Total revenue is the total amount of money taken in by a busniss. An appliance firm determines that when it sells x washings machines, the total revenue R in dollars is given by the polynomial R= 238.39x-0.5x^2. What is the total revenue from the salse of 154 washing machines?
I now you multiply 238.39x 154 to get 36712.06, but my question is: do you also multiply 0.5^2 (times) 154? and If so, how do you perform that operation. I don't know what to do next with these numbers, 0.5^2. Please help. Thank you.
R = 238.39x - 0.5x^2
x = 154
154^2 = 154 * 154 = 23716
R = 238.39(154) - -0.5(154)^2
R = 36,712.06 - 0.5(23716)
R = 36,712.06 - 11,858.00
R = ?
To find the total revenue from the sales of 154 washing machines, you need to substitute the value of x (154) into the given polynomial equation and solve for R.
Given that R = 238.39x - 0.5x^2, you can substitute x = 154:
R = 238.39(154) - 0.5(154)^2
Now, let's simplify the equation step by step:
1. Multiply 238.39 by 154:
238.39 * 154 = 36,712.06
2. Square 154:
154^2 = 23,716
3. Multiply 0.5 by 23,716:
0.5 * 23,716 = 11,858
Now, substitute these values back into the equation:
R = 36,712.06 - 11,858
Next, subtract 11,858 from 36,712.06:
R = 24,854.06
So, the total revenue from the sales of 154 washing machines would be $24,854.06.
To clarify your second question regarding 0.5^2, it means squaring the value of 0.5. So, 0.5^2 is equal to 0.5 * 0.5, which is 0.25. In this case, you have to square the value of x (154) after multiplying it by 0.5.