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.

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Definitions:

Coenzymes

Non-protein chemical compounds that bind to an enzyme and are essential for the enzyme's activity as a catalyst.

Micronutrient

Essential vitamins and minerals that an organism needs in small quantities for proper functioning of its metabolism.

Nitrogen Metabolism Enzymes

Enzymes that play a role in breaking down and synthesizing nitrogen-containing compounds, critical for amino acid and nucleotide metabolism.

Reassurance

The act of removing someone's doubts or fears, often used in healthcare to help relieve patient anxiety.