$[17\mathrm{.}48/33\mathrm{.}34$ Points$]$

$$

PRACTICE ANOTHER

Find the exact extreme values of the function

$z=f(x,y)=42x+13y+50$

subject to the following constraints:

$y0$

$y9-x^2$

Complete the following:

Note that since this is a closed and bounded feasibility region, we are guaranteed both an absolute maximum and absolute minimum value of the function on the region.

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