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For a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds.
Cost: C² = x² + 106 squareroot x +51
Revenue: 900(x - 3)² + 28R² = 17,500
Find the marginal cost dC/dx at x = 3.
The marginal cost is estimated to be
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Sagot :