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maria [59]
3 years ago
13

The dollar price for a barrel of oil sold at a certain oil refinery tends to follow the demand equation below, where x is the nu

mber of barrels of oil on hand (in millions). ​
(Each question is individual. NOT MULTIPLE CHOICE.)
a) How much should be charged for a barrel of oil if there are 9 million barrels on ​ hand?
​b) What quantity x will maximize​ revenue? ​
c) What price should be charged in order to maximize​ revenue?

p = - 1/10 x + 74
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0
<span>p= -1/10x+74
</span><span>we can write this as
p = -.10x + 74
</span><span>a) How much should be charged for a barrel of oil if there are 9 million barrels on ​ hand?
</span>p = -.10(9) + 74=73.1 a barrel
<span>​b) What quantity x will maximize​ revenue?
</span><span>r(x) = x(-.10x + 74)
r(x) = -.10x^2 + 74x
</span><span>Find the axis of symmetry of this equation x = -b/(2a)
</span>x = -74/(2*(-0.10))=370<span>x = 370 million barrels

</span><span>c) What price should be charged in order to maximize​ revenue?
</span><span>p = -.10(370) + 74
p = -37 + 74
p = $37 a barrel</span>
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