A florist is looking to make arrangements of red and white roses for bouquets. The flowers are priced so that she makes a profit of $1.25 per red rose and $1.00 per white rose in a bouquet. Her goal is to make at least $1000 from sales of these bouquets. Based on her available time and supplies of red and white roses, she is considering two possibilities: 130
bouquets of 4
red roses and 3
white roses each or 110
bouquets of 3
red roses and 5
white roses each. Will either of these possibilities turn the profit the florist is seeking?(1 point)
Responses
Only the 110
bouquets of 3
red roses and 5
white roses each will turn the profit the florist is seeking.
Only the 110 bouquets of 3 red roses and 5 white roses each will turn the profit the florist is seeking.
Both possibilities will turn the profit the florist is seeking.
Both possibilities will turn the profit the florist is seeking.
Neither possibility will turn the profit the florist is seeking.
Neither possibility will turn the profit the florist is seeking.
Only the 130
bouquets of 4
red roses and 3
white roses each will turn the profit the florist is seeking.
Only the 130 bouquets of 4 red roses and 3 white roses each will turn the profit the florist is seeking.
To determine if either of these possibilities will turn the profit the florist is seeking, we need to calculate the profit from each option.
For the first option of 130 bouquets of 4 red roses and 3 white roses each, the profit per bouquet can be calculated as follows:
Profit per bouquet = (Profit per red rose * Number of red roses) + (Profit per white rose * Number of white roses)
Profit per bouquet = ($1.25 * 4) + ($1.00 * 3) = $5.00 + $3.00 = $8.00
Therefore, the total profit from this option would be:
Total profit = Profit per bouquet * Number of bouquets = $8.00 * 130 = $1,040.00
For the second option of 110 bouquets of 3 red roses and 5 white roses each, the profit per bouquet can be calculated as follows:
Profit per bouquet = (Profit per red rose * Number of red roses) + (Profit per white rose * Number of white roses)
Profit per bouquet = ($1.25 * 3) + ($1.00 * 5) = $3.75 + $5.00 = $8.75
Therefore, the total profit from this option would be:
Total profit = Profit per bouquet * Number of bouquets = $8.75 * 110 = $962.50
Based on these calculations, only the 130 bouquets of 4 red roses and 3 white roses each will turn the profit the florist is seeking.