SOLUTION: the profit P in dollars gained by selling x computers is modeled by the equation p(x)=5x2+1000x+5000. how many computers must be sold to obtain a profit of 55,000.00 what is the op
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Question 1151082: the profit P in dollars gained by selling x computers is modeled by the equation p(x)=5x2+1000x+5000. how many computers must be sold to obtain a profit of 55,000.00 what is the optimal number of computers to sell to earn the maximum profit
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
to obtain a profit of , substitute given in formula above
......solve for
...simplify
...use quadratic formula
...simplify
.........since represents he optimal number of computers, disregard negative root
the optimal number of computers to sell to earn the maximum profit is rounded to whole number
check:
->less because rounding (we cannot sell fraction of it)
what is the optimal number of computers to sell to earn the maximum profit?
your function does not have a maximum (no global maxima found)
Answer by ikleyn(52925) (Show Source): You can put this solution on YOUR website!
.
In part, related to a "maximum profit", the formulation of your problem is W R O N G.
I think that the error is in the formula for the polynomial p(x).
Twice and thrice check it (!)
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