An Amazon seller is deciding which of their products to invest in for the next quarter to maximize their profits. They have each of their products listed as segments of a circle. Due to varying market conditions, the products do not sell consistently. The seller wants to achieve maximum profit using limited resources for investment. The product list is segmented into a number of equal segments, and a projected profit is calculated for each segment. The projected profit is the cost to invest versus the sale price of the product. The seller has chosen to invest in a number of contiguous segments along with those opposite. Determine the maximum profit the seller can achieve using this approach.

The business cycle is the periodic but irregular up-and-down movement in economic activity, measured by fluctuations in real gross domestic product (gdp) and other macroeconomic variables. a business cycle is typically characterized by four phases—recession, recovery, growth, and decline—that repeat themselves over time. economists note, however, that complete business cycles vary in length. the duration of business cycles can be anywhere from about two to twelve years, with most cycles averaging six years in length. some business analysts use the business cycle model and terminology to study and explain fluctuations in business inventory and other individual elements of corporate operations. but the term "business cycle" is still primarily associated with larger (industry-wide, regional, national, or even international) business trends.