Let x denote the number of times at which price is increased by $5 for each magazine.
{Write an expression for the total revenue of company}
Let y denote the total revenue of the company,
y = (2000 - 200x) × ($40 + $5x)
{200x is the number of subscriptions being lost due to the price increases}
{$5x is the amount of increase in price of each magazine}
y = 2000($40) + 2000($5x) - 200x($40) - 200x($5x)
y = $80,000 + $10,000x - $8000x - $1000x^2
y = $80,000 + $18'000x - $1000x^2
{Since the coefficient of x^2 is (-1000), this graph is a sad face curve. This means the only stationary point on the curve is a maximum point}
{Differentiate y in terms of x}
dy/dx = $18,000 - $2000x
{dy/dx = 0 at stationary point, or when gradient = 0}
dy/dx = 0
$18,000 - $2000x = 0
$2000x = $18,000
x = 9 {dollar signs cancel out when they are divided}
Subscription price to attain maximum revenue should be: $40 + (9 × $5) = $95
Hope this helps!
Answer:
5 hours
Explanation:
75 + 25h = 40h
75 = 15h
h = 5
Answer:
because the teacher want to line up first the small students to big students.
Step-by-step explanation:
because in my school is like that we were line up
small to big students.
and hope it helps
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Answer:
Slope of path at time t = 4 is y '(4)/x '(4) = (-15cos(4) + 4cos(4) - 1 + sin(4))/(6 - 2sin(4))
--------------------
When horizontal position is 60:
2 + 6t + 2cos(t) = 60
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sample mean 
is a point estimate of the population mean μ.
Given the heights of the 6 tomato plants sample below:
55.6, 59.4, 59.9, 62.9, 64.9, 69.2
Point Estimate,
