a. Among all pairs of number (x, y) such that 2x + y = 16, find the pair for which the sum of squares x+ y is minimum. b. A small cruising ship that can hold up to 60 people provides 3-day excursions to groups of 38 or more. If the group contains 38 people, each person pays $74. The cost per person for all members of the party is reduced by $1 for each person in excess of 38. Find the size of the group that maximizes the income for the owners of the ship.