Answer:
To meet the criteria, I have decided to purchase 300 ice cream bars, 200 frozen yogurts, and 200 fruit bars for a total of 700 frozen treats. The cost to me for the 300 ice cream bars is $150, and for the 200 frozen yogurts and 200 fruit bars, the cost is $200, totaling to $350, which is within the budget of $400.
Assuming that the selling price of ice cream bars is $2, frozen yogurts are $1.50, and fruit bars are $1, I expect to make a profit of $600 from ice cream bars, $300 from frozen yogurts, and $200 from fruit bars.
The total expected profit from all three types of frozen treats is $1,100, which is well above the target profit of $800. Therefore, purchasing 300 ice cream bars, 200 frozen yogurts, and 200 fruit bars satisfies all the criteria.