Durango Co. must decide between two investment opportunities. Information about the two opportunities is listed below: Opportunity 1 - Present value of cash inflows is $123,000 and the present value of cash outflows is $112,323. Opportunity 2 - Present value of cash inflows is $14,232 and the present value of cash outflows is $7,232. Which investment yields a higher rate of return?

Awidower devised his fee simple interest in his residence as follows: “to my daughter for life, then to my oldest grandchild who survives her.” at the time of the widower’s death, he was survived by his only two children, a son and a daughter, and by one grandchild, his daughter’s son. a short time later, the daughter together with her son entered into a contract to sell the residence in fee simple to a buyer. the applicable jurisdiction continues to follow the common law rule against perpetuities, but has abrogated the rule in shelley’s case. at the closing, the buyer refused to purchase the residence. can the sellers compel the buyer to do so?

Martha entered into a contract with terry, an art dealer. according to the contract, terry was to supply 18 th century artifacts to martha for the play she was directing, and martha was ready to pay $50,000 for this. another director needed the same artifacts and was ready to pay $60,000. terry decided not to sell the artifacts to martha. in this case, the court may order terry to:

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.