Question

The marginal cost based on the units produced x is given by the function Cm(x)= 1064-0.005x. If the fixed cost is 16.3, find the total cost when 20 units are produced.

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Answer to a math question The marginal cost based on the units produced x is given by the function Cm(x)= 1064-0.005x. If the fixed cost is 16.3, find the total cost when 20 units are produced.

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Seamus
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Para encontrar el costo total cuando se producen 20 unidades, debemos considerar tanto el costo fijo como el costo variable. El costo variable viene dado por la función de costo marginal Cm(x) = 1064 - 0,005x, donde x representa el número de unidades producidas. En este caso, x = 20. Primero, calculemos el costo variable de producir 20 unidades: cm(20) = 1064 - 0,005 * 20 = 1064 - 0,1 = 1063,9 El costo variable de producir 20 unidades es 1063,9. A continuación, sumaremos el costo fijo al costo variable para obtener el costo total: Costo Total = Costo Fijo + Costo Variable = 16,3 + 1063,9 = 1080,2 Por tanto, el coste total cuando se producen 20 unidades es 1080,2.

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