Match the Function with the Graph That Best Describes the Situation

question 40

Multiple Choice

Match the function with the graph that best describes the situation.
-A steel can in the shape of a right circular cylinder must be designed to hold 550 cubic centimeters of juice (see figure) . It can be shown that the total surface area of the can (including the ends) is given by S(r) $$S ( r ) = 2 \pi r ^ { 2 } + \frac { 1,100 } { r }$$ where r is the radius of the can in centimeters. Using the TABLE feature of a graphing utility, find the radius
That minimizes the surface area (and thus the cost) of the can. Round to the nearest tenth of a centimeter.

• A) 0 cm
• B) 5.6 cm
• C) 4.4 cm
• D) 3.6 cm

Calculate the minimum acceptable price for selling or purchasing products based on relevant costs.

Evaluate the profitability of using existing resources versus obtaining new resources.

Understand the role of sunk costs, opportunity costs, and avoidable costs in financial decision-making.

Determine the optimal product mix in situations of limited resources using contribution margin analysis.

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Definitions:

Demand Schedule

A schedule of quantities of a good or service that people are willing to buy at different prices.

Secondary Labor Market

Employment sectors characterized by lower pay, less job security, and fewer benefits, often including part-time or temporary jobs.

Primary Labor Market

Refers to high-wage sectors of the economy that offer stable employment, good benefits, and opportunities for advancement.

Non-Competing Groups

Refers to segments of the labor market where workers do not directly compete with each other due to differences in skills, qualifications, or other barriers to mobility.