Total revenue is the total amount of money taken in by a business. An appliance firm determines that when is sells x washing machines, the total revenue, R, in dollars, is given by the polynomial R=252.05x-0.5x^2 what is the total revenue from the sale of 290 washing machines?
R= 252.05*290 - 0.5*290^2
R= 73094.5 - 0.5*84100
R= 73094.5 - 42050
R= 31044.5 $
To find the total revenue from the sale of 290 washing machines, you can substitute the value of x into the given polynomial equation R = 252.05x - 0.5x^2.
Now we can substitute x = 290 into the equation:
R = 252.05(290) - 0.5(290)^2
To simplify the equation, we perform the calculations within parentheses first:
R = 252.05 * 290 - 0.5 * (290)^2
= 73184.5 - 0.5 * 84100
Now, we square 290:
R = 73184.5 - 0.5 * 84100
= 73184.5 - 42050
Next, multiply 0.5 by 84100:
R = 73184.5 - 42050
= 73184.5 - 42050
= 31134.5
Therefore, the total revenue from the sale of 290 washing machines is $31,134.50.