You are offered the option of choosing a yearly salary of $45,000 or continue working on commission.

a. Using the equation from problem #1, how many appliances do you have to sell per year in order to match this salary? (Hint: $450 is the base pay per month, not year. Multiply the base pay by 12 to represent a full year.)
b. If you currently average 74 appliance sales per month, which option should you choose?

Problem 1?

To answer these questions, we need to understand the equation given in Problem #1 and use it to calculate the number of appliances you need to sell per year.

Let's break it down step by step:

a. The equation from Problem #1 states that the annual salary is equal to the base pay per month multiplied by the number of appliances sold, plus the commission rate multiplied by the total sales.

In this case, the base pay per month is $450. To represent the full year, we need to multiply this by 12, which gives us $5,400.

So the equation becomes:
Annual salary = $5,400 + (Commission rate x Total sales)

To match the offered salary of $45,000, we need to set this equation equal to $45,000 and solve for the total sales.

$45,000 = $5,400 + (Commission rate x Total sales)

To isolate the Total sales variable, we subtract $5,400 from both sides of the equation:

$45,000 - $5,400 = Commission rate x Total sales

$39,600 = Commission rate x Total sales

Now we can determine the number of appliances you need to sell per year by dividing $39,600 by the commission rate. However, since we don't have the commission rate given in the question, we can't provide a specific answer without that information.

b. To compare the options, we need to calculate your earnings from the current average sales of 74 appliances per month for both options.

For the salary option, we multiply the base pay per month ($450) by 12 to get the annual salary of $5,400.

For the commission option, we use the commission rate to calculate your earnings based on the average monthly sales of 74 appliances.

If the commission rate is given, we can use it to determine the commission earnings. However, since the commission rate is not provided in the question, we cannot give a specific answer.

In conclusion, without the commission rate, we can't provide the specific number of appliances you need to sell per year to match the salary or determine which option you should choose based on your current average monthly sales.