It seems you've uploaded an image. Let me analyze it to extract the mathematical content and provide a solution. PIL import Image

Load the uploaded image to see its contents

img_path = '/mnt/data/17337191784580yb9d4nz.jpg' img = Image.open(img_path)

Display the image to understand its content

img.show()I have displayed the image you uploaded, but it seems that I need to process the image for its mathematical content. Let me extract the text and analyze it for any mathematical details. pytesseract

Use OCR to extract text from the image

extracted_text = pytesseract.image_to_string(img)

extracted_textThe image contains a problem about dividends declared by a human resources outsourcing company. Here's a summary of the key details:

• The company has declared a total dividend of $3,000,000.
• There are 600,000 shares of preferred stock that pay $0.90 per share.
• There are 1,800,000 shares of common stock.

Now, let's break down the questions:

(a) What are the dividends (in $) due to the preferred shareholders?

The total dividend due to preferred shareholders is calculated by multiplying the number of preferred shares by the dividend per preferred share: $\text{Preferred dividends} = 600,000 \, \text{shares} \times 0.90 \, \text{per share}$

(b) What is the dividend per share (in $) of common stock? (Round your answer to the nearest cent.)

After the preferred dividends are paid, the remaining amount of the total dividend will be distributed among the common shareholders. To find the dividend per common share, we first calculate the remaining dividend after paying preferred shareholders, and then divide it by the number of common shares: $\text{Remaining dividend for common stock} = \text{Total dividend} - \text{Preferred dividends}$ $\text{Dividend per common share} = \frac{\text{Remaining dividend for common stock}}{1,800,000 \, \text{shares}}$

Let me compute the answers for both questions. Given values total_dividend = 3000000 # total dividend declared preferred_shares = 600000 # number of preferred shares preferred_dividend_per_share = 0.90 # dividend per preferred share common_shares = 1800000 # number of common shares

(a) Calculate the preferred dividends

preferred_dividends = preferred_shares * preferred_dividend_per_share

(b) Calculate the remaining dividend for common stock and dividend per common share

remaining_dividend_for_common = total_dividend - preferred_dividends dividend_per_common_share = remaining_dividend_for_common / common_shares

preferred_dividends, round(dividend_per_common_share, 2)Here are the results for the two questions:

(a) The dividends due to the preferred shareholders:

The preferred shareholders are due $540,000 in total.

(b) The dividend per share of common stock:

The dividend per common share is $1.37 (rounded to the nearest cent).

Would you like further clarification or additional questions on this topic?

Related Questions:

1. How would the dividend per common share change if the number of preferred shares were doubled?
2. If the company declared a different total dividend, how would the preferred and common dividends adjust?
3. What happens if the company decides to not pay a dividend to preferred shareholders?
4. How do changes in the number of common shares affect the dividend distribution?
5. Can you explain how preferred stock differs from common stock in terms of dividends?

Tip: When calculating dividends, always ensure to account for the order of payments—preferred stockholders are paid first before any remaining dividends are distributed to common stockholders.