Math test question I just did.

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Homework Help Overview

The discussion revolves around finding the equilibrium quantity (q) and market clearing price (p) for given supply and demand functions. The supply function is expressed as p = 8q/(q + 50) and the demand function as p = (3q + 630)/(q + 30), both with the condition that q > 0.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of the supply and demand equations, particularly the use of parentheses for clarity. There are questions about the simplification of the equations and the correct representation of the functions. Some participants confirm their calculations of equilibrium values, while others express uncertainty about the correctness of their answers based on textbook references.

Discussion Status

There is an ongoing examination of the equations, with some participants confirming their calculations of q and p. Clarifications have been made regarding the formatting of the equations, and some participants express relief at finding agreement on their results. However, there is no explicit consensus on the final values as discrepancies with textbook answers are noted.

Contextual Notes

Participants are navigating potential errors in the original problem statement and discussing the implications of these errors on their calculations. The context includes concerns about previous incorrect answers found in a textbook, which adds to the uncertainty in confirming their results.

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Homework Statement


find the equilibrium value of q and the market clearing price p for each of the supply and demand functions. sketch the graph.
p= 8q/q+50, q+50 , q> 0 (supply)

p=3q+630/q+30, q>0 (demand)

Homework Equations


3. The Attempt at a Solution [/b

okay so I worked this out on the test to be:

q=150 and p=$6

I know how to do the graph. but this same question is in my book where a lot of answers have been wrong and it says q=92.8 and p=5.20.

So I just want to have this answer confirmed thanks.
 
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davie08 said:

Homework Statement


find the equilibrium value of q and the market clearing price p for each of the supply and demand functions. sketch the graph.



p= 8q/q+50, q+50 , q> 0 (supply)

p=3q+630/q+30, q>0 (demand)
Is your supply equation p = 8q/(q + 50)? If so, USE PARENTHESES! What you wrote simplifies to p = 8 + 50 = 58, and I don't think that's what you meant.
Also, why does q + 50 appear twice?

In your demand equation, is it p = 3q + (630/q) + 30?
If not, USE PARENTHESES so that we can tell what you mean.
davie08 said:

Homework Equations





3. The Attempt at a Solution [/b

okay so I worked this out on the test to be:

q=150 and p=$6

I know how to do the graph. but this same question is in my book where a lot of answers have been wrong and it says q=92.8 and p=5.20.

So I just want to have this answer confirmed thanks.
 
Mark44 said:
Is your supply equation p = 8q/(q + 50)? If so, USE PARENTHESES! What you wrote simplifies to p = 8 + 50 = 58, and I don't think that's what you meant.
Also, why does q + 50 appear twice?

In your demand equation, is it p = 3q + (630/q) + 30?
If not, USE PARENTHESES so that we can tell what you mean.


sorry its p=8q/(q+50) for supply

and p=(3q+630)/(q+30) for demand
 
Much better.

I get q = 150, too.

Good job!
 
thanks that's a relief I feel like I should definitely be over 80% for this test, and I'll need that because the next unit is everyone's favorite derivatives.
 

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