The perimeter of a rectangle is calculated by adding the lengths of all its sides: (2 * length) + (2 * width) = (2 * 30) + (2 * 10) = 60 + 20 = 80 feet.

To find the distance traveled, we multiply the speed of the train by the time traveled. First, we need to convert the time to hours: 2 hours and 30 minutes = 2 + 0.5 = 2.5 hours. Then, we multiply the speed by the time: 60 miles/hour x 2.5 hours = 150 miles.

First, we find the number of people who like at least one of the ice cream flavors: 25 (both) + 15 (only chocolate) + 12 (only vanilla) = 52 people. Since some people are counted twice in this sum (those who like both flavors), we subtract the number of people who like both flavors to get the number of people who like at least one flavor: 52 - 25 = 27 people. Finally, we subtract this number from the total number of people in the group to find the number of people who like neither flavor: 60 - 27 = 33 people. However, the question asks for the number of people who like neither flavor, so we need to subtract the number of people who were counted twice (those who like both flavors): 33 - 25 = 8 people. Answer: d) 8 people.

The production rate per hour is 800 toys / 8 hours = 100 toys/hour.

For the first 15 hours, the factory produces 15 hours * 100 toys/hour = 1500 toys.

During the last 5 hours, the production rate is increased by 50%, so the new production rate is 100 toys/hour + 0.5 * 100 toys/hour = 150 toys/hour.

For the last 5 hours, the factory produces 5 hours * 150 toys/hour = 750 toys.

The total number of toys produced during the 20-hour period is 1500 toys + 750 toys = 2250 toys.

Therefore, after recalculating, the factory will produce a total of 2250 toys during the 20-hour period.