Problem 2. In this question, you may use online solvers to multiply matrices and solve systems of linear equations. Clearly indicate the set-up for each calculation, and its result. Round your results to 1 decimal. Give a clear verbal answer to each question. A certain economy is divided into four sectors, namely S1, S2, S, and S4. For each unit of its output, . sector S, requires 0.1 units from sector $1, 0.2 units from $2, 0.3 units from Ss, and 0.4 units from S4; . sector S, requires 0.2 units from sector $1, 0.1 units from S, and nothing from S, and S3; . sector S requires 0.2 units from sector $2, 0.1 units from $3, and nothing from S, and Si; and . sector S, requires 0.3 units from sector S1, 0.2 units from $2 0.4 units from S,, and nothing from $3. (a) Determine the consumption matrix for this economy. (b) For next year, the management is planning the following production levels: 10 units for sector S1, 20 units for sector $2, 30 units for sector $3, and 40 units for sector S, . Calculate the vector of intermediate demand to determine whether or not this plan is feasible. Explain! (c) Determine the production level that satisfies a final demand of 2 units for sector S1, 4 units for sector S, 3 units for sector $3, and 5 units for sector S