and then calculating the value of the solution. If this process is performed a large number of times, the distribution of results from the model will be obtained.
QUESTION 88
A bank has two drive-in lanes to serve customers:
The process of making sure that the model measures what it is supposed to measure is called:
A. Statistical inference.
B. Hypothesis testing.
C. Confidence coefficient analysis.
D. Validation.
70-761 dumps Correct Answer: D
Explanation
Explanation/Reference:
Explanation:
Validation is a step in the simulation procedure. Some assurance is needed that the results of the experiment will be realistic. This assurance requires validation of the model –often using historical data. If the model gives results equivalent to what actually happened, the model is historically valid. There is still some risk, however, that changes could make the model invalid for the future.
QUESTION 89
The marketing department of a company is deciding on the price to charge for a key product. In setting this price, marketing needs to consider the price that a major competitor will charge for a similar product because the competitor’s price will affect the demand for the company’s product. Similarly, in setting its price, the competitor will consider what the company will charge. What is an appropriate mathematical technique for analyzing such a decision?
A. Game theory.
B. Probability theory.
C. Linear programming.
D. Sensitivity analysis.
Correct Answer: A
Explanation
Explanation/Reference:
Explanation:
Game (or decision) theory is a mathematical approach to decision making when confronted with an enemy or competitor. Games are classified according to the number of players and the algebraic sum of the payoffs. In a two-person game, if the payoff is given by the loser to the winner, the algebraic sum is zero and the game is called a zero-sum game. If it is possible for both players to profit, however, the game is a positive-sum game. Mathematical models have been developed to select optimal strategies for certain simple games.
QUESTION 90
Because of the large number of factors that could affect the demand for its new product, interactions among these factors, and the probabilities associated with different values of these factors, the marketing department would like to develop a computerized model for projecting demand for this product. By using a random number procedure to generate values for the different factors .it will be able to estimate the distribution of demand for this new product. This method of estimating the distribution of demand for the new product is called:
A. Monte Carlo simulation.
B. Linear programming.
C. Correlation analysis.
D. Differential analysis.
70-761 pdf Correct Answer: A
Explanation
Explanation/Reference:
Explanation:
Simulations that use a random-number procedure to generate values for the inputs areMonte Carlo simulations.
QUESTION 91
A large fishing operation has information on the interval, time, and probabilities of shrimp schools staying beneath their fishing boats. In order to use this information to predict when and where to send their boats, which of the following techniques should be used?
A. Simulation.
B. Least squares.
C. Queuing theory.
D. Exponential smoothing.
Correct Answer: A
Explanation
Explanation/Reference:
Explanation:
Simulation is a technique for experimenting with logical and mathematical models using a computer. Because of the behavior of the many variables involved and the complexity of their interactions, many problems cannot be solved using simple algebraic formulas. The availability of computer spreadsheets makes the construction of simulation models a practical alternative for all entities.
QUESTION 92
A cost-volume-profit model developed in a dynamic environment determined that the estimated parameters used may vary between limits. Subsequent testing of
the model with respect to all possible values of the estimated parameters is termed:
A. A sensitivity analysis.
B. Statistical estimation.
C. Statistical hypothesis testing.
D. A time-series study.
70-761 vce Correct Answer: A
Explanation
Explanation/Reference:
Explanation:
After a problem has been formulated into any mathematical model, it may be subjected to sensitivity analysis. Sensitivity analysis examines how the model’s
outcomes change as the parameters change.
QUESTION 93
A company is deciding whether to purchase an automated machine to manufacture one of its products. Expected net cash flows from this decision depend on several factors, interactions among those factors, and the probabilities associated with different levels of those factors. The method that the company should use to evaluate the distribution of net cash flows from this decision and changes in net cash flows resulting from changes in levels of various factors is:
A. Simulation and sensitivity analysis.
B. Linear programming.
C. Correlation analysis.
D. Differential analysis.
Correct Answer: A
Explanation
Explanation/Reference:
Explanation:
Simulation is a technique for experimenting with logical and mathematical models using a computer. Sensitivity analysis examines how the model’s outcomes change as the parameters change.

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