Question
Your weekly cost (in dollars) to manufacture $x$ bicycles and $y$ tricycles is$$C(x, y)=24,000+60 x+20 y+0.3 x y$$(Compare with Exercise 78.) Compute the marginal cost of manufacturing tricycles at a production level of 10 bicycles and 20 tricycles. HINT [See Example 2.]
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This is denoted as $\frac{\partial C}{\partial y}$. Show more…
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Your weekly cost (in dollars) to manufacture $x$ cars and $y$ trucks is $$ C(x, y)=240,000+6,000 x+4,000 y-20 x y . $$ (Compare with Exercise 77.) Compute the marginal cost of manufacturing cars at a production level of 10 cars and 20 trucks. HINT [See Example 2.]
Functions of Several Variables
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Your weekly cost (in dollars) to manufacture $x$ bicycles and $y$ tricycles is $$ C(x, y)=20,000+60 x+20 y+50 \sqrt{x y} $$ What is the marginal cost of a bicycle? Of a tricycle? How do these marginal costs behave as $x$ and $y$ increase?
Your weekly cost (in dollars) to manufacture $x$ bicycles and $y$ tricycles is $$ C(x, y)=24,000+60 x+20 y $$ a. What is the marginal cost of a bicycle? Of a tricycle? HINT [See Example 1.] b. Describe the graph of the cost function $C$. HINT [See Example 7.] c. Describe the slice by $y=100 .$ What cost function does this slice describe? d. Describe the level curve $z=72,000$. What does this curve tell you about costs?
Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
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