Question 723746
Just solve your last equation
(1) p = 4.75x - 1.79x - 30852 or
(2) p = 2.96x - 30852
Since you want a positive profit set
(3) p > 0 or
(4) 2.96x - 30852 > 0 or
(5) 2.96x > 30852 or
(6) x > 30852/2.96 or
(7) x > 10423
Let's check this with (1)
Is (4.75*10423 - 1.79*10423 - 30852 > 0)?
Is (49509.25 - 18657.17 - 30852 > 0)?
Is (0.08 > 0}? Yes
Answer: The company must sell at least 10423 thing-a-ma-bobs to make a profit
PS I assume they make/sell a whole thing-a-ma-bob.