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Below are the supply and demand equations for stereo headphones in a certain market. in these equations, p represents price, d represents demand, and s represents supply. d = startfraction negative 5 over 9 endfraction p 94 s = 3 p minus 160 what is d at the point of equilibrium, to the nearest whole number? a. 151 b. 104 c. 71 d. 54

Sagot :

MrRoyal

The value of d at the point of equilibrium, to the nearest whole number is 54

How to determine the value of d at equilibrium?

The equations are given as:

[tex]d = \frac{-5}{9}p + 94[/tex]

[tex]s = 3p - 160[/tex]

At the point of equilibrium, d = s.

So, we have:

[tex]\frac{-5}{9}p + 94 = 3p - 160[/tex]

Multiply through by 9

-5p + 846 = 27p - 1440

Collect like terms

27p + 5p = 1440 + 846

Evaluate the sum

32p = 2286

Divide through by 32

p = 71.4375

Substitute p = 71.4375 in [tex]d = \frac{-5}{9}p + 94[/tex]

[tex]d = \frac{-5}{9} * 71.4375 + 94[/tex]

Evaluate

d = 54.3125

Approximate

d = 54

Hence, the value of d at the point of equilibrium, to the nearest whole number is 54

Read more about point of equilibrium at:

https://brainly.com/question/517289

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