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The revenue R, in dollars, that is generated by selling “x” units of a certain product is given by 9x2 + bx + c, where x > 0 and b and c are constants. Find the value of b.
(1) The revenue generated by selling 200 units of the product is 54,0000.
(2) The roots of the equation ax2 - bx + c are 20 and 9. 
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The revenue R, in dollars, that is generated by selling “x&rdquo...
Statement 1 Alone:
9∗2002 + 200b + c = 54000. However, we have two variables so there is no unique solution for b or c. Then statement 1 alone is insufficient.
Statement 2 Alone:
Using quadratic equation knowledge, we can find b/a = 20 + 9 = 29 and c/a 20*9, however that is not enough to find b or c. Then statement 2 alone is insufficient.
(There may be a typo in this statement since a was not declared, so the intended equation might have been 9x2 - bx + c, and this statement would be sufficient in that case).
Statement 2 Alone:
Combined we have three equations with three variables. Plug b = 29a and c = 180a into the first equation to find a, then b and c. Thus by combining statements, it is sufficient.
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Community Answer
The revenue R, in dollars, that is generated by selling “x&rdquo...
A certain product is given by the formula R = 10p, where p is the price of the product in dollars.

If the price of the product is $5, then the revenue generated would be:

R = 10(5) = $50

Therefore, if the price of the product is $5, the revenue generated would be $50.
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The revenue R, in dollars, that is generated by selling “x” units of a certain product is given by 9x2 + bx + c,where x > 0 and b and c are constants. Find the value of b.(1) The revenue generated by selling 200 units of the product is 54,0000.(2) The roots of the equation ax2 - bx + care 20 and 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The revenue R, in dollars, that is generated by selling “x” units of a certain product is given by 9x2 + bx + c,where x > 0 and b and c are constants. Find the value of b.(1) The revenue generated by selling 200 units of the product is 54,0000.(2) The roots of the equation ax2 - bx + care 20 and 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The revenue R, in dollars, that is generated by selling “x” units of a certain product is given by 9x2 + bx + c,where x > 0 and b and c are constants. Find the value of b.(1) The revenue generated by selling 200 units of the product is 54,0000.(2) The roots of the equation ax2 - bx + care 20 and 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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