g. What is the marginal cost of producing the 10th high-end meal box? h. Find the quantity of output that minimizes the average variable costs of producing high-end meal boxes. What is this quantity and what are average variable costs at this level of output? Remember, output can't be negative! Feel free to draw a graph here if it helps you think through the logic. i. Compare the average variable costs at the level of output you found in part h and your answer to part g. Explain the relationship between these answers using your knowledge of economic theory in no more than two sentences.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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#1 In the wake of the pandemic, chefs creatively used their talents and many designed high-end dinner kits for delivery through sites like Goldbelly, in lieu of unavailable traditional dine-in services. You are given the following cost function for a chef considering producing different numbers of high-end meal boxes. Quantity (Q) in the cost equation is the quantity of high-end meal boxes created. *Please note in this problem, you will see much smaller numbers in answers simply to save us all from carrying 27 zeros, for instance.* ☺

Here is the cost function: \( C(Q) = 1000 + 100Q - 10Q^2 + \dfrac{1}{2}Q^3 \)

a. Write down an equation representing the fixed costs of producing high-end meal boxes.
b. What is an example of a fixed cost of producing high-end meal boxes?
c. Write down an equation representing the average fixed costs of producing high-end meal boxes.
d. Write down an equation representing the variable costs of producing high-end meal boxes.
e. Write down an equation representing the marginal costs of producing high-end meal boxes.
f. If the firm is producing five high-end meal boxes what are the total variable costs?
g. What is the marginal cost of producing the 10th high-end meal box?
h. Find the quantity of output that minimizes the average variable costs of producing high-end meal boxes. What is this quantity and what are average variable costs at this level of output? Remember, output can’t be negative! Feel free to draw a graph here if it helps you think through the logic.
i. Compare the average variable costs at the level of output you found in part h and your answer to part g. Explain the relationship between these answers using your knowledge of economic theory in no more than two sentences.
Transcribed Image Text:#1 In the wake of the pandemic, chefs creatively used their talents and many designed high-end dinner kits for delivery through sites like Goldbelly, in lieu of unavailable traditional dine-in services. You are given the following cost function for a chef considering producing different numbers of high-end meal boxes. Quantity (Q) in the cost equation is the quantity of high-end meal boxes created. *Please note in this problem, you will see much smaller numbers in answers simply to save us all from carrying 27 zeros, for instance.* ☺ Here is the cost function: \( C(Q) = 1000 + 100Q - 10Q^2 + \dfrac{1}{2}Q^3 \) a. Write down an equation representing the fixed costs of producing high-end meal boxes. b. What is an example of a fixed cost of producing high-end meal boxes? c. Write down an equation representing the average fixed costs of producing high-end meal boxes. d. Write down an equation representing the variable costs of producing high-end meal boxes. e. Write down an equation representing the marginal costs of producing high-end meal boxes. f. If the firm is producing five high-end meal boxes what are the total variable costs? g. What is the marginal cost of producing the 10th high-end meal box? h. Find the quantity of output that minimizes the average variable costs of producing high-end meal boxes. What is this quantity and what are average variable costs at this level of output? Remember, output can’t be negative! Feel free to draw a graph here if it helps you think through the logic. i. Compare the average variable costs at the level of output you found in part h and your answer to part g. Explain the relationship between these answers using your knowledge of economic theory in no more than two sentences.
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