Answer :
Alright, let's find out which choice yields the largest profit for the pastry shop.
The profits for each donut and each bagel are as follows:
- Profit per donut: \[tex]$0.50 - Profit per bagel: \$[/tex]0.75
We will calculate the total profit for each choice (A, B, and C) by using the given quantities of donuts and bagels, and then sum their respective profits.
Choice A:
- Quantity of donuts: 600
- Quantity of bagels: 70
Total profit for Choice A:
[tex]\[ (600 \text{ donuts} \times \$0.50/\text{donut}) + (70 \text{ bagels} \times \$0.75/\text{bagel}) = \$300 + \$52.50 = \$352.50 \][/tex]
Choice B:
- Quantity of donuts: 500
- Quantity of bagels: 140
Total profit for Choice B:
[tex]\[ (500 \text{ donuts} \times \$0.50/\text{donut}) + (140 \text{ bagels} \times \$0.75/\text{bagel}) = \$250 + \$105 = \$355 \][/tex]
Choice C:
- Quantity of donuts: 500
- Quantity of bagels: 40
Total profit for Choice C:
[tex]\[ (500 \text{ donuts} \times \$0.50/\text{donut}) + (40 \text{ bagels} \times \$0.75/\text{bagel}) = \$250 + \$30 = \$280 \][/tex]
Comparing the profits from the three choices:
- Profit for Choice A: \[tex]$352.50 - Profit for Choice B: \$[/tex]355
- Profit for Choice C: \$280
The choice that yields the largest profit is:
[tex]\[ \boxed{B} \][/tex]
The profits for each donut and each bagel are as follows:
- Profit per donut: \[tex]$0.50 - Profit per bagel: \$[/tex]0.75
We will calculate the total profit for each choice (A, B, and C) by using the given quantities of donuts and bagels, and then sum their respective profits.
Choice A:
- Quantity of donuts: 600
- Quantity of bagels: 70
Total profit for Choice A:
[tex]\[ (600 \text{ donuts} \times \$0.50/\text{donut}) + (70 \text{ bagels} \times \$0.75/\text{bagel}) = \$300 + \$52.50 = \$352.50 \][/tex]
Choice B:
- Quantity of donuts: 500
- Quantity of bagels: 140
Total profit for Choice B:
[tex]\[ (500 \text{ donuts} \times \$0.50/\text{donut}) + (140 \text{ bagels} \times \$0.75/\text{bagel}) = \$250 + \$105 = \$355 \][/tex]
Choice C:
- Quantity of donuts: 500
- Quantity of bagels: 40
Total profit for Choice C:
[tex]\[ (500 \text{ donuts} \times \$0.50/\text{donut}) + (40 \text{ bagels} \times \$0.75/\text{bagel}) = \$250 + \$30 = \$280 \][/tex]
Comparing the profits from the three choices:
- Profit for Choice A: \[tex]$352.50 - Profit for Choice B: \$[/tex]355
- Profit for Choice C: \$280
The choice that yields the largest profit is:
[tex]\[ \boxed{B} \][/tex]
