Producers will make 2000 refrigerators available when the unit price is $420. At a unit price of $460, 6000 refrigerators will be marketed. Find the equation relating the unit price p of a refrigerator to the quantity supplied x if the equation is known to be linear.p =  How many refrigerators will be marketed when the unit price is $500?refrigeratorsAt what price will suppliers be unwilling to market refrigerators?   At a unit price of $450, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $580, the quantity demanded decreases by 13 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds.p =  At what price are no consumers willing to buy this commodity?$ According to the above model, how many pounds of this commodity would consumers take if it was free?pounds

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Asked Sep 5, 2019
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Producers will make 2000 refrigerators available when the unit price is $420. At a unit price of $460, 6000 refrigerators will be marketed. Find the equation relating the unit price p of a refrigerator to the quantity supplied x if the equation is known to be linear.
p =

 
 



How many refrigerators will be marketed when the unit price is $500?
refrigerators

At what price will suppliers be unwilling to market refrigerators?

 

 

 

At a unit price of $450, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $580, the quantity demanded decreases by 13 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds.
p =

 
 



At what price are no consumers willing to buy this commodity?
$

According to the above model, how many pounds of this commodity would consumers take if it was free?
pounds

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Expert Answer

Step 1

For x = 2000, p = $420 and for x = 6000, p= $460.

Equation is,

х — х,
р-р
Р. — Р.
х, —х
х - 2000
р-420
460 420 6000-2000
р-420 х- 2000
40
4000
1
(х - 2000) + 400
р3
100
х
+400
100
р-
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Image Transcriptionclose

х — х, р-р Р. — Р. х, —х х - 2000 р-420 460 420 6000-2000 р-420 х- 2000 40 4000 1 (х - 2000) + 400 р3 100 х +400 100 р-

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Step 2

When p = $500,

+400
100
500=
x (500 400)100
x 100x 100 10,000
For the unit price of $500, 10,000 refrigerators has been marketed
Atx 0
0
+400
100
p= 400
For the price of $400, the suppliers are unwilling to market
the refrigerators
help_outline

Image Transcriptionclose

+400 100 500= x (500 400)100 x 100x 100 10,000 For the unit price of $500, 10,000 refrigerators has been marketed Atx 0 0 +400 100 p= 400 For the price of $400, the suppliers are unwilling to market the refrigerators

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Step 3

Demand equation can be given as y = ...

Demand equation
can be given as y = mx + c
450 580
Slope
13
-130
13
m -10
Obtain the value of c by substituting 75 and 450 for x and y, respectively
ymxc
450 (10)75+c
450 750c
c 450750
c 1200
Thus, the demand equation is p =-10x 1200
help_outline

Image Transcriptionclose

Demand equation can be given as y = mx + c 450 580 Slope 13 -130 13 m -10 Obtain the value of c by substituting 75 and 450 for x and y, respectively ymxc 450 (10)75+c 450 750c c 450750 c 1200 Thus, the demand equation is p =-10x 1200

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