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A franchise coffee shop opens operations in a new suburb. Based on the franchise experience, it is expected that the shop will only become profitable

A franchise coffee shop opens operations in a new suburb. Based on the franchise experience, it is expected that the shop will only become profitable after a certain time period. The following function models the monthly profit, P, in 1000 dollar increments as a function of t, the number of months after the shop opens. The graph of this function is also depicted above. P(t)=2 squareroot 2t+4-51. What are the (coordinates) of the curve where the profit is $4000.2. Determine algebraically when the shop is making a clear profit of $3000 monthly. What month would that be?

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