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Question

When producing q units of an item the cost is 𝐶(𝑞) = 𝑚𝑞 + 330 dollars, each unit is sold at 50 dollars and the investment is recovered by producing and selling 11 units. Determine the value of my graph the cost, income and utility.

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Answer to a math question When producing q units of an item the cost is 𝐶(𝑞) = 𝑚𝑞 + 330 dollars, each unit is sold at 50 dollars and the investment is recovered by producing and selling 11 units. Determine the value of my graph the cost, income and utility.

Expert avatar
Hester
4.8
115 Answers
C(q) = mq + 330

\text{Ingreso}(q) = 50q

\text{Utilidad}(q) = \text{Ingreso}(q) - C(q) = 50q - (mq + 330) = (50 - m)q - 330

Al recuperar lo invertido, la utilidad es 0:

0 = (50 - m) \cdot 11 - 330

0 = 550 - 11m - 330

11m = 220

m = 20

Funciones:

C(q) = 20q + 330

\text{Ingreso}(q) = 50q

\text{Utilidad}(q) = 30q - 330

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