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: p = 3 - 0.001X 1- Write the Revenues function (10%) 2- What level of production and what price should the company charge for the markers to maximize revenues? (10%) The total cost of manufacturing is: C(2) = 1500 + 2x 3- Write the Company's Profit function (10%) What level of production and what price should the company charge for the markers to maximize profits? (10%) 5- Draw a graph representing the above-mentioned situation (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%)