Assume an open economy with two sectors, Food and Water. The production of $1,00 worth of food needs $0.10 worth of food and $0.30 worth of water,...

Assume an open economy with two sectors, Food and Water. The production of $1,00 worth of food needs $0.10 worth of food and $0.30 worth of water, and the production of $1,00 worth of water needs$0.40 worth of food and $0.20 worth of water.

a. determine the consumption and Leontief matrices.

b. if the open sector has a demand of $12 worth of food and $8 worth of water, find the production vector that will meet demand exactly.