[The Competitive Equilibrium Model—Deriving Supply] Negar owns a trendy and sustainable shoe factory. The total cost of

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[The Competitive Equilibrium Model—Deriving Supply] Negar owns atrendy and sustainable shoe factory. The total cost of producing agiven number of pairs of shoes is displayed in the table below.Assume Negar can only produce the integer quantities of pairs ofshoes specified in the table.
Number of pairs
Total Cost
0
400
10
410
20
430
30
460
40
500
50
580
60
680
70
800
a. Calculate the marginal cost of producing each pair.
b. Draw the supply curve for Negar’s shoe factory.
c. Suppose the wholesale market for shoes that sell to retailstores is competitive, with a market price of $10 per pair (i.e.,$100 per 10 pairs). If Negar’s goal is to maximize profits, howmany pairs will she choose to sell?
d. What are Negar’s profits when she sells the number of pairsfrom (c) at the market price of $10?
e. Calculate Negar’s producer surplus given the price andquantity from part (c). How does this compare to the profitcalculated in part (d)? Briefly explain your answer.