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:
600
Step-by-step explanation:
Answer:
it is
Step-by-step explanation:
1 is 2000
2 is 1679591
3 is (x over 2 +4 )(x+2) (x-2)
Answer:
3y + 2
Step-by-step explanation: add like terms
Answer:
121 degrees.
Step-by-step explanation:
If the angle is x degrees then its supplement is 180-x degrees.
So we have the equation:
x = 2(180-x) + 3
x = 360 - 2x + 3
3x = 363
x = 121.
