lolabizzer
17.09.2019 •
Mathematics
The relationship between the selling price of an item and the cost of an item has been determined to be q=-20s+400 has been determined by a marketing firm, where q is the quantity sold in a year and s is the selling price. if the cost to produce the item is $12, what is the selling price that optimizes the year yearly profit?
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Ответ:
q = -20s + 400
The selling price is 's'. So, the profit can be represented by:
P = qs - q(12)
Subsituting:
P = (-20s + 400)s - 12 (-20s + 400)
P = -20s^2 + 640s - 4800
To optimize this, we must differentiate the equation and equate it to zero, so:\
dP/ds = -40s + 640 = 0
Solving for s,
s = 16
So, the selling price should be $16 to optimize the yearly profit.
Ответ:
=36i
Thats it