**Transcription for Educational Website:**---Consider the following cost function.a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x = a. c. Interpret the values obtained in part (b).\[ C(x) = 0.04x^3 + 0.4x^2 + 30x + 130, \quad 0 \leq x \leq 1500, \quad a = 1000 \]---**a.** The average cost function is $\overline{C}(x) = \, \boxed{} $.---(Note: This task requires calculating or inputting mathematical expressions or formulae. Ensure students are appropriately guided on how to derive and solve these expressions.)

We are given the total cost function which depends on the quantity whose range is also given. And…

Consider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x = a. c. Interpret the values obtained in part (b). C(x)=0.04x³ +0.4x² + 30x+130, 0≤x≤ 1500, a = 1000

Consider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x = a. c. Interpret the values obtained in part (b). C(x)=0.04x³ +0.4x² + 30x+130, 0≤x≤ 1500, a = 1000

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

**Transcription for Educational Website:**

---

Consider the following cost function.

a. Find the average cost and marginal cost functions.
b. Determine the average and marginal cost when x = a.
c. Interpret the values obtained in part (b).

\[ C(x) = 0.04x^3 + 0.4x^2 + 30x + 130, \quad 0 \leq x \leq 1500, \quad a = 1000 \]

---

**a.** The average cost function is $\overline{C}(x) = \, \boxed{} $.

---

(Note: This task requires calculating or inputting mathematical expressions or formulae. Ensure students are appropriately guided on how to derive and solve these expressions.)

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