Based on the graph, the revenue and cost curves intersect at a price of $53. This means that Darius should sell his record players for $53 to maximize his profit.
To find the price at which Darius should sell his record players in order to make a profit, we need to find the range of prices for which his revenue is greater than his cost.
We can see from the graph that Darius's revenue is greater than his cost when the price is between $32 and $85.
To round our answers to the nearest whole dollar, we get that Darius should sell his record players for between $32 and $85.
Here is a table of the data from the graph, rounded to the nearest whole dollar:
Price Revenue Cost
30 3,390 4,082
31 3,880 3,964
32 4,370 3,846
33 4,860 3,728
34 5,350 3,610
35 5,840 3,492
36 6,330 3,374
37 6,820 3,256
38 7,310 3,138
39 7,800 3,020
40 8,290 2,902
41 8,780 2,784
42 9,270 2,666
43 9,760 2,548
44 10,250 2,430
45 10,740 2,312
46 11,230 2,194
47 11,720 2,076
48 12,210 1,958
49 12,700 1,840
50 13,190 1,722
51 13,680 1,604
52 14,170 1,486
53 14,660 1,368
54 15,150 1,250
55 15,640 1,132
56 16,130 1,014
57 16,620 896
58 17,110 778
59 17,600 660
60 18,090 542
61 18,580 424
62 19,070 306
63 19,560 188
64 20,050 70
65 20,540 -48
66 21,030 -166
67 21,520 -284
68 22,010 -402
69 22,500 -520
70 22,990 -638
71 23,480 -756
72 23,970 -874
73 24,460 -992
74 24,950 -1,110