To determine whether Jelly's Doughnuts would make or lose money for the week, and by how much, we can follow these steps:
1. Calculate the total gross profit made by selling 4,000 doughnuts.
2. Subtract the total production cost for the week from the total gross profit.
Let's start with the first step:
### Step 1: Calculate the Total Gross Profit
For each doughnut sold, Jelly's Doughnuts makes a gross profit of [tex]$0.60. To find the total gross profit, we can multiply the gross profit per doughnut by the total number of doughnuts sold during the week.
$[/tex][tex]$
\text{Total Gross Profit} = \text{Gross Profit per Doughnut} \times \text{Number of Doughnuts Sold}
$[/tex][tex]$
Given that the gross profit per doughnut is $[/tex]0.60 and the number of doughnuts sold is 4,000:
[tex]$
\text{Total Gross Profit} = $0.60 \times 4,000
$[/tex]
[tex]$
\text{Total Gross Profit} = $2,400
$[/tex]
### Step 2: Subtract the Weekly Production Cost from the Total Gross Profit
At this point, we need to know the weekly production cost to determine the net profit or loss. However, since we haven't been given an exact production cost, we'll use the variable [tex]\( C \)[/tex] to represent this cost.
The formula for net profit or loss is:
[tex]$
\text{Net Profit or Loss} = \text{Total Gross Profit} - \text{Weekly Production Cost}
$[/tex]
Given that the total gross profit is [tex]$2,400 and assuming the weekly production cost is represented by \( C \), the net profit or loss will be:
$[/tex][tex]$
\text{Net Profit or Loss} = $[/tex]2,400 - C
[tex]$[/tex]
From here, there are two possible scenarios:
- If the weekly production cost [tex]\( C \)[/tex] is less than [tex]$2,400, then Jelly's Doughnuts will make money for the week.
- If the weekly production cost \( C \) is more than $[/tex]2,400, then Jelly's Doughnuts will lose money for the week.
To know exactly how much money they would make or lose, we would need to know the exact value of [tex]\( C \)[/tex], which is not provided in the question. Once we have that value, we can simply subtract it from $2,400 to find the net profit or loss for Jelly's Doughnuts.
