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Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.

WEEK 1 2 3
Salesman A 11 14 16
Salesman B 14 15 13
Salesman C 16 12 11

In which week(s), did Salesman C have a larger paycheck than both of the other salesmen? Select all that apply.

Week 3
None of the weeks.
Week 2
Week 1

Respuesta :

Answer:

Only Week 1

Step-by-step explanation:

We know that Salesman C only earns $900, no matter how many sales he makes, so we can just ignore his data for the rest of the problem. This also tells us that both Salesmen A and B have to earn less than $900 each week. That being said, let's start with Salesman A;
Now Salesman A makes $65 per sale, with no base salary, and can't go over $1,300. So starting with the first week, we do 11 sale x $65 (per means multiply) which gives us $715. Then you just repeat for weeks 2 and 3, giving us $910 week 2, and $1040 week 3. Since Salesman C made less than Salesman A for both weeks 2 and 3, we now only need to check week 1 for Salesman B.
Salesman B has a base salary of $300, and gets $40 per sale. So that means we have to do (14 sales x $40) + $300= $860. We don't need to check weeks 2 and 3, but if you wanted to, you would get $900 for week 2 and $840 week 3.
Knowing all of this, the only week Salesman C made more than BOTH Salesmen A and B is week 1, since Salesman A made more than Salesman C weeks 2 and 3, and Salesman B made more than Salesman C in week 2.