It was determined that the demand equation for a product A is given by x = f(p, q) = 10, 000 − 10p + 0.2q^2 and the demand equation for a second product B is given by y = g(p, q) = 5000 + 0.8p^2 − 20q where p and q are the unit prices, respectively, and x and y denote the number of product A and the number of product B demanded each week. Determine whether these two products are substitute, complementary or neither

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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It was determined that the demand equation for a product A is given by
x = f(p, q) = 10, 000 − 10p + 0.2q^2
and the demand equation for a second product B is given by
y = g(p, q) = 5000 + 0.8p^2 − 20q
where p and q are the unit prices, respectively, and x and y denote the number of product A
and the number of product B demanded each week. Determine whether these two products
are substitute, complementary or neither.

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