The value of p at the point of equilibrium, where supply and demand are equal, is 43.3 (the nearest tenth).
<h3>What is
equilibrium point of supply and
demand?</h3>
The equilibrium point of supply and demand is the point where, the value of demand of a product is exactly equal to the value of supply of that product.
The supply and demand equations for blenders in a certain market is given as,
![D=\dfrac{-5}{8}p+35](https://tex.z-dn.net/?f=D%3D%5Cdfrac%7B-5%7D%7B8%7Dp%2B35)
![S=\dfrac{6}{5}p-44](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7B6%7D%7B5%7Dp-44)
Here, in these equations, p represents price, D represents demand, and S represents supply.
At the point of equilibrium, the supply and demand are equal. Therefore,
![D=S\\\dfrac{-5}{8}p+35=\dfrac{6}{5}p-44](https://tex.z-dn.net/?f=D%3DS%5C%5C%5Cdfrac%7B-5%7D%7B8%7Dp%2B35%3D%5Cdfrac%7B6%7D%7B5%7Dp-44)
Solve it further to get the value of p as,
![\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\p=\dfrac{3160}{73}\\p\approx43.3](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B5%7Dp-%5Cdfrac%7B-5%7D%7B8%7Dp%3D35%2B44%5C%5C%5Cdfrac%7B6%7D%7B5%7Dp-%5Cdfrac%7B-5%7D%7B8%7Dp%3D35%2B44%5C%5Cp%3D%5Cdfrac%7B3160%7D%7B73%7D%5C%5Cp%5Capprox43.3)
Hence, the value of p at the point of equilibrium, where supply and demand are equal is 43.3 (the nearest tenth).
Learn more about the equilibrium point of supply and demand here;
brainly.com/question/1915798