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QUESTION 12 A firm produces two types of toy trains each week. The weekly revenue function is given by R(x,y)=50x +70y +0.07xy -0.04x2 -0.04y2 and the cost function is given by C(x,y)=7x +9y +18,000 where x is the number of type A toy trains produced and y is the number of type B toy trains produced. Find the profit function P (x,y) and P (250, 500) P(x,y) =43x+6ly +0.07xy -0.04x2-0.04y2-18,000 P (250,500) = 19,500 P (x,y) = 61x=42y +0.05xy -0.08x2-0.08y2-1800 P (250,500) = 18,200 P(x,y) = 32x +41y +0.7xy -0.04x2-0.04y2-15,000 P (250,500) = 25,000 P(x,y) = -0.03y2 +0.05xy - 60y +43X-0.05x² = 14,500 P (250,500)

QUESTION 12 A firm produces two types of toy trains each week. The weekly revenue function is given by R(x,y)=50x +70y +0.07xy -0.04x2 -0.04y2 and the cost function is given by C(x,y)=7x +9y +18,000 where x is the number of type A toy trains produced and y is the number of type B toy trains produced. Find the profit function P (x,y) and P (250, 500) P(x,y) =43x+6ly +0.07xy -0.04x2-0.04y2-18,000 P (250,500) = 19,500 P (x,y) = 61x=42y +0.05xy -0.08x2-0.08y2-1800 P (250,500) = 18,200 P(x,y) = 32x +41y +0.7xy -0.04x2-0.04y2-15,000 P (250,500) = 25,000 P(x,y) = -0.03y2 +0.05xy - 60y +43X-0.05x² = 14,500 P (250,500)

Calculus: Early Transcendentals
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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QUESTION 12 A firm produces two types of toy trains each week. The weekly revenue function is given by R(x,y)=50x +70y +0.07xy -0.04x2-0.04y2 and the cost function is given by C (x,y) = 7x +9y +18,000 where x is the number of type A toy trains produced and y is the number of type B toy trains produced. Find the profit function P (x,y) and P (250, 500) P(x,y) = 43x+61y+0.07xy -0.04x2-0.04y2-18,000 P (250,500) = 19,500 P (x,y) = 61x=42y +0.05xy -0.08x2-0.08y2- 1800 P (250,500) B 18,200 P(x,y) = 32x +41y +0.7xy -0.04x² -0.04y² - 15,000 P (250,500) = 25,000 P(x,y) = -0.03y2 +0.05xy - 60y +43X-0.05x² = 14,500 P (250,500)
Transcribed Image Text:QUESTION 12 A firm produces two types of toy trains each week. The weekly revenue function is given by R(x,y)=50x +70y +0.07xy -0.04x2-0.04y2 and the cost function is given by C (x,y) = 7x +9y +18,000 where x is the number of type A toy trains produced and y is the number of type B toy trains produced. Find the profit function P (x,y) and P (250, 500) P(x,y) = 43x+61y+0.07xy -0.04x2-0.04y2-18,000 P (250,500) = 19,500 P (x,y) = 61x=42y +0.05xy -0.08x2-0.08y2- 1800 P (250,500) B 18,200 P(x,y) = 32x +41y +0.7xy -0.04x² -0.04y² - 15,000 P (250,500) = 25,000 P(x,y) = -0.03y2 +0.05xy - 60y +43X-0.05x² = 14,500 P (250,500)
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