Solve the Problem $f _ { 1 } ( x ) = - x ^ { 2 } + 100 x ; f _ { 2 } ( x ) = - x ^ { 2 } + 80 x + 200$

question 149

Multiple Choice

Solve the problem.
-The following information pertains to a bakery which makes donuts.


Make a scatterplot of the data. Then graph the following two functions on the same coordinate system: $f _ { 1 } ( x ) = - x ^ { 2 } + 100 x ; f _ { 2 } ( x ) = - x ^ { 2 } + 80 x + 200$ . Decide which function best models the data, and then use that function to estimate the maximum possible profit.

• A) \(\mathrm { f } _ { 1 }\); maximum profit is \(\$ 2500 .\)
• B) \(\mathrm { f } _ { 2 } ;\) maximum profit is \(\$ 1800 .\)
• C) \(\mathrm { f } _ { 1 }\); maximum profit is \(\$ 2900\).
• D) \(\mathrm { f } _ { 2 } ;\) maximum profit is \(\$ 2670 .\)

Understand the key concepts of contract law including conditions, damages, and breaches.

Identify and apply the different types of damages and their application in contract disputes.

Comprehend the principles surrounding the availability and limitations of specific performance in contract enforcement.

Analyze the impact of unforeseen circumstances on contractual obligations and remedies.

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Definitions:

Major League Baseball

A professional baseball organization that is the oldest of the four major professional sports leagues in the United States and Canada.

Ticket Sales

The process and revenue generated from selling tickets for events such as movies, concerts, sports, and other performances.

Revenue Maximization

A strategy or objective focused on increasing the total income generated from sales or services, without necessarily maximizing profit.

Cournot Equilibrium

The Cournot equilibrium is a concept in economic theory where firms reach a state of balance in quantity and price in a duopoly, where each firm's output decision best responds to the output decision of the other firm.