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A gourmet bottled tea drink manufacturer has found that the cost to produce 150 cases of...

A gourmet bottled tea drink manufacturer has found that the cost to produce 150 cases of bottled tea is $10,000 while it costs $13,150 to produce 325 cases of bottled tea.

a. Find the linear cost function, C(x) where x is the number of cases of bottled tea.

b. If the revenue function for selling x cases of teach is R(x) = 40x, how much does each case of bottled tea sell for?

c. How many cases of bottled tea do they need to sell each month to break even? Round appropriately. Include correct units.

d. If the profit was $1714, how many cases were sold?

*Please explain how you got the answer and show the work, that would be very helpful!*

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