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, 60% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product in 2 months?

Question

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First, calculate the number of people who purchased the product this month and will not purchase it next month: 200 people * 30% = 60 people. So, 140 people who purchased this month will purchase it again next month.Next, calculate the number of people who did not purchase the product this month and will purchase it next month: 800 people * 60% = 480 people.Therefore, in the next month, 140 + 480 = 620 people will have purchased the product.For the second month, apply the same percentages:- 30% of the 620 people will not purchase it the next month: 620 * 30% = 186 people, leaving 434 people who will purchase it again.- 60% of the people who did not purchase the product in the next month (1000 - 620 = 380) will purchase it the following month: 380 * 60% = 228 people.Thus, in the second month, 434 + 228 = 662 people will purchase the product.

The Market Research Department at a Manufacturing Plant Determines That