The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 20% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 100 people purchased the product this month. How many will purchase the product next month and in 2 months?

number of people who will purchase next month = 250

the number of people who will purchase in 2 month = 325

Step-by-step explanation:

Data provided in the question:

people who purchase the plant's product during any month will not purchase it the next month = 30%

therefore, people who purchase the plant's product during any month will purchase next month = 70%

people who do not purchase the product during any month will purchase it the next month = 20%

Total number of people = 1000

Number of people who purchased this month = 100

Number of people who did not purchase = 1000 - 100 = 900

therefore,

the number of people who will purchase next month

= 70% of 100 + 20% of 900

= 0.70 * 100 + 0.20 * 900

= 70 + 180

= 250

now,

the number of people who will purchase in 2 month

= 70% of (number of people who will purchase next month) + 20% of (number of people who did not purchase next month)

= 70% of 250 + 20% of (1000 - 250)

= 0.70 * 250 + 0.20 * 750

= 175 + 150

= 325