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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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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.
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| Start determine the slope coefficient m. |
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It is the ratio of increment of y (the number of refrigerators) to the increment of unit price
m = = = use your calculator = 66 = 66.666...
So, the function is
y - 2000 = 66.666*(x-330). (1)
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| Now I am in position to answer the questions. |
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(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. ANSWER
(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 = = 300 dollars. ANSWER
At the price of $300, the producer will stop making refrigerators.
Solved.
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