Question 1188052
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Producer will make 2,000 refrigerators available when the unit price is $330. 
At a unit price of $390, 6,000 refrigerators will be marketed.
A) How many refrigerators will be marketed when the price is $450 ?
B) At or below what price will a refrigerator not be marketed ?
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<pre>
They want you create a linear function of the form

    y = mx + b,

expressing the number of produced refrigerators y as the function of unit price x.


     +----------------------------------------------+ 
     |   Start determine the slope coefficient m.   |
     +----------------------------------------------+ 



It is the ratio of increment of y (the number of refrigerators) to the increment of unit price

    m = {{{(6000-2000)/(390-330)}}} = {{{4000/60}}} = use your calculator = 66 {{{2/3}}} = 66.666...



So, the function is 

    y - 2000 = 66.666*(x-330).      (1)


     +--------------------------------------------------+ 
     |   Now I am in position to answer the questions.  |
     +--------------------------------------------------+ 



(A)  To answer this question, simply substitute x= 450 into the formula.  You will get

         y - 2000 = 66.666*(450-330) = 66.666*120 = 8000


     which gives  y = 8000 + 2000 = 10000  refrigerators.    <U>ANSWER</U>




(B)  In the formula (1), we should place y = 0 and find the corresponding value of x.

     You have then


         0 - 2000 = 66.666*(x-330)

         66.666x - 66.666*330 = - 2000

         66.666x = -2000 + 66.666*330 = 19999.78

         x = {{{19999.78/66.666}}} = 300  dollars.    <U>ANSWER</U>


      At the price of $300, the producer will stop making refrigerators.
</pre>

Solved.


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