Monsters, Inc. has two plants for producing electricity, one in Monsterville and another is in New Yeti. The Monsterville plant produces according to eM(x1,x2) = min{x1,2x2} and the New Yeti plant produces according to eNY(x1,X2) = min{2x1,x2}, where x1 and x2 are the inputs. iii. How much of each input will the firm need in order to produce 20 units electricity in the New Yeti plant? iv. Assume now that Monsters, Inc. decides to produce 40 units of electricity and it can split production in any manner between the two plants. Is the technology available to this firm convex or concave? Explain your answer.

Practical Management Science
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Author:WINSTON, Wayne L.
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Monsters, Inc. has two plants for producing electricity, one in Monsterville and another is in New
Yeti. The Monsterville plant produces according to eM(x1,x2) = min{xX1,2x2} and the New Yeti
plant produces according to eNY(x1,x2) = min{2x1,x2}, where xi and x2 are the inputs.
iii. How much of each input will the firm need in order to produce 20 units electricity in the
New Yeti plant?
iv. Assume now that Monsters, Inc. decides to produce 40 units of electricity and it can split
production in any manner between the two plants. Is the technology available to this firm
convex or concave? Explain your answer.
Transcribed Image Text:Monsters, Inc. has two plants for producing electricity, one in Monsterville and another is in New Yeti. The Monsterville plant produces according to eM(x1,x2) = min{xX1,2x2} and the New Yeti plant produces according to eNY(x1,x2) = min{2x1,x2}, where xi and x2 are the inputs. iii. How much of each input will the firm need in order to produce 20 units electricity in the New Yeti plant? iv. Assume now that Monsters, Inc. decides to produce 40 units of electricity and it can split production in any manner between the two plants. Is the technology available to this firm convex or concave? Explain your answer.
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