Let x be the number of steak dinners and y be the number of chicken dinners sold at a restaurant. Revenue collected for these dinners is modelled by; R(x, y) = 20x + 14y - xy - 2x² - 20 y ² and costs are; C(x, y) = 9x + 3y + 700 Currently, 20 steak and 12 chicken dinners are being sold. Use marginal functions to approximate how much profit will be earned if one more chicken dinner is sold: dollars. Find the number of dinners sold that will maximize profit. steak dinners x= y = chicken dinners.
Let x be the number of steak dinners and y be the number of chicken dinners sold at a restaurant. Revenue collected for these dinners is modelled by; R(x, y) = 20x + 14y - xy - 2x² - 20 y ² and costs are; C(x, y) = 9x + 3y + 700 Currently, 20 steak and 12 chicken dinners are being sold. Use marginal functions to approximate how much profit will be earned if one more chicken dinner is sold: dollars. Find the number of dinners sold that will maximize profit. steak dinners x= y = chicken dinners.
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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![Let \( x \) be the number of steak dinners and \( y \) be the number of chicken dinners sold at a restaurant. Revenue collected for these dinners is modeled by:
\[ R(x, y) = 20x + 14y - \frac{1}{40}xy - \frac{1}{20}x^2 - \frac{1}{20}y^2 \]
and costs are:
\[ C(x, y) = 9x + 3y + 700 \]
Currently, 20 steak and 12 chicken dinners are being sold. Use marginal functions to approximate how much profit will be earned if one more chicken dinner is sold:
____ dollars.
Find the number of dinners sold that will maximize profit.
\[ x = \, \] ____ steak dinners
\[ y = \, \] ____ chicken dinners.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cce1808-caf5-457b-bc5a-f7c079ff1a3b%2Fdb2fcc1b-4b3b-4c6b-9758-8f1dc1282aa9%2Fa84dpc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( x \) be the number of steak dinners and \( y \) be the number of chicken dinners sold at a restaurant. Revenue collected for these dinners is modeled by:
\[ R(x, y) = 20x + 14y - \frac{1}{40}xy - \frac{1}{20}x^2 - \frac{1}{20}y^2 \]
and costs are:
\[ C(x, y) = 9x + 3y + 700 \]
Currently, 20 steak and 12 chicken dinners are being sold. Use marginal functions to approximate how much profit will be earned if one more chicken dinner is sold:
____ dollars.
Find the number of dinners sold that will maximize profit.
\[ x = \, \] ____ steak dinners
\[ y = \, \] ____ chicken dinners.
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