To find the y-intercept of 7x + 2y = -12, replace the x-term with 0:
7x + 2y = -12 ---> 7(0) + 2y = -12 ---> 0 + 2y = -12 ---> 2y = -12 ---> y = -6
To find the x-intercept of -3x - 5y = 21, replace the y-term with 0:
-3x - 5y = 21 ---> -3x - 5(0) = 21 ---> -3x - 0 = 21 ---> -3x = 21 ---> x = -7
Projected profit = projected revenues - projected costs
Projected profit = (3x + 22,050) - (2x - 1,560)
= 3x + 22,050 - 2x + 1,560
= x + 23,610