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: = 15 0.001.

(Assume () = 0)

1- Write the Revenue function (10)

2- What level of production and what price should the company charge for the markers to maximize revenues? (10) Assume that the updated Cost Function is given as: () = 4,500 + 2 3- Write the Company's Profit function (10) 4- What level of production and what price should the company charge for the markers to maximize profits? (10) 5- Draw a graph representing the Company's Updated Cost and Profit Function (30) Now the Government decides to tax the Company in 3 for each marker produced. Taking into account this additional cost: 6- Write the company's new Cost function (10) 7- Write the company's new Profit function (10) 8- What level of production and what price should the company charge for the markers to maximize profits (with these new conditions)? (10)