Rosters Chicken advertises "lite" chicken with $30\%$ fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains $430$ calories, and the standard deviation in caloric content of the chicken breast population is $20$ calories.

Rosters wants to design an $\stackrel{}{x}-$chart to monitor the caloric content of chicken breasts, where $25$ chicken breasts would be chosen at random to form each sample.

a$)$ What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target?

Upper Control Limit $(UC{L}_x^{-})=,$ calories $($enter your response as an integer$).$