Suppose the cost per hour incurred in operating a cruise ship is 3a + bv3 dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.)

Auniversity spent $1.8 million to install solar panels atop a parking garage. these panels will have a capacity of 400 kilowatts (kw) and have a life expectancy of 20 years. suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kwh), and that the marginal cost of electricity production using the solar panels is zero. hint: it may be easier to think of the present value of operating the solar panels for 1 hour per year first. approximately how many hours per year will the solar panels need to operate to enable this project to break even? a. a.3,696.48 b.14,785.92 c.9,241.20 if the solar panels can operate only for 8,317 hours a year at maximum, the project (would/would not)break even?

Suppose that a monopolistically competitive restaurant is currently serving 260 meals per day (the output where mr

Our uncle has $300,000 invested at 7.5%, and he now wants to retire. he wants to withdraw $35,000 at the end of each year, starting at the end of this year. he also wants to have $25,000 left to give you when he ceases to withdraw funds from the account. for how many years can he make the $35,000 withdrawals and still have $25,000 left in the end? a. 14.21b. 14.96c. 15.71d. 16.49e. 17.32