Capacity Utilization Calculator

def capacity_utilization(actual_output, potential_output):
    """
    Calculate plant capacity utilization and idle capacity.
    """
    if potential_output <= 0:
        raise ValueError("Potential maximum capacity must be greater than zero.")
        
    utilization_rate = (actual_output / potential_output) * 100.0
    idle_rate = max(0.0, 100.0 - utilization_rate)
    gap = actual_output - potential_output
    
    return utilization_rate, idle_rate, gap

# Inputs
Actual = 10250
Potential = 12500

util, idle, diff = capacity_utilization(Actual, Potential)

print(f"Capacity Utilization Rate: {util:.2f}%")
print(f"Idle Capacity: {idle:.2f}%")
print(f"Output Variance: {diff:,.0f} units")

function [utilization_rate, idle_rate] = capacity_utilization(actual, potential)
    % Calculate Capacity Utilization Rate
    if potential <= 0
        error('Potential output must be greater than 0.');
    end
    utilization_rate = (actual / potential) * 100;
    idle_rate = max(0, 100 - utilization_rate);
end

% Example
Actual = 10250;
Potential = 12500;

[util, idle] = capacity_utilization(Actual, Potential);
fprintf('Utilization: %.2f%%\n', util);
fprintf('Idle Capacity: %.2f%%\n', idle);