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An in-depth analysis of linear programming, its applications, and its role in inventory management. It covers topics such as objective functions, feasible regions, decision variables, constraints, carrying costs, and planned inventory shortages. The document also discusses the key assumptions underlying a network diagram, the main distinguishing factor of beta estimation for time duration, and the use of subjective reasoning in decision making. It further explains the advantages of using linear programming and closed-ended questions, and provides examples of linear programming problems in business and economics.
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In a linear programming graph, which of the following describes the area that satisfies all of the constraints? Possible solution Feasible region Objective function Cost minimization region - ✔Feasible region Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make a couch and 15 to make a chair. Couches sell for $800 and chairs for $350. The selling price would be part of which element? Objective Decision Variable Constraint - ✔Objective Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make a couch and 15 to make a chair. Couches sell for $800 and chairs for $350. State the mathematical representation to show that the total number of linear feet of wood for both couches (X) and chairs (Y) cannot exceed 5,000. a. 60X + 35Y >= 5,00060X + 35Y >= 5, b. 35X + 60Y = 5,00035X + 60Y = 5, c. 60X + 35Y <= 5,00060X + 35Y <= 5,000 - ✔This adds 60 linear feet for each couch made to 35 linear feet for each chair made to arrive at total linear feet that cannot be exceeded c. 60X + 35Y <= 5,00060X + 35Y <= 5, Acme Corp. makes couches and chairs using three main components: wood, foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a chair. It takes 30 hours of labor to make a couch and 15 to make a chair. Couches sell for $800 and chairs for $350. State the mathematical representation to show that the company must make at least 20 chairs to fill backorders.
Y <= 20 - ✔= is not appropriate < is making less than required Therefore the correct answer is: Y >= 20Y Which of the following is the most important and primary step in setting up a linear programming problem? a. Determine the feasible region. b. Define the problem. c. Establish the constraints. - ✔b. Define the problem. Which of the following is the term used for the outcome decision to be made that is governed by the constraints? Bounded region Objective function Center point - ✔Objective function The cells listed in the By Changing Cells in the Solver window are referring to which of the following? Constraints Decision variables Objective function - ✔Decision variables Which of the following inventory costs would be a carrying cost? a. Utilities for the warehouse. b. Sending in a purchase order. c. Inspecting incoming inventory. - ✔a. Utilities for the warehouse. A __________ has the following characteristics:
sqrt 2960075/16= An appliance distributor expects to sell about 9,600 refrigerators next year. The annual carrying cost is $16 per refrigerator, and the ordering cost is $75. The distributor operates 280 days a year. If the EOQ is 225, what is the length in workdays of an order cycle? 40 32 7 - ✔Divide the annual demand by the EOQ to determine the number of orders. Because there are 280 workdays in a year, divide the number of workdays by the number of orders. = 280/ Answer is 7 An automotive equipment manufacture uses about 3,200 armatures a year in production. Annual carrying cost is $4 per armature, and the ordering cost is $100. They operate 240 days a year. What is the economic order quantity? 400 31 320 - ✔sqrt the whole probelm then 23200100/4= 400 An automotive equipment manufacture uses about 3,200 armatures a year in production. They operate 240 days a year and will be ordering 10 times a year. What is the number of workdays in an order cycle? 24 320 8 - ✔To calculate the number of workdays in an order cycle divide the number of workdays by the number of orders placed. 240/10 = 24 24 An automotive equipment manufacturer uses 300 armatures a day in production. Delivery of the armatures takes 7 days. What is the reorder point for the armatures? 7 300 2100 - ✔The formula would be = 300 * 7. To determine the reorder point, multiply the daily demand by the number of days between ordering and receiving the items.
A baker buys sugar in 25-pound bags. The bakery uses 1,215 bag a year, and ordering costs are $10 per order. It costs $75 to hold this in inventory for the year. How many orders will have to be made over the year. 18 / 1, 1,215 / 75 1215 / 18 - ✔The formula is D/Q = 1,215 / 18 Where: D = Demand Q = economic order quantity 1215 / 18 Network diagrams are visual tools used to do what? a. Plan complex projects b. Schedule complex project c. Control complex projects d. All of the above - ✔All of the above Which of the following is a key assumption underlying a network diagram? a. An activity can begin only after all successors have been completed. b. An activity can begin only after all predecessors have been completed. c. A network diagram is cyclical. - ✔b. An activity can begin only after all predecessors have been completed. What is the key purpose behind using the beta distribution technique to estimate task times? To ensure the costs are budgeted To provide a method that specified the costs To provide a faster way to make the estimate To provide a more accurate method - ✔To provide a more accurate method
a. When the human resources officer will be one of the decision-makers for the problem being evaluated b. When the problem being evaluated has little financial impact, usually less than $ million c. When no information system is involved in the process d. When the problem being evaluated lacks the presence of objective, valid, reliable, and measurable data to use for the analysis - ✔d. When the problem being evaluated lacks the presence of objective, valid, reliable, and measurable data to use for the analysis What would be the best application of quantitative analysis for the situations below? a. A marketing director wants to determine the average household income of the company's key customers. b. A chef wants to determine the best method of food presentation for a new recipe for a very discerning customer. c. A professional photographer wants to determine the most romantic location to take pictures of a wedding entourage. d. A florist wants to determine the best arrangement for flowers for a very important client. - ✔a. A marketing director wants to determine the average household income of the company's key customers. Which of the following are some primary influencing factors involving subjective reasoning on a topic? a. The latest data from the FBI b. Computer technology c. Business forecasts d. Upbringing and past employment - ✔d. Upbringing and past employment When arguing using subjective reasoning, on which of the following will the argument most likely be based? a. Using diagrams to understand b. Eyewitness accounts c. A person's past personal experiences d. Credentials in field of expertise - ✔c. A person's past personal experiences
In defining a cause and effect relationship, the variable that drives some change in another variable is called what? a. Independent variable b. Dependent variable c. Mediating variable d. Moderating variable - ✔a. Independent variable In defining a cause and effect relationship, the variable that is changed as a result of the action of some other variable is called what? a. Independent variable b. Dependent variable c. Mediating variable d. Moderating variable - ✔b. Dependent variable Which of the following would be a factor that makes a problem complex or multifaceted? a. A problem involving technology b. A problem with a specific deadline c. One involving students at a college d. One involving a large business's IT servers competing time constraints - ✔d. One involving a large business's IT servers competing time constraints If there is a linear relationship between variables, we can say they are correlated. Determining that variables are correlated is very important; however, to draw specific conclusions about the cause and effect relationship will take additional advanced analytical techniques to further test the relationship in order to exclude other contributory factors that could have caused the change. When we have established a positive relationship between two variables, what can we conclude? a. There is an association between the variables but not proof that a change in one causes a change in the other. b. The answer cannot be determined from this question without knowing what the metrics are. c. That there will always be the same amount of change in the dependent variable based on the independent variable. d. This proves that one variable causes the change in another variable because it is positive. - ✔a. There is an association between the variables but not proof that a change in one causes a change in the other.
In determining relationships between cause and effect, what does it mean if one variable increases as the other variable also increase? a. That the change will be identical throughout the data range b. Proof that one variable caused all of the change in another variable c. That there is a negative correlation between the variables d. That there is a positive correlation between the variables - ✔d. That there is a positive correlation between the variables In studying cause and effect relationships, what can we say when there is a positive relationship between the variables? a. When the independent variable increases, the dependent variable will increase at a proportionate rate. b. The data represent a positive increase in assets from a company's point of view. c. There is never a decrease in the path of the independent variable; it only continues upward. d. There will always be an increase of one unit up in one variable in response to one unit up in the other variable. - ✔a. When the independent variable increases, the dependent variable will increase at a proportionate rate. What is a key difficulty associated with using an open-ended questions? a. The answers are always too long because of their detail. b. The answers may not address the researcher's key question. c. The questions can only be asked in face-to-face interviews. d. The responses never provide the answer you want. - ✔b. The answers may not address the researcher's key question. When faced with a complex problem to optimize a business function (i.e., cost minimization or sales maximization), the first step in linear programming is: a. Assemble the data. b. Establish a financial goal. c. Define the problem in terms of the objective. - ✔Define the problem in terms of the objective.
What is one of the key and unique elements of linear programming where there are only two decision variables (x,y)? a. The answer is optimal some of the time. b. The answer can be a negative value. c. Only a computer program can solve a linear programming problem. d. All constraints associated with the problem are converted to linear form (straight lines). - ✔d. All constraints associated with the problem are converted to linear form (straight lines). Under what circumstances might a researcher want to use closed-ended questions and not open-ended questions? a. When the researcher is looking to shorten what is written, making the researcher's job easier b. When the researcher lacks a fundamental understanding of the situation c. When the researcher knows the reasonable field of alternative answers d. When the researcher needs a two-way dialogue - ✔c. When the researcher knows the reasonable field of alternative answers There are several advantages to using closed-ended questions, saving time is one. How is this possible? a. The questions cannot be as easily categorized as open-ended questions can. b. The questions are usually much shorter in wording. c. The questions limit the range of possible answers available. d. The questions can be put in a better logical order than open-ended questions can. - ✔c. The questions limit the range of possible answers available. A quantitative analysis can benefit by a researcher incorporating closed-ended questions to gain specific information. Research questions would be considered closed when the respondent can only select a specific answer. By using closed-ended questions, the researcher can ensure data validity and consistency. It is common for researchers to qualify their survey questions beforehand by validating that the responses will be closed ended.
Using the qualified closed-ended questions will then help ensure that the actual responses from the universe of respondents will be credible and consistent. How is this possible? a. The responses can be limited to three by the researcher beforehand to limit confusion. b. The responses can be limited to the shortest possible length to prevent difficulty. c. The questions and responses can be qualified or validated by the researcher beforehand. d. The researcher can easily put the responses in the order of likely expected answers.
c. Linear programming functions best for problems involving industrial costs only. d. Linear programming can be used to analyze a variety of economic, social, and business problems. - ✔d. Linear programming can be used to analyze a variety of economic, social, and business problems. There is a 30% chance of a contracting economy (a recession) during the first 3 years after completion of the new plant. Which scenario is this an example of? Decision Point Expected Payoff State-of-Nature - ✔State-of-Nature Which of the following scenarios would be LEAST likely to benefit from using linear programming? a. An airline is deciding how many tickets to sell at each price. b. A restaurant wants to decide how many of each entree to prepare using the products they have on hand. c. A factory is deciding which product the public would prefer. d. A production factory is deciding the most efficient way to get products from the factory to the warehouse. - ✔c. A factory is deciding which product the public would prefer. There is a 85% chance of rain during the construction of the roof on a new house. This is an example of what? Decision point Probability State-of-nature Expected payoff - ✔Probability - This is an example of a probability, which is a specific number that represents the likelihood of an occurrence of some state-of-nature. Linear programming (LP) can solve a variety of problems in the areas of business and economics. An example of an application of LP: a. Determining the training needs of a sales force. b. Determining the best salesperson to use to close a critical sale. c. Determining customer satisfaction levels from a survey.
d. Determining the most profitable mix of three products a company can make given different cost and profit levels. - ✔d. Determining the most profitable mix of three products a company can make given different cost and profit levels. A manufacturing firm is considering building either a large or small plant in another state. This is an example of what? Expected payoff Probability State-of-nature Decision point - ✔Decision point - This is an example of a decision point, which is a point at which a determination is made to move down one specific path among several alternative paths. Roger is starting his last year of college and is on a very tight budget. He wants to write out a budget for a major expense, his dinner menu. He knows he needs a certain amount of carbohydrates, vitamins, and proteins every day; this is the nutritional value. His favorite foods are steak and potatoes, and by weight the steak is three times as expensive as the potatoes. What type of LP problem is this? a. Capacity of the nutritional value of the carbohydrates, vitamins, and proteins. b. Profit maximizing subject to a minimal nutritional value of the carbohydrates, vitamins, and proteins. c. Cost minimizing subject to a minimal nutritional value of the carbohydrates, vitamins, and proteins. d. Cost avoiding subject to a minimal nutritional value of the of the carbohydrates, vitamins, and proteins. - ✔c. Cost minimizing subject to a minimal nutritional value of the carbohydrates, vitamins, and proteins. Which of the following represents an application of LP? a. Determining the best insurance policy to buy to cover a firm's inventory. b.Determining the safest car based on crash tests. c. Determining the most profitable inventory to keep in stock given different cost and profit levels. d. Determining the closest route for a truck to take to make a delivery. - ✔c. Determining the most profitable inventory to keep in stock given different cost and profit levels. Frank purchased 100 acres of farmland. He will use linear programming to determine how many acres of corn to plant and how many acres should be peas in order to
d. At the beginning of the data collection phase - ✔c. At the beginning before the decision is made When a business is confronted with different types of numbers representing a business process, how can quantitative analysis be used? a. Quantitative analysis relies on financial data, which are the best for analysis. b. Quantitative analysis is used to audit financial data for accuracy and reliability. c. Quantitative analysis cannot be used because financial data are not part of quantitative analysis. d. Quantitative analysis can make sense of the various numbers using the best technique. - ✔d. Quantitative analysis can make sense of the various numbers using the best technique.