$(6$ points$)$ Note for this problem that you will use cold air assumptions for cp $,$ and estimate the change in enthalpy using $c{p}^{**}$ delta$\_T.$

Consider a Brayton cycle with a pressure ratio of $11,$ that receives $5\mathrm{.}1lb\frac{m}{s}$ of air at $80F.$ Assume that the maximum allowable temperature in the machinery is $2300F.$ If the isentropic efficiency of the compressor and turbine is $93\%$ and $96\%$ respectively, then:

$($a$)$ what is the net power output of this system? internet for this unit$)$

$($b$)$ what is the thermal efficiency of this system? $\%$

Note: You can earn partial credit on this problem.