Final answer:
The growth in sales will increase the cash balance by $100,000, and if the dividend payout is only 20 percent, the cash balance will increase by $80,000.
Step-by-step explanation:
a. The cash balance will increase by the difference between the sales of the current year and the sales of next year, multiplied by the proportion of net assets to sales. In this case, the cash balance will increase by ($1,790,000 - $1,590,000) x 50% = $100,000.
b. If the dividend payout is only 20 percent, the cash balance will increase by ($1,790,000 - $1,590,000) x 50% - ($1,790,000 - $1,590,000) x 20% = $80,000.