Answer:
4
Step-by-step explanation:
revenue has to be greater than cost for a profit
revenue minus cost = profit
2x^2 – 20x + 70 - (–x^2 + 5x + 18) =
2x^2 – 20x + 70 + x^2 - 5x - 18 =
3x^2 – 25x + 52 ≤ 0
(x - 4) (3x - 13) ≤ 0
x ≤ 4
x ≤ 13/3
since its multiple choice you can enter one of the answers where the x is to get the answer
if you don't know what the question is and are short on time this may help
again:
revenue has to be greater than cost for a profit
revenue minus cost = profit
cost is 2x^2 – 20x + 70
revenue is –x^2 + 5x + 18
cost is
2(4)^2 – 20(4) + 70 =
32-80+70 =
102-80 =
22
revenue is
–x^2 + 5x + 18
–(4)^2 + 5(4) + 18
-16+20+18
-16+38
22
--------------------------------
cost is
2(5)^2 – 20(5) + 70 =
20
revenue is
–(5)^2 + 5(5) + 18
18
-------------------------------------
cost is
2(20)^2 – 20(20) + 70 =
470
revenue is
–(20)^2 + 5(20) + 18
-282
------------------------------
cost is
2(22)^2 – 20(22) + 70 =
598
revenue is
–(22)^2 + 5(22) + 18
-356
-----------------------------------------
cost is
2(3)^2 – 20(3) + 70 =
28
revenue is
–(3)^2 + 5(3) + 18
24
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cost is
2(2)^2 – 20(2) + 70 =
38
revenue is
–(2)^2 + 5(2) + 18
24
