Suppose the Temperature in Degrees Celsius on the Surface of a Metal

question 111

Multiple Choice

Suppose the temperature in degrees Celsius on the surface of a metal plate is $T ( x , y ) = 60 - 4 x ^ { 2 } - y ^ { 2 }$ , where $x$ and $y$ are measured in centimeters. Estimate the average temperature if $x$ varies between 0 and 2 centimeters and $y$ varies between 0 and 7 centimeters.

• A) \(\frac { 181 } { 3 }\) degrees Celsius
• B) \(\frac { 119 } { 3 }\) degrees Celsius
• C) \(\frac { 245 } { 3 }\) degrees Celsius
• D) \(\frac { 241 } { 3 }\) degrees Celsius
• E) \(\frac { 115 } { 3 }\) degrees Celsius

Calculate and interpret the ratio of price elasticities of demand in different markets under price discrimination.

Determine the conditions under which profits are maximized through price discrimination.

Understand the role of marginal cost in the pricing and output decisions of firms practicing price discrimination.

Calculate optimal pricing for discriminating monopolists in theoretical and practical scenarios.

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