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Korolek [52]
3 years ago
10

A company plans to sell a new type of cleaner for $280 each. The estimated cost, y, of manufacturing the cleaners is a function

with a y-int of 11,000 and a vertex of (500, 24,000). How many must be sold for the company to make a profit?
Mathematics
1 answer:
Minchanka [31]3 years ago
4 0
Suppose x is sold, $280 each , and y is the total financial cost. The first equation in the system is then certainly y = 280x.

The vertex form  <span>y-k = a(x-h)^2 where (h,k) is the vertex, and y is the y-intercept.

So, plug the values in.
</span><span>11,000-24,000 = a(0-500)^2
-13,000=250,000a
a=-0.052

y-</span><span>24,000 = -0.052(x-500)^2
y= </span><span>-0.052(x-500)^2 + 24,000
This is the second equation in the system.

The answer is then A, which contain the system </span><span>of equations which can be used to determine must be sold for the company to make a profit.</span>
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