Answer:
at least 4674 flags should be sold to show a profit
Step-by-step explanation:
The net profit is defined as the revenue (income from selling the flags) minus the cost (of producing the flags).
Since we want that profit (P) to be larger than zero, we want the Revenue (R) to be larger than the cost (C):
P = R - C
we want P > 0 (zero) then we want: R - C > 0 which means R > C
We can now replace R and C by their expressions in terms of x (the number of flags produced):
36 x > 32 x + 18695
we subtract 32 x from both sides to gather all terms in the variable "x" on the left hand side of the equation:
36 x - 32 x > 18695
4 x > 18695
Now we solve for x by dividing both sides by 4 (thus isolating the unknown x):
x > 18695 / 4
x > 4673.75
Therefore x must be at least the following integer to 4673.75, that is : 4674
