Questions: Write a sentence that explains the answer to part (a) in the context of the problem.
We found the P-intercept to be (n, P)=(0,-1,600). Analyze each part of the intercept in the context of the problem.
n=0 corresponds to selling smartwatches.
Since the value of the profit P is negative, the company will endure a - Select- v. Therefore, P=-1,600 means that the company lost .
Therefore, if the company sells smartwatches, it will lose .
Transcript text: Write a sentence that explains the answer to part (a) in the context of the problem.
We found the $P$-intercept to be $(n, P)=(0,-1,600)$. Analyze each part of the intercept in the context of the problem.
$n=0$ corresponds to selling $\square$ smartwatches.
Since the value of the profit $P$ is negative, the company will endure a - Select- $v$. Therefore, $P=-1,600$ means that the company lost $\$$ $\square$ .
Therefore, if the company sells $\square$ smartwatches, it will lose \$ $\square$ .
Solution
Solution Steps
To analyze the $P$-intercept in the context of the problem, we need to understand what each part of the intercept represents. The $n=0$ indicates the number of smartwatches sold, and $P=-1,600$ represents the profit or loss. Since the profit is negative, it indicates a loss. We need to determine the number of smartwatches sold and the amount of loss.
Step 1: Analyze the Intercept
The $P$-intercept is given as \((n, P) = (0, -1600)\). Here, \(n = 0\) indicates that the company sold \(0\) smartwatches.
Step 2: Determine the Profit or Loss
The profit \(P\) is \(-1600\), which indicates a loss. Therefore, the company incurred a loss of \(\$1600\).
Step 3: Summarize the Findings
Since the company sold \(0\) smartwatches, it will lose \(\$1600\).
Final Answer
The company sold \(\boxed{0}\) smartwatches and lost \(\boxed{1600}\).