On a particular production line, the likelihood that a light bulb is defective is 10%. seven light bulbs are randomly selected.
1 answer:
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The number of cows is given by
So, after years, the number of cows will be
We want this number to be twice as much as the original:
First of all, we can cancel 14 from both sides:
Finally, on the right hand side, we can use the exponent rule
to get
To solve this equation, we must impose that the two exponents are the same:
And clearly this is true if and only if . So, it will take 5 years for the cow heard to double in number.
You can do the exact same steps to find the doubling time for the sheeps.
Answer:
1) Price decrease = $4; 2) new price = $20; 3) maximum revenue = $50 000
Step-by-step explanation:
The hospital sold 2000 tickets for $24 each
Revenue = price per ticket × number of tickets sold
Let x = change in price
New price = 24 - x
New number of tickets sold = 2000 + 125x
1) Calculate change in price to maximize revenue
y = (24 - x)(2000 + 125x)
y = 48 000 + 1000x - 125x²
y = -125x² + 1000x + 48 000
a = -125; b = 1000; c = 48 000
The vertex is at
A price decrease of $4 will maximize revenue.
2) New ticket price
Original price = $24
Price change = <u> - 4 </u>
New price = $20
A ticket price of $20 will maximize revenue.
3) Maximum revenue
Ticket price = $20
No of tickets sold = 2000 + 125(4) = 2000 + 500 = 2500
Revenue = 2500 × $20 = $ 50 000
The maximum revenue is $50 000.
The graph below slows the relation between the price drop and total revenue. A price drop of $4 results in a maximum revenue of $50 000.
