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Algebra
Question

(Modeling) Cost, Revenue, and Profit Analysis Dot...

(Modeling) Cost, Revenue, and Profit Analysis Dotty starts up a small business manufacturing bobble-head figures of famous soccer players. Her initial cost is \(\$ 3300\) . Each figure costs \(\$ 4.50\) to manufacture.

(a) Write a cost function \(C\) , where \(x\) represents the number of figures manufactured.

(b) Find the revenue function \(R\) if each figure in part (a) sells for \(\$ 10.50\) .

(c) Give the profit function \(P\) .

(d) How many figures must be produced and sold for Dotty to earn a profit?

Answer

\(\left. \begin{array} { l l } { \text { [2.4] 22. } \left. \begin{array} { l l } { \text { (a) } C ( x ) = 3300 + 4.50 x } & { \text { (b) } R ( x ) = 10.50 x } \\ { \text { (c) } R ( x ) - C ( x ) = 6.00 x - 3300 } & { \text { (d) } 551 \text { figures } } \end{array} \right. } \end{array} \right.\)

Solution
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