An office supply company manufactures and sells X permanent markers per year at a price of P €/unit.

The Price/Demand equation for the markers is: equation.pdf

Write the Revenues function
What level of production and what price should the company charge for the markers to maximise revenues?
The total cost of manufacturing is: equation_1.pdf
Write the Company’s Profit function
What level of production and what price should the company charge for the markers to maximize profits?
Draw a graph representing the above-mentioned situation
Now the Government decides to tax the Company in 3€ for each marker produced. Taking into account this additional cost:

Write the company’s new Cost function
Write the company’s new Profit function
What level of production and what price should the company charge for the markers to maximize profits (with these new conditions)?