Central Grocery in New Orleans is famous for its muffaletta, a large round sandwich filled with deli meats and topped with a tangy olive salad. Suppose the following table represents cost and revenue data for Central Grocery. Fill in the columns for TR, MR, MC, ATC, and profit. If Central Grocery wants to maximize profits, what price should it charge for a muffaletta, what quantity should it sell, and what will be the amount of its total profit?
Muffalettas Sold per Day | Price (P) | Total Revenue (TR) | Marginal Revenue (MR) | Total Cost (TC) | Marginal Cost (MC) | Average Total Cost (ATC) | Profit |
0 | $15 | $12 | |||||
1 | 14 | 18 | |||||
2 | 13 | 20 | |||||
3 | 12 | 21 | |||||
4 | 11 | 23 | |||||
5 | 10 | 26 | |||||
6 | 9 | 30 | |||||
7 | 8 | 35 | |||||
8 | 7 | 42 | |||||
9 | 6 | 52 | |||||
10 | 5 | 78 |
Muffalettas Sold per Day | Price (P) | Total Revenue (TR) | Marginal Revenue (MR) | Total Cost (TC) | Marginal Cost (MC) | Average Total Cost (ATC) | Profit |
0 | $15 | $0 | --- | $12 | --- | --- | -$12 |
1 | 14 | 14 | $14 | 18 | $6 | $18.00 | -4 |
2 | 13 | 26 | 12 | 20 | 2 | 10.00 | 6 |
3 | 12 | 36 | 10 | 21 | 1 | 7.00 | 15 |
4 | 11 | 44 | 8 | 23 | 2 | 5.75 | 21 |
5 | 10 | 50 | 6 | 26 | 3 | 5.20 | 24 |
6 | 9 | 54 | 4 | 30 | 4 | 5.00 | 24 |
7 | 8 | 56 | 2 | 35 | 5 | 5.00 | 21 |
8 | 7 | 56 | 0 | 42 | 7 | 5.25 | 14 |
9 | 6 | 54 | -2 | 52 | 10 | 5.70 | 2 |
10 | 5 | 50 | -4 | 78 | 26 | 7.80 | -28 |
To maximize profits, Central Grocery should produce the quantity where MR = MC, which is 6 muffalettas. The price is therefore $9, and the total profit is $54 - 30 = $24.