2. The Alpha Company produces atomic energy and labor. Let each $1 in energy require $0.4 in labor, while each $1 in labor requires $1 in energy and $0.5 in labor. Suppose that there is an outside demand for $23,000 in energy and $14,000 in labor. (a) Determine the consumption matrix C and the demand matrix D. Energy Labor Energy Energy D = Labor Labor b) Compute I - C. (c) Find the inverse (I - C)-1. [Hint: C is a 2 x 2 matrix.] (d) Determine the production matrix for the given external demand. (e) Determine the internal usage. (f) Is this consumption matrix C productive? Why? (g) Determine which, if any, industries are profitable