Step-by-step explanation:
We find the stationary point of (20 + 2x)(1200 - 60x),
where x is the unit rate of increase/decrease.
d/dx [(20 + 2x)(1200 - 60x)]
= d/dx (-120x² + 1200x + 24000)
= -240x + 1200.
When d/dx [(20 + 2x)(1200 - 60x)] = 0,
We have -240x + 1200 = 0. => x = 5.
Price per shirt that maximise revenue
= $20 + $2x = $20 + $2(5) = $30.
Maximum revenue
= (20 + 2(5))(1200 - 60(5))
= $30 * 900 = $27,000.
<h3>
Answer: 120</h3>
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Explanation:
There are 5 choices for the first selection, 4 choices for the second, etc etc until we reach 1 for the last selection. We have the countdown {5,4,3,2,1}. We'll multiply those values together to get our answer.
5*4*3*2*1 = 120
This operation of starting with some integer, counting down and multiplying along the way, is done so very often that it's given a name which is "factorial". The shorthand notation is to use an exclamation mark. So we'd say 5! = 120
The answers are the following
1. B
2. A
3. B
4. A
Answer:
a²- b²=(a+b)(a-b)
a² + b²=(a+b)²-2ab or (a-b)²+2ab
(a + b)³=a³+3a²b+3ab²+b³ or, a³+b³+3ab(a+b)
Answer:
z = 1
Step-by-step explanation:
12/16 = 3z/4
=> 12 x 4/16 = 3z
=> 3z = 12 x 4/16
=> 3z = 12 x 1/4
=> 3z = 3
=> z = 1
