
word problem
The monthly demand model for a refrigerator is given by N = 8p + 20000. The monthly supply model for the same refrigerator is N = 10p + 4250. For these models, p is the price of the refrigerator and N is the number of refrigerators sold or supplied each month by the store. Find the price at which supply and demand are equal (breakeven point). At this price, how many refrigerators can be supplied and sold each month?
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Monthly demand: Nd = 8p + 20000.
Monthly supply: Ns = 10p + 4250
When the two are equal,
Nd = Ns
8p +20,000 = 10p +4,250
20,000 4,250 = 10p +8p
15,750 = 18p
p = 15,750 / 18
p = 875 ***
That means at breakeven point, the price per refrigerator is 875. (in dollars or whatever. Not mentioned in the problem.)

Substitute that in, say, Nd,
Nd = 8(875) +20,000 = 13,000
In Ns,
Ns = 10(875) +4,250 = 13,000 same, OK.
Therefore, at brakeeven point, 13,000 refrigerators have to be supplied and sold at 875 each.