An x chart is to be designed for a quality characteristic assumed to be normal with a standard deviation of $2.$ Specifications on the product quality characteristics are $50+5.$ The control chart is to be designed so that if the fraction nonconforming is as large as $1\%.$ We would like an acceptance control chart to detect this out$-$ ofcontrol condition with probability $0\mathrm{.}99.$ The sample size is n $=5.$ What are the limits for the acceptance control chart? UCL$=$ LCL$=$