Solve the Problem $f ( p ) = - 33 p ^ { 2 } + 1,254 p - 10,763$

question 110

Multiple Choice

Solve the problem.
-The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not
Cover the cost to produce the shirts. After months of data collection, the sales team determines that
The monthly profit is approximated by $f ( p ) = - 33 p ^ { 2 } + 1,254 p - 10,763$ , where p is the price per shirt
And f p is the monthly profit based on that price. Find the price that generates the maximum profit
And find the maximum profit.

• A) \(p = \$ 19\)
• \(f ( p ) = \$ 1,150\)
• B) \(p = \$ 38\)
• \(f ( p ) = \$ 10,763\)
• C) \(p = \$ 19\)
• \(f ( p ) = \$ 24,976\)
• D) \(p = \$ 38\)
• \(f ( p ) = \$ 1,150\)

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Definitions:

Pay Levels

The range of compensation provided to employees, typically categorized into bands or grades based on job roles, responsibilities, and market benchmarks.

Profitability

A measure of the efficiency and financial success of a business, indicated by the amount of profit generated relative to revenue and expenses.

Market Pay

The average amount of compensation given to employees within a specific job market, industry, or geographic area.

Job Classification System

A method for categorizing jobs into groups or classes based on similar duties, responsibilities, and qualifications.