Question

Why do businesses use sequences and series?

a. To complicate production processes
b. To simplify project planning
c. To confuse employees
d. To increase resource wastage

Answer 1

Businesses use sequences and series to simplify project planning, forecast trends, and optimize operations, aligning with scientific management goals and the efficient use of resources, as opposed to potential wastage.

Step-by-step explanation:

Businesses utilize sequences and series primarily to simplify project planning. Unlike options such as complicating production processes, confusing employees, or increasing resource wastage, sequences and series help in efficient project management and resource allocation. They are used to calculate costs over time, forecast possible trends in sales or production needs, or determine the best order of operations to reduce downtime and excess resource consumption. For example, in project planning, a geometric sequence might be used to estimate the total cost of materials if the cost is known to increase by a certain percentage each period.

Regarding scientific management, the goal was to increase workers' efficiency, which aligns with the idea of optimization found in the use of sequences and series. Energy transmission processes also aim to reduce energy loss during transmission, highlighting a common objective of optimizing resources, which is a core principle in business operations. Likewise, one of the intended positive aspects of bureaucracies is increased productivity and efficiency, further emphasizing the need for organized and systematic approaches such as those provided by sequences and series.

Answer 2

Businesses apply sequences and series to simplify project planning, efficiently manage resources, and improve production scheduling. They are strategic tools that align with objectives like scientific management, which aims to boost worker efficiency.

Step-by-step explanation:

Businesses utilize sequences and series for various significant reasons. The core reason for using sequences and series in business contexts is b. To simplify project planning. This mathematical concept helps businesses to efficiently manage and allocate resources, anticipate costs over time, forecast sales, and plan inventories. For example, a retailer can use a geometric series to predict inventory needs based on the growth rate of sales, or an auto manufacturer might use an arithmetic sequence to plan the production schedule for a new model release.

Considering the review questions, the goal of scientific management was a. to increase workers' efficiency, aiming for increased productivity in the work setting. Likewise, reducing energy loss during transmission and increasing efficiency of bureaucratic structures are strategic objectives in business and organizational operations.