Question

Debbie makes packages of almonds. She has been working hard and wants to take a very long vacation. She leaves her best friend in charge of running her store. Debbie doesn't want to give her secret recipe to her friend, so she wants to leave her with enough inventory to last her vacation. She knows her average aggregate inventory is $30,000. Each week she sells 770 packages of almonds costing $10. How many weeks can Debbie take for vacation?

Answer 1

Debbie can take a vacation for approximately 3 to 4 weeks, as her weekly revenue from selling 770 packages of almonds at $10 each is $7700, and her aggregate inventory is $30,000.

Step-by-step explanation:

To determine how many weeks Debbie can take for vacation based on her inventory, we need to calculate the total weekly revenue from the sales of the packages of almonds and then divide the aggregate inventory by this weekly revenue. Debbie sells 770 packages each week at $10 per package.

First, calculate the weekly revenue:

• Weekly Revenue = Number of packages sold per week × Price per package
• Weekly Revenue = 770 × $10
• Weekly Revenue = $7700

Next, calculate the number of weeks Debbie's inventory will last:

• Number of Weeks = Aggregate Inventory / Weekly Revenue
• Number of Weeks = $30,000 / $7700
• Number of Weeks = approximately 3.9

Debbie's inventory will last for about 3.9 weeks, so she can take a vacation for approximately 3 to 4 weeks.