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Gryffindor produces 2 goo

Gryffindor produces 2 goods, magic potions (denoted by MP) and magic wands (denoted by MW) using lemon grass (denoted by G) and troll labor (denoted by L). To produce magic potions, one needs to use 5 pounds of lemon grass per one troll so that GMP = 5*LMP. Also, to produce magic wands, one needs to use 0.25 pounds of lemon grass per one troll so that GMW = 0.25*LMW. There are 2,000 trolls and 10,000 pounds of lemon grass in Gryffindor.a) Draw the box diagram for this problemb) Solve for the amounts of troll labor and lemon grass in each indursty (Hint: from the box diagram, the amount of factors used in each industry must add up to the total for Gryffindor)c) Suppose that the number of trolls increases to 2,250 due to immigration from Slytherin, keeping total lemon grass fixed at 10,000 pounds. Again solve for the amounts of of factors used in each industryd) Suppose instead that the amount of lemon grass incrases to 15,000 pounds due to FDI from Slytherin, keeping the total number of trolls fixed at 2,000. Again solve for the amounts of factors used in each industrye) Explain how your results from parts (c) and (d) are related to the Rybczynski Theorem