Economics—Revenue Function: The ForeLink Company has determined that the revenue for the s...

Economics—Revenue Function: The ForeLink Company has determined that the revenue for the sale of its Junior Pro golf clubs is given by

 R(x) = 200x − x2 0 ≤ x ≤ 200

where x represents the number of golf clubs produced and sold and R(x) represents the revenue in dollars.

(a) Evaluate R(50) and R(150), and interpret each.

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(b) Compute R′(x) using the definition of derivative, where .

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(c) Use the result of part (b) to determine R′(50) and R′(150) and interpret each using appropriate units.