Use the Sales information above to answer this question. What is the maximum profit Yaster Inc. can expect from thingamabob sales? $ Round to the nearest dollar. Note: The profit may be negative, if Yaster Inc. experiences a loss. 249,035

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### Sales Profit Calculation for Yaster Inc.

Use the Sales information above to answer this question.

### Question
What is the maximum profit Yaster Inc. can expect from thingamabob sales?

\[ \$ \underline{\hspace{50px}} \]

Round to the nearest dollar.

**Note:** The profit may be negative, if Yaster Inc. experiences a loss.

### Answer
\[ \$ 249,035 \]
Transcribed Image Text:### Sales Profit Calculation for Yaster Inc. Use the Sales information above to answer this question. ### Question What is the maximum profit Yaster Inc. can expect from thingamabob sales? \[ \$ \underline{\hspace{50px}} \] Round to the nearest dollar. **Note:** The profit may be negative, if Yaster Inc. experiences a loss. ### Answer \[ \$ 249,035 \]
**Thingamabob Sales**

Yaster Inc. is trying to enter the thingamabob market. The research department established the following price-demand, cost, and revenue functions:

\[
\begin{array}{|c|c|}
\hline
p(x) = 57 - 1.14x & \text{Price-demand function} \\
\hline
C(x) = 215 + 11x & \text{Cost function} \\
\hline
R(x) = xp(x) = x(57 - 1.14x) & \text{Revenue function} \\
\hline
\end{array}
\]

where \(x\) is in thousands of thingamabobs and \(C(x)\) and \(R(x)\) are in thousands of dollars. The price \(p(x)\) is the price in dollars of one thingamabob when the demand is \(x\) thousand thingamabobs. All three functions have domain \(1 \le x \le 50\).
Transcribed Image Text:**Thingamabob Sales** Yaster Inc. is trying to enter the thingamabob market. The research department established the following price-demand, cost, and revenue functions: \[ \begin{array}{|c|c|} \hline p(x) = 57 - 1.14x & \text{Price-demand function} \\ \hline C(x) = 215 + 11x & \text{Cost function} \\ \hline R(x) = xp(x) = x(57 - 1.14x) & \text{Revenue function} \\ \hline \end{array} \] where \(x\) is in thousands of thingamabobs and \(C(x)\) and \(R(x)\) are in thousands of dollars. The price \(p(x)\) is the price in dollars of one thingamabob when the demand is \(x\) thousand thingamabobs. All three functions have domain \(1 \le x \le 50\).
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