The formula P=x10(300−x) represents the profit (in dollars) generated by producing x microwave ovens per week, where 0≤x≤200. How many ovens must be manufactured in a given week to generate a profit of $1250?
P=x10(300−x)Model1250=x10(300−x)Substitute the given1250=30x−x210Apply Distributive Property12500=300x−x2Multiply both sides by 10x2−300x+12500=0Add x2 and subtract 300x(x−250)(x−50)=0Factorx−250=0 and x−50=0ZPPx=250 and x=50Solve for xx=50Choose x=50, since 0≤x≤200
In order to generate a profit of $1250, 50 ovens must be manufactured.
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