I need only exact answers within one and half hour.

(1) "Machine A has an immediate cost of $14,000, and it will earn a net income of $4300 per year for a total of 3 years. Machine B has an immediate cost of $25,000, and it will earn a net income of $6000 per year for a total of 9 years. Assume that Machine A can continually be replaced at the end of its useful life with an identical replacement. Neither machine has any salvage value. Enter the annual equivalent worth of the machine that is the best alternative if the interest rate is 11.6%. If neither machine is acceptable, enter 0."

(2) "The cost in dollars of operating a jet-powered commercial airplane Co is given by the following equation

Co = k*n*v^(3/2)

where

n is the trip length in miles,

v is the velocity in miles per hour, and

k is a constant of proportionality.

It is known that at 482 miles per hour the cost of operation is $340 per mile. The cost of passengers' time in dollars equals $362,000 times the number of hours of travel. The airline company wants to minimize the total cost of a trip which is equal to the cost of operating plus the cost of passengers' time.

At what velocity should the trip be planned to minimize the total cost?

HINT: If you are finding this difficult to solve, arbitrarily choose a number of miles for the trip length, but as you solve it, you should be able to see that the optimal velocity does not depend on the value of n."

(3) "A contributing factor to an airplane's duel consumption is the bypass ratio of the engine system. The bypass ratio is the amount of air passing around the engine core relative to the amount of air passing through the core. An airplane manufacturer is designing a new airplane and wants to determine the bypass ratio for the airplane's engine system. The airplane will fly 3,500 hours per year and will average 520 miles per hour. The amount of fuel that the airplane consumes can be expressed as:

z = 0.0482 - (8.03*10^-4) * y

for 4<y<12

where y is the bypass ratio (a unitless number) and z is the number of gallons of fuel consumed per mile flown by the airplane. The cost of fuel remains constant at $4.73 per gallon.

The initial cost of the engine system as a function of the bypass ratio is $283,000 + $2,600y^2.

The engine system will be used for 9 years. At the end of 9 years, the salvage value of the engine system as a function of bypass ratio is $15,000y. The airplane manufacturer wants to minimize the annual equivalent cost (AEC) of the engine system (which includes the initial cost, the annual cost of fuel, and the salvage value). The manufacturer's MARR is 10.7%. What is the optimal bypass ratio rounded to the nearest tenth that minimizes the AEC of the engine system?

(The optimal answer for the bypass ratio is between 4 to 12, but it should not be necessary to consider that constraint in your calculations.)"