The cost, in dollars, to produce xx vats of ice cream is C(x)=6x+12C(x)=6x+12. When selling them to ice cream shops, the price-demand function, in dollars per vat, is p(x)=78−4x  Find the profit function. P(x)=P(x)=   How many vats of ice cream need to be sold to maximize the profit.        Find the maximum profit.        Find the price to charge per vat to maximize profit

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The cost, in dollars, to produce xx vats of ice cream is C(x)=6x+12C(x)=6x+12. When selling them to ice cream shops, the price-demand function, in dollars per vat, is p(x)=78−4x 

Find the profit function.
P(x)=P(x)=
 

How many vats of ice cream need to be sold to maximize the profit.
      

Find the maximum profit.
      

Find the price to charge per vat to maximize profit

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