Mathematics · Economic Mathematics

The national economy of Indusland is facing a complex transition. A large-scale infrastructure firm, Bharat Buildcorp, operates under a Mixed Economy framework where it receives government grants but competes in the open market. You are provided with two distinct data sets representing the Microeconomic and Macroeconomic environments of Indusland as of 2025: Data Set 1: Microeconomic Production (Bharat Buildcorp) The firm uses specialized engineering teams as a variable factor against a fixed set of advanced machinery. - At 10 teams, the Total Product (TP) is 500 units of infrastructure modules. - At 11 teams, the Total Product (TP) increases to 540 units. - The cost of hiring each team is 2,00,000 currency units per month. - The firm is currently a price taker, and the market price per module is 6,000 currency units. Data Set 2: Macroeconomic Environment (Indusland) - Marginal Propensity to Save (MPS) for the economy is 0.25. - The Reserve Bank of Indusland recently increased the Cash Reserve Ratio (CRR), which reduced the Money Multiplier from 6 to 4. - The government has announced a new capital expenditure of 4,000 Crores to stimulate the Aggregate Demand (AD). Analyze the data and answer the following: I. Calculate the Marginal Cost (MC) for Bharat Buildcorp when moving from 10 to 11 teams. II. Determine if Bharat Buildcorp should hire the 11th team based on the Marginal Revenue (MR) and Marginal Cost (MC) comparison. III. Calculate the Total Increase in National Income (ΔY) resulting from the government expenditure, assuming a simple multiplier model.