Math  /  Calculus

QuestionDetermine the marginal cost from the cost function C(x,y)=240,000+6,000x+4,000yC(x, y) = 240,000 + 6,000x + 4,000y.

Studdy Solution
The derivative of a constant is zero, and the derivative of yy with respect to yy is1. Hence, the partial derivative of the cost function with respect to yy isCy=0+0+4,0001=4,000\frac{\partial C}{\partial y} =0 +0 +4,000 \cdot1 =4,000So, the marginal cost with respect to xx is ,000andwithrespectto,000 and with respect to yis is 4,000.

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