In Question 1 can you show to get equations for P, MR,MC, ATC,& AVC?

You are given the following data for your firm, which sells the only toothpick maker for at- home use (called "You CAN handle the tooth(pick)" C). 40 60 70 80 100 $39.80 $37.30 $34.80 $32.30 $29.80 $27.30 $24.80 $22.30 $19.80 $17.30 $14.80 $400.00 $546.00 $692.00 $850.00 $1,032.00 $1,250.00 $1,516.00 $1,842.00 $2,240.00 $2,722.00 $3,300.00 b. c. d. Dete mine equations Q2)_ Recall diat your marginal equations should be derivatives of your totals! Determine the profit-maximizing price and quantity _ (Smce MC is in terms of Q2, solving with calculus and algebra can be messy _ Your table should give an exact answer.) How much total profit would your firm earn ifyou set P and Q according to part b? Describe the competitiveness of the market by calculating the Lerner index.