Suppose a Ball Manufacturer Produces Soccer Balls, Footballs, and Volleyballs

question 42

Multiple Choice

Suppose a ball manufacturer produces soccer balls, footballs, and volleyballs. The manager feels that restricting the types of balls produced could increase revenue. The following table gives the price of each ball, the raw materials cost, and the profit on each ball. The monthly profit must be at least $40,000, and the raw materials costs must be no more than $50,000. How many of each type of ball should be produced to maximize the revenue? What is the maximum revenue?

• A)The maximum revenue is $100,000 when 5,000 volleyballs and no footballs or soccer balls are produced.
• B)The maximum revenue is $137,500 when 5,500 soccer balls and no footballs or volleyballs are produced.
• C)The maximum revenue is $165,000 when 5,500 footballs and no soccer balls or volleyballs are produced.
• D)The maximum revenue is $150,000 when 5,000 footballs and no soccer balls or volleyballs are produced.
• E)The maximum revenue is $125,000 when 5,000 soccer balls and no footballs or volleyballs are produced.

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Definitions:

Southern Democrats

A political faction that represented the interests of the southern states in the United States, historically advocating for states' rights and the extension of slavery.

Nonslaveholders

Individuals, particularly in pre-Civil War America, who did not own slaves, including those in the North and South who opposed or could not afford slavery.

Racial Fears

Anxiety or apprehension experienced by individuals or communities, often rooted in racial differences, stereotypes, or historical conflicts.

Franklin Pierce

14th President of the United States, serving from 1853 to 1857, known for his pro-southern policies prior to the Civil War.