Answer:
The number of cellphones to be produced per week is 500.
The cost of each cell phone is $250.
The maximum revenue is $1,25,000
Explanation:
We are given the following information in the question:
The weekly price-demand equation:

The cost equation:

The revenue equation can be written as:

To find the maximum value of revenue, we first differentiate the revenue function:

Equating the first derivative to zero,

Again differentiating the revenue function:

At x = 500,

Thus, by double derivative test, R(x) has the maximum value at x = 500.
So, the number of cellphones to be produced per week is 500, in order to maximize the revenue.
Price of phone:

The cost of each cell phone is $250.
Maximum Revenue =

Thus, the maximum revenue is $1,25,000