Friday, May 23, 2014

College Algebra, Chapter 1, 1.3, Section 1.3, Problem 86

The formula P=x10(300x) represents the profit (in dollars) generated by producing x microwave ovens per week, where 0x200. How many ovens must be manufactured in a given week to generate a profit of $1250?


P=x10(300x)Model1250=x10(300x)Substitute the given1250=30xx210Apply Distributive Property12500=300xx2Multiply both sides by 10x2300x+12500=0Add x2 and subtract 300x(x250)(x50)=0Factorx250=0 and x50=0ZPPx=250 and x=50Solve for xx=50Choose x=50, since 0x200


In order to generate a profit of $1250, 50 ovens must be manufactured.

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