Please provide original answers.

The price-demand equation and the cost function for the production of TVs are given, respectively, by

= 8000 20 and () = 125000 + 40

where is the number of TVs that can be sold at a price of per TV and () is the total cost (in dollars) of producing TVs.

a. Graph the cost function and the revenue function on the same coordinate system by letting takes values in the interval you found in part (a). Then, find the break-even points, and indicate regions of loss and profit using intervals. (Please use excel or at least explain how we can use excel for this answer)

b. Find (4000) using the definition of the limit, and then interpret the result. Lastly, compare (4000), i.e. the marginal profit at 4000, with the actual change in profit by considering the difference (4001) (4000). What do you think? (Please use excel or at least explain how we can use excel for this answer)

c. Find (3500) and (4500) and interpret these quantities.