A constraint with a positive slack value:. a. will have a positive dual price.
b. will have a negitive dual price.
c. will have a dual price of zero.

Capital financial corporation will lend 90 percent against account balances that have averaged 30 days or less; 80 percent for account balances between 31 and 40 days; and 70 percent for account balances between 41 and 45 days. customers that take over 45 days to pay their bills are not considered acceptable accounts for a loan. the current prime rate is 16.50 percent, and capital charges 3.50 percent over prime to charming as its annual loan rate. a. determine the maximum loan for which charming paper company could qualify.

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

Russell's study compared gpa of those students who volunteered for academic study skills training and those who did not elect to take the training. he found that those who had the training also had higher gpa. with which validity threat should russell be most concerned?