A popular video game retailer develops apps. The total profit, in dollars per day, after x days can be modeled by the function R(x) = 2x^3 - 20x^2 + 26x + 48. The total
cost, in dollars per day, after x days, can be modeled by the function A(x) = x^2 - 2x - 3. After how many days does the retailer start making money?
8
16
32
64

2 answers

Question:

A popular video game retailer develops apps. The total profit, in dollars per day, after x days can be modeled by the function R(x) = 2x^3 - 20x^2 + 26x + 48. The total
cost, in dollars per day, after x days, can be modeled by the function A(x) = x^2 - 2x - 3. After how many days does the retailer start making money?
8
16
32
64

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 + 48At, x = 8 R(8) = 2(8³) - 20(8²) + 26(8) + 48 = 0At, x = 9R(9) = 2(9³) - 20(9²) + 26(9) + 48 = 120At x = 16 ;R(16) = 2(16³) - 20(16²) + 26(16) + 48 = 3536At 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. Learn more :https://brainly.com/question/16866047

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