Ex: Derivative Application - Maximize Profit

This video explains how to use calculus techniques to maximize profit given the revenue and cost functions.

[OrchidKiller]

Thank you so much! I wish my teacher could explain things the way you do.

[tobiaschapinda]

A Mr. Malama wants to sell cheese. After a fixed set-up cost of k250, he can produce the cheese at a cost of k9 per kilogram. He is able to produce up to 400 kg, but he plans to take advance orders and produce only what he can sell. His market research suggests that the amount he would be able to sell depends on the price in the following way: the amount decreases proportionally with the price; if he charged k20 per kg he would not sell any, and if the cheese was free he would ‘sell’ the maximum 400 kg that he could produce. What price per kilogram should the farmer set in order to maximize his profit?

[Iddy]

so what if the question asks you:

A car company hasnt taxed their sales until 2020 where they had a board meeting discussing weather or not to add a 15% tax to every car above 60000usd or add a 25% tax to highest sales point of the part that is

How would you then draw the graph on geogebra and determine if the graph is continual or discontiunal and how do you choose the best option for your company in order to win the most?

And yes this is an exercise in my textbook that i've been stuck on because I dont know how to use this information to even draw the graph. I am supposed to use floor(x) command on geogebra.

[foskilala]

you are very good. very very good. thank you.

[ruubern]

nice thanks alot! was really easy to understand :)

[alexconstantine]

Very clear and easy to understand, thanks!