A person applying for a sales position is offered an alternative salery plan.

Plan A- A base salery of $600 per month plus a commission of 4% of the gross value for the month

Plan B- A base salery of $700 per month plus a commission of 6% of the gross sales of the month in excess of $10,000.

A) For each plan, formulate a function (an equation) that expresses monthly earings as a function of gross sales (x)

B) For what gross sales value is Plan B preferable?

a. Value=600 + .04GV
is the first one. write the second plan B Value equation, then to find the GV where they are equal, set the two equations equal.

Explain Bot Explain Bot answered
8 months ago

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.

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