Draw labeled graph according to the question: The change in the optimal capital-labor ratio if both inputs are perfect complements in production and both their prices increase by an identical percentage.  assume the total cost before and after the change in input prices remains the same

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Isocost and Isoprofit Curve Analysis

An isocost curve in the production theory that is a crucial part of economics depicts different combinations of factor inputs at a given market cost. In other words, this shows all the combinations of production factors that cost the same for the firm to employ. Usually, this can be depicted as a downward sloping straight line when the firms act as the price-takers in the factor markets. The slope of this mainly depicts the relative prices of different production factors.