## For Plan B, the monthly earnings can be expressed as a function of gross sales (x) using the following equation:

Value = 700 + 0.06(GV - 10,000)

To find the gross sales value where Plan B becomes preferable, we need to set the two equations (Plan A and Plan B) equal to each other and solve for GV:

600 + 0.04GV = 700 + 0.06(GV - 10,000)

Step 1: Distribute 0.06 to the terms inside the parentheses in the Plan B equation:

600 + 0.04GV = 700 + 0.06GV - 600

Step 2: Combine like terms:

0.04GV = 100 + 0.06GV

Step 3: Move all terms with GV to one side of the equation:

0.04GV - 0.06GV = 100

Step 4: Simplify the left side:

-0.02GV = 100

Step 5: Divide both sides by -0.02:

GV = 100 / -0.02

Simplifying further, we get:

GV = -5000

Therefore, Plan B becomes preferable when the gross sales value exceeds $5,000.