1.) A person invested $6200 for 1year, part at 6%, part at 10%, and the remainder at 14%. The total annual income from these investments was $704. The amount of money invested at 14% was $200 more than the amounts invested at 6% and 10% combined. Find the amount invested at each rate.

Question: The person invested $ at 6%, $ at 10 %, and $ at 14%

2.) A system for tracking ships indicates that a ship lies on a path described by 6y^2x^2=5 The process is repeated and the ship is found to lie on a path described by

2x^2y^2 =1 If it is known that the ship is located in the first quadrant of the coordinatesystem, determine its exact location.

Question: The exact location of the ship is (an ordered pair)

3.) The objective function is z=5x+3y. Point A at (3,9) Point B at (8,5) Point C at (9,3) Point D at (2,2)

A. Find the value of the objective function at each corner of the points listed.

B. Find the maximum value of the objective function.

C. Find the minimum value of the objective function.