Final answer:
By calculating the earnings per share and dividing the market price per share by it, the price-earnings ratio for Jupiter Explorers is determined to be approximately 21.57.
Step-by-step explanation:
To calculate the price-earnings ratio for Jupiter Explorers, begin by determining the total profit. Since the profit margin is 5 percent of sales, the profit can be calculated by multiplying the total sales of $8,200 by 5%, which equals to $410. Next, you divide this profit by the number of outstanding shares to find the earnings per share (EPS).
With 5,200 shares outstanding, the EPS is $410 / 5,200, which equals to approximately $0.0788 per share. Finally, divide the market price per share of $1.70 by the EPS of $0.0788 to find the price-earnings (P/E) ratio. This results in a P/E ratio of approximately $1.70 / $0.0788, which is approximately 21.57.