Question

El costo variable de fabricar una calculadora es de $2 y los costos fijos son de $105.

a. Determina la función lineal del costo total por fabricar x calculadora al día.
b. ¿Cuál es el costo por fabricar 50 calculadoras al día?

Answer 1

a.
`c(x) = 2x + 105`

b.
`c(50) =\$205`

Explanation:

The variable cost of $ 2 implies that for each manufactured calculator the total cost increases $ 2.

The fixed cost of $ 105 implies that regardless of the number of manufactured calculators there will always be a cost of $ 105.

If we call x the number of manufactured calculators then the total cost c(x) will be:

`c(x) = 2x + 105`

Then, the cost of manufactured 50 calculators a day is:

`c(50) = 2(50) + 105`

`c(50) = 100 + 105`

`c(50) =\$205`