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IIIQuadraticFunctions - Dr Raja Latif Math 131043.Sec...

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Dr. Raja Latif. Math 131043.Sec: 01&02 (Finite Mathematics) Summer 2005 Pg: 1 4 . 3 : Quadratic Equations Recommended Examples : 5 pp : 138 139 , Recommended Pr actice Prob # 3 Page #139 HomeWork Problems .: 29,31,33,39,41 Example . HB69E4 . 10 . A manufacturer can produce radio at a cost of $2 each . The radio have been selling for $5 each , and at this price , consumers have been buying 4000 radios a month . The manufacturer is planning to raise the price of the radios and estimate that for each $1 increase in the price , 400 fewer radios will be sold each month . Express the manufacturer s monthly profit as a function of the selling price . at what price should the radios be sold to maximize profit ? Solution . Let x denote the price at which the radio will be sold and P x the corresponding profit . Number of radios sold 4000 400 number of $1 increases The number of $1 increases in the price is x 5, the difference between the new and
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Dr. Raja Latif. Math 131043.Sec: 01&02 (Finite Mathematics) Summer 2005 Pg: 2 old selling price . Hence ,
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