Consider the economy of Israel in 1958. The three industries considered here are
Outputs and demands are measured in millions of Israeli pounds, the currency of Israel at that time. We are told that
a. Why do the first components of and equal ?
b. Find the outputs , , required to satisfy demand.
a. As the sectors of energy and manufacturing do not make demand on the agriculture sector, so, the first components of and equals 0.
b. are the values that satisfy the demand.
The demand vector for the industry is represented by the vector .
The vector represents the manufacturing industry and the vector represents the energy industry.
As manufacturing and the energy industries does not make any kind of demand on agriculture industry, thus, the vectors of manufacturing and the energy industries equal zero.
The vector values of the agriculture, manufacturing and the energy industries are,
The demand function is written as, .
Therefore, the matrix form is,
Consider the matrix.
Using row Echelon form to reduce the matrix.
The values are:
As the output cannot be negative, thus, the values will be,
Consider some particles in the plane with position vectors and masses .
The position vector of the center of mass of this system is
Consider the triangular plate shown in the accompanying sketch. How must a total mass of be distributed among the three vertices of the plate so that the plate can be supported at the point ; that is, ? Assume that the mass of the plate itself is negligible.
94% of StudySmarter users get better grades.Sign up for free