An office supply company manufactures and sells X permanent markers per year at a price of P E/unit. The Price/Demand equation for the markers is: P = 15 - 0.001X 1- Write the Revenue function (10%) 2- What level of production should the company adopt and what price should the company charge for the markers to maximize revenues? (10%) The total cost of manufacturing is: C(X) = 4,500 + 2X 3- Write the company's Profit function (10%) 4- What level of production should the company adopt and what price should the company charge for the markers to maximize profits? (10%) 5- Draw a graph representing the company's Cost and Profit functions (30%) Now the Government decides to tax the company in 3E for each marker produced. Considering 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 should the company adopt and what price should the company charge for the markers to maximize profits (with these new conditions)? (10%)