ANSWER:
122
STEP-BY-STEP EXPLANATION:
We calculate the equilibrium pointt by equating both functions, we solve for x, and for that value of x we replace in each function and that value is the equilibrium point.
Just like that:
[tex]0.80x\: +\: 58=\: -0.50x\: +\: 162[/tex]We solve for x:
[tex]\begin{gathered} 0.80x+0.50x=162-58 \\ 1.3x=104 \\ x=\frac{104}{1.3} \\ x=80 \end{gathered}[/tex]Therefore, the equilibrium point would be:
[tex]\begin{gathered} p=0.80\cdot80\: +\: 58=64+58=122 \\ \: p=-0.50\cdot80+\: 162=-40+162=122 \end{gathered}[/tex]The equilibrium point is 122
