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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 16T

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Question

Please solve the problems provided in the photo below

Suppose a corporation manufactures candles at two locations. The cost of producing *1units at location 1 is
C₁=0.08x₁² +4x1+500 and the cost of producing *2 units at location 2 is C₂ = 0.02x₂²+4x2+350
The candles sell for $12 per unit. Find the quantity that should be produced at each location to maximize the
profit P = 12(x₁+x₂)-C₁-C₂.
Find the partial derivatives: fx, fy, and f₂:
a. f(x,y) = x5y³ In(x³ + y²)
b. f(x, y, z) = x²y — 3x³ ey²-x²

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a manufacturer finds that for the first 500 units of its product that are produced and sold, the profit is 70 dollars per unit. the profit on each of the units beyond 500 is decreased by 0.10 times the number of additional units sold. what level of output will maximize profit?
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