The Lower Control Limit (LCL) for a p-chart can be calculated using the formula: LCL = p - Zsqrt[(p(1-p))/n], where p is the fraction defective, Z is the Z-score corresponding to the desired confidence level, and n is the sample size. Given p = 0.006, n = 50, and Z = 3 (for a 99.7% confidence level), we substitute these values into the formula: LCL = 0.006 - 3sqrt[(0.006(1-0.006))/50] = 0.006 - 0.003 = 0.003 So, the correct answer is C. 0.003