1) 2) 3) Provide a FULL SOLUTION to ONE of the three questions And choose QNE of the remaining two to SET [12 but do w solve. ( Stop immediately before taking the derivative) A cylindrical tin with a capacity of 750 cm3 is to be constructed out of sheet metal. The construction material for the side and base costs $ 0.05 / cm2 and for the top costs $ GAO/cm2 . The tin must t into premade boxes with a base of 14 cm by 14 cm and a height of 5 cm. Determine the dimensions of the tin, to two decimal places, that will minimize the cost of the metal needed. A family lives on an island 2 km from the mainland. Their tness club is 4 km along the shore from the point closest to the island. To get to the tness club, they paddle their kayak at 2 km/h. Once they reach the shore, they jog at 4 km/h. Determine where they should land on the shore to reach the fitness club in the shortest possible time. The gure below shows a rectangle inscribed in an isosceles right triangle. What is the area of the largest possible rectangle you can have