A team ought to allocate rewards collectively rather than to individuals, as successful teams thrive on collaboration instead of rivalry. Providing rewards to individuals based on their contributions can diminish team effectiveness. For instance, if specific team members receive preferential treatment, it could foster competitiveness among them.
P(x) = -30x^2 + 9000x - 567000. Explanation: Initially, we must recall the components of a Profit function. The profit of a business is equivalent to its revenue (R(x)) minus its costs (C(x)). There are two elements: 1. Revenue: defined as the number of units sold multiplied by the price, where x indicates the price charged and Q(x) reflects the number of shirts sold. 2. Cost: The cost function is directly provided in the prompt. Aggregating these elements yields the complete profit function.
A sampling plan can be viewed as a strategy involving intelligent steps that allow a researcher to select a sample from the general population to assess answers to the current questions. In this situation, a company has developed innovative photocopy machines, and the research task is to estimate the demand for these machines from businesses in Cleveland. The sampling method that could be utilized involves probability sampling techniques, specifically Simple Random Sampling and Systematic Sampling. The defined sample frame comprises the organizations in Cleveland, which should be categorized into small, medium, and large based on their employee numbers. The researcher must evaluate each organization, collecting data through simple random sampling where every organization is assessed. Using systematic sampling, business in Cleveland can be listed for analysis with an arbitrary selection for examination. Given that every organization needs to be evaluated and categorized, a structured approach using Simple Random Sampling and Systematic Sampling is required.