The demand x is the number of items that can be sold at a price of $p. For x equals p cubed minus 7 p squared plus 600 commax=p3−7p2+600, find the rate of change of p with respect to x by differentiating implicitly.

Suppose that each firm in a competitive industry has the following costs: total cost: tc=50+12q2tc=50+12q2 marginal cost: mc=qmc=q where qq is an individual firm's quantity produced. the market demand curve for this product is: demand qd=160−4pqd=160−4p where pp is the price and qq is the total quantity of the good. each firm's fixed cost is.

The hawthorne works was a large western electric factory with 45,000 employees. during the 1920s and 1930s, hawthorne works was the site of some well-known industrial studies. in one of the studies, researchers investigated the impact of different working conditions on worker productivity. prior to the start of the study, researchers secretly measured workers' productivity for several weeks. then researchers chose two workers, who then chose their own teams. the teams were separated from the general workforce and completed their work in different experiment rooms where the researchers could observe them more easily. over a 5-year period researchers manipulated the structure of the workday for each team (number and duration of breaks and number of hours per shift). for each of these changes in working conditions, the researchers measured the effect on productivity. for some conditions, such as frequent short breaks, workers rebelled by intentionally decreasing productivity.why did the researchers secretly measure the workers' productivity before creating the two treatment groups? a, to create similar treatment groups so that a cause-and-effect relationship could be establishedb, to draw conclusions about the productivity of all workers in the plant based on the test groupsc, to directly control for confounding variablesd, to provide a baseline for measuring worker productivity

Before contacting the news or print media about your business, what must you come up with first ? a. a media expertb. a big budgetc. a track recordd. a story angle