7. 4. A firm's marginal cost and revenue functions are given by MC- 12e + 16a + 20 MR = 100 -29 a. Rewrite the above equations as first order differential equations. b. If the firm's total costs are 3360 when output q 10 and its total revenue is 0 when a =0, Solve the ODES to find the firm's total cost and total revenue functions. C. Hence derive the firm's fixed costs.

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