BCO 116 ELEMENTARY CALCULUS Task brief & rubrics Second Assesment

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: ?? = 10 ? 0.001??

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: ??(??) = 5000 + 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 above-mentioned situation (30%)

Now the Government decides to tax the Company in 2€ 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%)

The task is individual The deliverable has to be a report showing the formulas and the steps you are following The weight is equivalent to 1/3rd of the whole course The report has to be delivered in Turnitin before 22th November 2020 at 23h 59