Question

Let's say an online retailer sells tablets. The demand (price) function is given by p(x)=500−18x, where...

Let's say an online retailer sells tablets. The demand (price) function is given by p(x)=500−18x, where x is the number of tablets produced sold and p(x) is the price per week, while the cost, in dollars per week to produce x tablets is given by C(x)=35000+120x. Based on this, answer the following questions:

1. Determine the Revenue Function.

2. Determine the number of tablets the retailer would have to sell to maximize revenue. What is the maximum revenue?

3. Determine the Profit Function.

4. Determine the number of tablets the retailer would have to sell to maximize profit. What would the maximum profit be?

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