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Math
Monday, 23 August 2010
Question #60 on Ch 4.1
Topic: Q60 on 4.1

Hello Class:

 

As promised, here is the response to question number 60.

 

Let x be the supply per pound, and p be the price per pound.

 

Now, from the question:

at $2.13 per bushel, the supply is 8.9 and the demand is 6.5.

 

So that translate to:

(x,p)  

for supply: (8.9, 2.13)  and for demand: (6.5, 2.13)

 

down to:$1.50 for supply 8.2, and demand 7.4.

for supply: (8.2,1.5) demand (7.4, 1.5)

 

Put all the supply coordinate together:

 

(8.9,2.13) and (8.2,1.5) 

 

Now, find the slope of the price supply:

 

m= (2.13-1.5) / (8.9-8.2)   = .9

 

Now use the point slope equation from math 130 or 110:

 

(y-2.13) =0.9(x-8.9)  solve interm of y:

 

y= .9x-5.88

 

Put all the price demand coordinate together:

 (6.5, 2.13) and (7.4,1.5)

find the slope of demand:

 m= (2.13-1.5) /(6.5-7.4) = -0.7

 

use the point slope formula:

(y-1.5) = -0.7(x-7.4)  and solve interm of y:

 

y= -.7x+6.68

 

I will present the graph in class.  Hope this answer your question.

 

 

 


Posted by logteng at 4:15 PM PDT
Updated: Monday, 23 August 2010 4:31 PM PDT
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