The video game retail company started making profit from sales after 8 days as obtained from the profit function given.
Using the profit function given, we could use the trial by error method to obtain when he started making profit.
The profit function :
R(x) = 2x³ - 20x² + 26x + 48
At, x = 8
R(8) = 2(8³) - 20(8²) + 26(8) + 48 = 0
At, x = 9
R(9) = 2(9³) - 20(9²) + 26(9) + 48 = 120
At x = 16 ;
R(16) = 2(16³) - 20(16²) + 26(16) + 48 = 3536
At x = 32 ;
R(32) = 2(32³) - 20(32²) + 26(32) + 48 = 45936
From the profit values obtained, we could see that, profit made after 8 days is 0 ; and the profit made after 9 days is 120
Hence, we could conclude that, the retail company started making profit after 8 days where the profit value is Zero.
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