The table below represents the cost function of a poultry farm. The price of a crate of egg is $21. Use the information contained in the table to answer the questions that follow. 
 

Quantity of eggs (in crates)	Total cost (in $)
0	50
1	55
2	62
3	75
4	96
5	125
6	162
7	203
8	248

(a) What Is the fixed cost of the farm? (2 marks]
(b)(i) Calculate the marginal cost at each level of output. [9 marks] 
(ii) What is the profit maximizing output of the farm? [3 marks]
(c) Draw the demand curve for the farm. [6 marks].