Blossom's Flowers purchases roses for sale for Valentine's Day. The roses are purchased for $10 a dozen and are sold for $20 a dozen. Any roses not sold on Valentine's Day can be sold for $5 per dozen. The owner will purchase 1 of 3 amounts of roses for Valentine's Day: 100, 200, or 400 dozen roses. The number of alternatives for the payoff table is

$1700

To determine the number of alternatives for the payoff table, we need to consider the different combinations of roses that the owner can purchase. In this case, the owner can choose to purchase 100, 200, or 400 dozen roses.

Let's calculate the number of alternatives for each purchase amount:

1. For 100 dozen roses, the owner has a total of 100 dozens.
2. For 200 dozen roses, the owner has a total of 200 dozens.
3. For 400 dozen roses, the owner has a total of 400 dozens.

Each of these purchase amounts represents a distinct alternative for the payoff table. Therefore, the number of alternatives for the payoff table is three.