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iragen [17]
3 years ago
15

Below are the supply and demand equations for blenders in a certain market. In these equations, p represents price, D represents

demand, and S represents supply. D = StartFraction negative 5 over 8 EndFraction p 35 S = StartFraction 6 over 5 EndFraction p minus 44 What is p at the point of equilibrium, to the nearest tenth? a. 56. 0 b. 43. 3 c. 37. 4 d. 36. 7.
Mathematics
1 answer:
Reptile [31]3 years ago
3 0

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

S=\dfrac{6}{5}p-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

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

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

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