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:
Any equation of a line having a slope of 1/2.
Step-by-step explanation:
It appears that the question gives answer choices and this problem could have many solutions, but parallel lines have equal slopes. The slope of this line is 1/2 since it is in y=mx+b form where m is the slope. So a few examples of equations of lines parallel to the given equation would be y = 1/2x - 5 or y = 1/2x + 10 etc.
Step-by-step explanation:
3/5 of the book = 75 pages
5/5 of the book = 75 * (5/3) = 125 pages
Hence there are 125 pages in the whole book.
75° because they are alternate interior angles
Comparing the temperature of a coolant before and after use in a machining process.
Step-by-step explanation:
The temperature of a coolant in the polar region was found to be modeled by the equation t=(8x-55)° where t is the final fluid temperature after being used for cooling ,x is the time the fluid is applied on the cutting edge and -55 is the normal temperature of the fluids used for cooling processes in a machine garage.
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Integers :brainly.com/question/102082
Keyword : integer
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