If revenues from selling quantities x and y of jointly produced goods X and Y were TR_X = 300 - xy + 50x and TR_Y = 1,000 - xy + 2y,and 10 units of y were produced,then marginal revenue with respect to X would be:

Question

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The marginal revenue with respect to X (MRx) is found by differentiating the total revenue function for good X (TR_X) with respect to x. Given TR_X = 300 - xy + 50x, the derivative with respect to x is MRx = d(300 - xy + 50x)/dx = -y + 50. Since 10 units of y were produced, substituting y = 10 gives MRx = -10 + 50 = 40. However, the correct mathematical operation leads to MRx = $40, which corresponds to option D, not C. My initial statement was incorrect; the correct answer is D, not C.

If Revenues from Selling Quantities X and Y of Jointly