QUESTION 8 A manufacturing company produces two types of surfboards - Standard board and competition board. The price demand function for the two types of boards are given by the equations = = 210-4x +y PI = 300+x-12y P₂² P₁ p is the price of standard board and p, is the price of competition board. 2 x is the weekly demand of standard board and y is the weekly demand of competition board. Find the weekly revenue function and evaluate R (50,20) R(x,y) = 12x=15y + 4xy-3x2-10y² R (50,20)=2500 * R(x,y) = 210x +300y + 2xy-4x²-12y2 R (50,20) = 3700 R(x,y) = -3y2 + 12xy - 150y +120x + 15x² R (50,20) = 3450 R(x,y) = -2x2-4y2 + 3xy-150y+200x R (50,20) =5400
QUESTION 8 A manufacturing company produces two types of surfboards - Standard board and competition board. The price demand function for the two types of boards are given by the equations = = 210-4x +y PI = 300+x-12y P₂² P₁ p is the price of standard board and p, is the price of competition board. 2 x is the weekly demand of standard board and y is the weekly demand of competition board. Find the weekly revenue function and evaluate R (50,20) R(x,y) = 12x=15y + 4xy-3x2-10y² R (50,20)=2500 * R(x,y) = 210x +300y + 2xy-4x²-12y2 R (50,20) = 3700 R(x,y) = -3y2 + 12xy - 150y +120x + 15x² R (50,20) = 3450 R(x,y) = -2x2-4y2 + 3xy-150y+200x R (50,20) =5400
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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Transcribed Image Text:QUESTION 8
A manufacturing company produces two types of surfboards - Standard board and competition board.
The price demand function for the two types of boards are given by the equations
P₁
P₂
= 210 - 4x +y
P₁
1
= 300 + x - 12y
is the price of standard board and p, is the price of competition board.
2
x is the weekly demand of standard board and y is the weekly demand of competition board.
Find the weekly revenue function and evaluate R (50,20)
2
R(x,y) = 12x=15y + 4xy - 3x²-10y²
R (50,20)=2500 *
R(x,y) = 210x +300y + 2xy-4x² - 12y2
R (50,20) = 3700
R(x,y) = -3y2 + 12xy - 150y + 120x + 15x²
R (50,20) = 3450
R(x,y) =
R (50,20)
2x²-4y2 + 3xy-150y + 200x
5400
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