Question

A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. If the workshop has 127 hours for prep time, 104 hours for painting, and 133 hours for firing, how many of each can be made?

Answer 1

Wreaths- 42 prep,  52 painted, 14 fired
Trees- 9 prep, 34 painted, 33 fired
Sleighs- 31 prep, 6 painted, 19 fired

How many can be made:
Wreaths= 14
Trees= 9
Sleighs= 6

Answer 2

If all things can be made at the same time, then it would look something like this(all numbers should be rounded down):

127 of Prep: Wreath:127/3 = 42 prepped
127 of Prep: Tree:127/14 = 9 prepped
127 of Prep: Sleigh:127/4 = 31 prepped

104 of Painting: Wreath:104/2 = 52 painted(but because only 42 were prepped, your number will be 42 still)
104 of Painting: Tree:104/3 = 34 painted(As stated above, but with only 9)
104 of Painting: Sleigh:104/17 = 6 painted(this number will overwrite the number of prepped sleighs as only 9 could be painted in the allotted time.)

133 of Firing: Wreath:133/9 = 14 ready to go
133 of Firing: Tree:133/4 = 33(but only nine were painted so the number ready to go is 9) 
133 of Firing: Sleigh:133/7 = 19(but only 6 are ready to go)

Final Results: Wreath - 14
                       Tree - 9
                      Sleigh - 6