Tesla estimates that its profit expressed in thousands of dollars each month is given by the expression: -6q² + 30q + 3210 where q (in thousands) is the number of cars produced and sold in a month. Determine the following: a. If Tesla's cost function is C(q) = 3210, state Tesla's variable cost per car. b. If Tesla wishes to make a profit greater than $2,910,000, calculate and state the interval of value(s) for which this goal can be achieved.

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