A person applying for a sales positions is offered an alernative salary plan.
Plan A:A bas salary of $600 per month plus a commission of 4% of the gross value for the month.
Plan B: A base salary 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 earnings as a function of gross sales (x)
b) for what gross sales values is plan b preferable?
i need help!!!!
I will do the second:
EarningsB=700 + .06*(Sales-10000)
Write the equation for earnings under A. Then set them equal and solve for Sales.
To formulate a function for Plan A, we use the equation: EarningsA = $600 + 0.04x, where x represents the gross sales for the month.
Now, to formulate a function for Plan B, we use the equation: EarningsB = $700 + 0.06(x - $10,000). Here, we subtract $10,000 from the gross sales (x) as it represents the amount of sales that exceeds $10,000.
To determine for what gross sales values Plan B is preferable, we need to compare the earnings under both plans. We set EarningsA = EarningsB and solve for x.
$600 + 0.04x = $700 + 0.06(x - $10,000)
Simplify the equation:
$600 + 0.04x = $700 + 0.06x - $600
Combine like terms:
0.02x = $100
Divide both sides by 0.02 to isolate x:
x = $100 / 0.02
x = $5,000
Therefore, Plan B is preferable for gross sales values greater than $5,000.