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Simon, aged 10, is invited to a classmate's birthday party at an exclusive ski resort on march 15th. the day will include 4 hours of snowboarding, lunch and birthday cake. simon's mother checks a box on the invitation that says "yes, we will attend" and returns it to the classmate's address. unfortunately, they later don't attend the party when simon comes down with the flu. on march 17th, simon's mother receives an invoice in the mail from simon's classmate for $35 that says, "party no-show fee." can simon's classmate collect the fee?

Lambert manufacturing has $100,000 to invest in either project a or project b. the following data are available on these projects (ignore income taxes.): project a project b cost of equipment needed now $100,000 $60,000 working capital investment needed now - $40,000 annual cash operating inflows $40,000 $35,000 salvage value of equipment in 6 years $10,000 - both projects will have a useful life of 6 years and the total cost approach to net present value analysis. at the end of 6 years, the working capital investment will be released for use elsewhere. lambert's required rate of return is 14%. the net present value of project b is:

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.