900 = 2 · 2 · 3 · 3 · 5 · 5
Next numbers:
2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 5 = 900 · 15 = 13,500
2 · 2 · 2 · 2 · 3 · 3 · 3 · 3 · 5 · 5 · 5 · 5 = 13,500 · 15 = 202,500
202,500 · 15 = 3,037,500
3,037,500 · 15 = 45,562,500
....
Without calculating, you can immediately see the absolute value sign, which implies that the final result (x) should be positive, not negative.
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<span><span>The price p and quantity x sold of a small flat screen television set obeys the demand equation below.
p= - .14x+280
:
a. How much should be charged for the television set if there are 60 television sets in stock? Round to nearest cent
p = -.14(60) + 280
p = -8.4 + 280
p = $271.60
:
b. What quantity x will maximize revenue?
Rev = qty * price
R(x) = x(-.14x+280)
R(x) -.14x^2 + 280x
The axis of symmetry is the qty for max revenue;x = -b/(2a)
x =
x = + 1000 tv's for max rev
:
What is the maximum revenue?
rev = -.14(1000^2) + 280(1000)
rev = -140000 + 280000
rev = $140,000
:
:
c. What price should be charged in order to maximize revenue?
p = -.14x + 280
p = -.14(1000) + 280
p = -140 + 280
p = $140</span><span>
</span></span>
Answer:
D
Step-by-step explanation:
