The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation
p =42/0.03x^2 + 1 (0 ≤ x ≤ 20)
Find the revenue function R.
Well, to find the revenue function R, we have to multiply the unit price (p) by the quantity demanded (x). So, we'll take the equation you provided, p = 42/0.03x^2 + 1, and multiply it by x:
R = (42/0.03x^2 + 1) * x
Simplifying this expression, we get:
R = (42/0.03) * (x^2) + x
R = 1400x^2 + x
So, the revenue function R is given by R = 1400x^2 + x.
To find the revenue function R, we need to multiply the unit price (p) by the quantity demanded (x). Using the equation given, we have:
p = (42/0.03)x^2 + 1
We can substitute this value of p into the revenue function equation:
R = p * x
Replacing p with (42/0.03)x^2 + 1, we get:
R = ((42/0.03)x^2 + 1) * x
Expanding this equation, we have:
R = (42/0.03)x^3 + x
So, the revenue function R for the Sensitech laser gaming mice is:
R = (42/0.03)x^3 + x