Suppose we need to produce at least 400 cars at plant 3 according to a labor agreement. We have 3300 hours of labor and 4000 units of material available. We are allowed to produce 12000 units of pollution, and we want to maximize the number of cars produced. How can we model this?

Reliability and validity reliability and validity are two important considerations that must be made with any type of data collection. reliability refers to the ability to consistently produce a given result. in the context of psychological research, this would mean that any instruments or tools used to collect data do so in consistent, reproducible ways. unfortunately, being consistent in measurement does not necessarily mean that you have measured something correctly. to illustrate this concept, consider a kitchen scale that would be used to measure the weight of cereal that you eat in the morning. if the scale is not properly calibrated, it may consistently under- or overestimate the amount of cereal that’s being measured. while the scale is highly reliable in producing consistent results (e.g., the same amount of cereal poured onto the scale produces the same reading each time), those results are incorrect. this is where validity comes into play. validity refers to the extent to which a given instrument or tool accurately measures what it’s supposed to measure. while any valid measure is by necessity reliable, the reverse is not necessarily true. researchers strive to use instruments that are both highly reliable and valid.

The stock of grommet corporation, a u.s. company, is publicly traded, with no single shareholder owning more than 5 percent of its outstanding stock. grommet owns 95 percent of the outstanding stock of staple inc., also a u.s. company. staple owns 100 percent of the outstanding stock of clip corporation, a canadian company. grommet and clip each own 50 percent of the outstanding stock of fastener inc., a u.s. company. grommet and staple each own 50 percent of the outstanding stock of binder corporation, a u.s. company. which of these corporations form an affiliated group eligible to file a consolidated tax return?

After testing its water, a city water department issues a report to the related citizens, noting what chemicals have been identified, their doses, and the estimated risks of exposure at these levels. this report represents a type of