It is known that producing an air conditioner requires variable costs of $100 per unit and $5000 fixed costs. If the air conditioning company advertises at a cost of $x, it is estimated that the number of air conditioners sold is x1/2. The selling price of the air conditioner is $300 per unit. Question: Is the function formed is a convex function? Explain!

It is known that producing an air conditioner requires variable costs of $100 per unit and $5000 fixed costs. If the air conditioning company advertises at a cost of $x, it is estimated that the number of air conditioners sold is x1/2. The selling price of the air conditioner is $300 per unit. Question: Is the function formed is a convex function? Explain!

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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It is known that producing an air conditioner requires variable costs of $100 per unit and $5000 fixed costs. If the air conditioning company advertises at a cost of $x, it is estimated that the number of air conditioners sold is x^1/2. The selling price of the air conditioner is $300 per unit.

Question: Is the function formed is a convex function? Explain!

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