GIVEN:
Quantity A: p
Quantity B: 29,000c

Since p = 300c² - c, we can rewrite Quantity A as follows
Quantity A: 300c² - c
Quantity B: 29,000c

Rewrite Quantity A as follows:
Quantity A: c(300c - 1)
Quantity B: 29,000c

Since C is POSITIVE< we can safely divide both quantities by c to get:
Quantity A: 300c - 1
Quantity B: 29,000

c = 100, so we get:
Quantity A: 300(100) - 1
Quantity B: 29,000

Simplify:
Quantity A: 30,000 - 1
Quantity B: 29,000

Evaluate:
Quantity A: 29,999
Quantity B: 29,000

Answer: A

Cheers,
Brent

It is not necessary to finish all the equation
I do the following:

c=100

Quantity A.
p
p = 300c² - c
p = 100*[300(100) -1]
p = 100 [299,999]

Quantity B

29,000c =
100 [29,000]

Therefore, answer A.

Quantity A:
300c2−c= (300c-1)*c = (300*100-1)*100 = 29999*100

Quantity B: 29,000c= 29000 * 100

=> Quantity A > Quantity B
(Quantity A is greater)

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