Question

Commission or salary: Jill has a job offer. She is offered either $50 per day or ?30 per day plus a commission of $3 for every plant she sells. How many plants does she need to sell to make the commission offer the best paying option?

Answer 1

She need to sell 7 or more plants to make the commission offer the best paying option

Explanation:

Given : Jill has a job offer. She is offered either $50 per day or ?30 per day plus a commission of $3 for every plant she sells.

To Find: How many plants does she need to sell to make the commission offer the best paying option?

Solution :

Since in the commission offer

She earns $ 30 per day and $3 for each plant she sells

Let she sold t plants

Since commission of 1 plant is $3

So, commission of t plants is $3t

And She is also getting $30 per day

So, total amount earned in the commission offer is 30+3t

Since we need to find How many plants does she need to sell to make the commission offer the best paying option

So, 30+3t > 50

⇒
`3t > 50-30`

⇒
`3t > 20`

⇒
`t > (20)/(3)`

⇒
`t >6.6`

Thus she must sell 7 or more plants

Hence she need to sell 7 or more plants to make the commission offer the best paying option