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:
Amplitude =1
Step-by-step explanation:
Given function is 
.
Now we need to find about what is the amplitude of the given function .
To find that let's compare given equation with standard equation 
. We get:
a=1
We know that amplitude of the function is given by the value of |a|.
Hence amplitude of the given function = |a|= |1|=1
Answer:
I need a picture of the question because you are missing some parts of the question.
Answer:
30 cups of flour
Step-by-step explanation:
Number of days for which Caroline baked bread = 5
Types of bread baked each day = 3
Number of cups of flour used for each recipe of bread = 2
=> Number of cups of flour used for 3 types of bread each day = 3 * (number of cups used / recipe) = 3 * 2 = 6 cups
=> Number of cups of flour used for 5 days = 5 * (number of cups of flours used per day) = 5*6 = 30
So Caroline used 30 cups of flour over 5 days.
The reciprocal of a fraction is only a whole number when
the numerator of the original fraction is ' 1 ' or a factor of
the denominator (original fraction is not in simplest form).
Any other time, the reciprocal of the fraction is another fraction.
(It'll be an improper fraction, and can be written as a mixed number.)
The reciprocal of a fraction is just the same fraction
turned upside down.
-- The reciprocal of 1/5 is 5/1 or just 5 .
(Original numerator is ' 1 '.)
-- The reciprocal of 5/25 is 25/5 or just 5 .
(Original fraction is not in simplest form.)
-- The reciprocal of 5/7 is 7/5 , or 1 and 2/5 .
