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R(x)=x(60,000-1,000 x)
The function models 
R, the revenue, in dollars, from selling a particular board game at a price of 
x dollars. What is the revenue if the board game is sold at a price of 30 dollars?
Choose 1 answer:
(A) 
$500,000
(B) 
$800,000
(c) 
$900,000
(D) 
$1,770,000

R(x)=x(60,0001,000x) R(x)=x(60,000-1,000 x) \newlineThe function models R R , the revenue, in dollars, from selling a particular board game at a price of x x dollars. What is the revenue if the board game is sold at a price of 3030 dollars?\newlineChoose 11 answer:\newline(A) $500,000 \$ 500,000 \newline(B) $800,000 \$ 800,000 \newline(C) $900,000 \$ 900,000 \newline(D) $1,770,000 \$ 1,770,000

Full solution

Q. R(x)=x(60,0001,000x) R(x)=x(60,000-1,000 x) \newlineThe function models R R , the revenue, in dollars, from selling a particular board game at a price of x x dollars. What is the revenue if the board game is sold at a price of 3030 dollars?\newlineChoose 11 answer:\newline(A) $500,000 \$ 500,000 \newline(B) $800,000 \$ 800,000 \newline(C) $900,000 \$ 900,000 \newline(D) $1,770,000 \$ 1,770,000
  1. Identify revenue function and price: Identify the revenue function and the price at which the board game is sold. The revenue function is given by R(x)=x(60,0001,000x)R(x) = x(60,000 - 1,000x), where xx is the price in dollars at which the board game is sold. We are asked to find the revenue when the board game is sold at a price of $30\$30.
  2. Substitute price into revenue function: Substitute the price into the revenue function to calculate the revenue.\newlineR(30)=30(60,0001,000×30)R(30) = 30(60,000 - 1,000 \times 30)\newlineFirst, calculate the expression inside the parentheses.\newline60,0001,000×30=60,00030,00060,000 - 1,000 \times 30 = 60,000 - 30,000
  3. Calculate expression inside parentheses: Continue the calculation from Step 22.\newline60,00030,000=30,00060,000 - 30,000 = 30,000\newlineNow, multiply this result by the price of $30\$30.\newlineR(30)=30×30,000R(30) = 30 \times 30,000
  4. Multiply result by price: Calculate the final revenue.\newlineR(30)=30×30,000R(30) = 30 \times 30,000\newlineR(30)=900,000R(30) = 900,000\newlineThe revenue from selling the board game at a price of $30\$30 is $900,000\$900,000.

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