Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is as follows. C(x, y) = 35,000 + 70x + 50y ac ac and ax Calculate and interpret ду ac ax ac ду ac is $ ду The marginal cost to manufacture each bicycle is $ The marginal cost to manufacture each tricycle
Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is as follows. C(x, y) = 35,000 + 70x + 50y ac ac and ax Calculate and interpret ду ac ax ac ду ac is $ ду The marginal cost to manufacture each bicycle is $ The marginal cost to manufacture each tricycle
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Weekly Manufacturing Cost Analysis for Bicycles and Tricycles**
Your weekly cost (in dollars) to manufacture \( x \) bicycles and \( y \) tricycles is as follows:
\[ C(x, y) = 35,000 + 70x + 50y \]
**Objective:**
Calculate and interpret the marginal costs \(\frac{\partial C}{\partial x}\) and \(\frac{\partial C}{\partial y}\).
**Marginal Cost Calculations:**
1. Calculate the partial derivative of \( C \) with respect to \( x \):
\[ \frac{\partial C}{\partial x} = \]
2. Calculate the partial derivative of \( C \) with respect to \( y \):
\[ \frac{\partial C}{\partial y} = \]
**Interpretation of Marginal Costs:**
The marginal cost to manufacture each bicycle \(\left(\frac{\partial C}{\partial x}\right)\) is $.
The marginal cost to manufacture each tricycle \(\left(\frac{\partial C}{\partial y}\right)\) is $.
These calculations and interpretations will assist in understanding the additional cost incurred for each additional bicycle and tricycle produced, providing a clearer insight into production cost efficiency.
**Note:** Fill in the blank fields as follows after computing the partial derivatives to determine the respective marginal costs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde58d5f0-b651-402b-8387-7affdca0c167%2F5114b31a-a844-489a-b4f0-45356a360cd3%2Fh2h5gr_processed.png&w=3840&q=75)
Transcribed Image Text:**Weekly Manufacturing Cost Analysis for Bicycles and Tricycles**
Your weekly cost (in dollars) to manufacture \( x \) bicycles and \( y \) tricycles is as follows:
\[ C(x, y) = 35,000 + 70x + 50y \]
**Objective:**
Calculate and interpret the marginal costs \(\frac{\partial C}{\partial x}\) and \(\frac{\partial C}{\partial y}\).
**Marginal Cost Calculations:**
1. Calculate the partial derivative of \( C \) with respect to \( x \):
\[ \frac{\partial C}{\partial x} = \]
2. Calculate the partial derivative of \( C \) with respect to \( y \):
\[ \frac{\partial C}{\partial y} = \]
**Interpretation of Marginal Costs:**
The marginal cost to manufacture each bicycle \(\left(\frac{\partial C}{\partial x}\right)\) is $.
The marginal cost to manufacture each tricycle \(\left(\frac{\partial C}{\partial y}\right)\) is $.
These calculations and interpretations will assist in understanding the additional cost incurred for each additional bicycle and tricycle produced, providing a clearer insight into production cost efficiency.
**Note:** Fill in the blank fields as follows after computing the partial derivatives to determine the respective marginal costs.
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