Aconsumer chooses an optimal consumption point where the a. slope of the indifference curve exceeds the slope of the budget constraint by the greatest amount. b. ratio of the marginal utilities equals the ratio of the prices. c. marginal rate of substitution is maximized. d. all of the above are correct.

When someone buys a fourth television for his or her house, what is the result? a. there's a decrease in the marginal utility of the television. b. the increase in demand brings leads to higher prices for televisions. c. the production of televisions becomes more efficient. d. there's a rise in the opportunity cost of buying other goods.

Alpha industries is considering a project with an initial cost of $8 million. the project will produce cash inflows of $1.49 million per year for 8 years. the project has the same risk as the firm. the firm has a pretax cost of debt of 5.61 percent and a cost of equity of 11.27 percent. the debt–equity ratio is .60 and the tax rate is 35 percent. what is the net present value of the project?

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.