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?
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.
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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