Final answer:
The maximum revenue occurs when x is approximately 254.29.
Step-by-step explanation:
The revenue function is given by R(x) = 356x - 0.7x^2.
To find the maximum revenue, we need to determine the value of x that maximizes R(x). The maximum revenue occurs at the vertex of the parabola represented by the function.
The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of the x^2 and x terms, respectively. In this case, a = -0.7 and b = 356. Plugging in these values, we get:
x = -356/(2*(-0.7)) = 356/1.4 = 254.29 (rounded to two decimal places).
Therefore, the maximum revenue occurs when x is approximately 254.29.