The Cost $C$ Of Producing $t$ Units Is Given By $C ( t ) = 3 t ^ { 2 } + 8 t$

question 31

Multiple Choice

The cost $C$ of producing $t$ units is given by $C ( t ) = 3 t ^ { 2 } + 8 t$ , and the revenue $R$ generated from selling $t$ units is given by $R ( t ) = 4 t ^ { 2 } + t$ . For what values of $t$ will there be a profit?

• A) There will be a profit when more than 8 units are sold
• B) There will be a profit when more than 9 units are sold.
• C) There will be a profit when more than 7 units are sold.
• D) There will be a profit when 0 units are sold.

---

Definitions:

Constitutionally Divided

A term referring to the separation of powers among the different branches of government as defined by a constitution.

Implied

Something suggested or indicated, though not expressly stated.

Internal Revenue Service

The U.S. government agency responsible for the collection of taxes and enforcement of tax laws.

Expressed Powers

Specific powers granted to the government or its branches explicitly mentioned in a constitution, particularly the United States Constitution.