A few days ago
Can someone please help me with Calculus, i have a test tomorrow?
its a Demand Equation: The price, p , and the quantity, x, sold of a certain product obey the demand equation
x= -20p+5000 and , p, is greater than or equal to 0 and less than or equal to 25
a.) Express the revenue R as a function of x.
b.) What is the revenue if 20 units are sold?
c.) Graph the revenue function using a graphing utility
d.) what quantity x maximizes revenue? What is the maximum revenue
e.)what price should the company charge to maximize revenue?
Top 1 Answers
A few days ago
Favorite Answer
Quantity: x= -20p+5000
Price: p
a) Revenue = Quantity x Price = ( -20p+5000 )p =
-20p^2+ 5000p
b) -20(20^2) +5000(20) = 92000
d) dR/dx = -40p + 5000 = 0; p = 125.
Quantity = -20(125)+5000 = 2500
R = -20(125^2) +5000(125) = 312500
e) p =125
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