A manufacturer determines that the number of drills it can sell is given by the formula D=-3p^2+180p-280, where p is the price of the drills in dollars.
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a. At what price will the manufacturer sell the maximum number of drills?
b. What is the maximum number of drills that can be sold?
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Understood but i am still confused....
on this question.... i keep trying to get a. but it always turns out to be 84. here are the answer choices $30; 2,420 drills
$90; 8,380 drills
$60; 280 drills
$32; 2,427 drills
What do you get with p = 180/ 6 = ...?
u can use differentiation to obtain the results
on differentiating u have
at this value of p the above expression may be maximum or minimum
to check u differentiate (the result once more)
now it stands -6
thus at p=30 the second ordr differentiation is
and hence at p=30, D is amximum
in order to obtain the max value of D use p=30 in D
hope rest u get it...
Okay i got $30; 2,420 drills
Is this correct for both questions?
Does it take you 16hrs to plug 30 into the equation ?