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Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 – 160x + 300. The variable x is the number of televisions sold.If 150 televisions are sold, what is the profit?

Verified Answer :

AL2006

Revenue = 3x² + 180x

Cost = 3x² - 160x + 300

Profit  =  (Revenue) - (cost)

         = (3x² + 180x) - (3x² - 160x + 300)

         =      340x - 300

If x=150, then profit is

                340(150) - 300  =  $ 50,700 .

The profit on the selles of 150 television is 51200 ot 54%.

Selles of television are given by equation that represents,
revenue = 3x²+180x
cost = 3x² - 160x + 300
Profit for 150 sold television to be determined.

What is the cost price?

Cost price is the price for buyer pays to the seller for an object or product.

let x be the number of television sold.
revenue = 3x²+180x
cost = 3x² - 160x + 300

now x = 150
revenue = 3 (150)² + 180 150
              = 94500
cost = 3 (150)² - 160
150 + 300
       = 67500 -24000 + 300
       =  43300
Profit = revenue - cost
         = 94500 -43300
         = 51200
Profit% =  (revenue - cost)/revenue 100
            =   (94500-43300)/94500
100
            =   51200/94500 100
            = 0.54
100
            =  54%

Thus the profit on the selles of 150 television is 51200 ot 54%.

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