Santa claus is assigning elves to work an eight-hour shift making toy trucks. apprentice elves draw a wage of five candy canes per hour worked but can only make four trucks an hour. senior elves can make six trucks an hour and are paid eight candy canes per hour. there’s only room for nine elves in the truck shop, and due to a candy-makers’ strike, santa claus can only pay out 480 candy canes for the whole 8-hour shift.
a. how many senior elves and how many apprentice elves should work this shift to maximize the number of trucks that get made?

b. how many trucks will be made?

c. just before the shift begins, the apprentice elves demand a wage increase; they insist on being paid seven candy canes an hour. now how many apprentice elves and how many senior elves should santa assign to this shift?

d. how many trucks will now get made, and how many candy canes will santa have left over?