Let's calculate the profit for each choice, given the profit per donut and bagel.
1. Choice A:
- Quantity of Donuts: 600
- Quantity of Bagels: 70
- Profit per Donut: [tex]$0.50
- Profit per Bagel: $[/tex]0.75
Calculate the total profit for choice A:
[tex]\[
\text{Profit}_A = (600 \times 0.50) + (70 \times 0.75)
\][/tex]
Break it down:
[tex]\[
600 \times 0.50 = 300
\][/tex]
[tex]\[
70 \times 0.75 = 52.5
\][/tex]
[tex]\[
\text{Profit}_A = 300 + 52.5 = 352.5
\][/tex]
2. Choice B:
- Quantity of Donuts: 500
- Quantity of Bagels: 140
- Profit per Donut: [tex]$0.50
- Profit per Bagel: $[/tex]0.75
Calculate the total profit for choice B:
[tex]\[
\text{Profit}_B = (500 \times 0.50) + (140 \times 0.75)
\][/tex]
Break it down:
[tex]\[
500 \times 0.50 = 250
\][/tex]
[tex]\[
140 \times 0.75 = 105
\][/tex]
[tex]\[
\text{Profit}_B = 250 + 105 = 355
\][/tex]
3. Choice C:
- Quantity of Donuts: 500
- Quantity of Bagels: 40
- Profit per Donut: [tex]$0.50
- Profit per Bagel: $[/tex]0.75
Calculate the total profit for choice C:
[tex]\[
\text{Profit}_C = (500 \times 0.50) + (40 \times 0.75)
\][/tex]
Break it down:
[tex]\[
500 \times 0.50 = 250
\][/tex]
[tex]\[
40 \times 0.75 = 30
\][/tex]
[tex]\[
\text{Profit}_C = 250 + 30 = 280
\][/tex]
Now, let's compare the total profits to determine which choice yields the largest profit.
- [tex]\(\text{Profit}_A = 352.5\)[/tex]
- [tex]\(\text{Profit}_B = 355\)[/tex]
- [tex]\(\text{Profit}_C = 280\)[/tex]
Among these, the maximum profit is $355. Therefore, Choice B yields the largest profit.
