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10/17/2023 · Senior High School

4) Una fábrica de partes para juguetes estima que el costo total, en pesos, de producir \( x \) unidades de un prototipo está dado por \[ C(x)=0,01 x^{2}+0,005 x+300 \] a. Calcula la función de costo marginal b. Emplea la función de costo marginal para calcular el costo de fabricar b. Calcula el error absoluto y relativo que se comete en la aproximación c. que da el costo marginal de la unidad 1100 .

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La función de costo marginal es \( C'(x) = 0,02 x + 0,005 \). El costo de fabricar la unidad 1100 es aproximadamente 22,005 pesos. El error absoluto es 80.01 pesos y el error relativo es aproximadamente 0.645%.

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