Final answer:
To find out how many units of energy are required to produce 51 units of manufactured goods in this simplified economy, we need to multiply the input-output matrix by the vector representing the manufactured goods.
Step-by-step explanation:
To find out how many units of energy are required to produce 51 units of manufactured goods, we need to multiply the input-output matrix by the vector representing the manufactured goods. Let's label the input-output matrix as A and the manufactured goods vector as x.
A = [2, 4, 3] [1, 0, 1] [3, 2, 1]
x = [51, 0, 0]
Multiplying A by x gives us:
Ax = [2*51 + 4*0 + 3*0, 1*51 + 0*0 + 1*0, 3*51 + 2*0 + 1*0]
Ax= [102, 51, 153]
Therefore, 102 units of energy are required to produce 51 units of manufactured goods in this simplified economy.
Learn more about Energy requirements in a simplified economy