Answer:
Step-by-step explanation:
1. 14 daffodils and 10 tulips : $62
2. 12 daffodils and 10 tulips: $56
3. 15 daffodils and 8 tulips : $61
4. 19 daffodils and 3 tulips: $63
The answer would be 12 daffodils and 10 tulips becuase after you multiply all the daffodils by $3(because they are $3 each) and all the tulips by $2 because they are $2 each you'll get the answers above. Then you'll chose the answer that is less than $60 which is number 2.
The set of bulbs that satisfies Duncan's constraints is 12 daffodils and 10 tulips
"It is a statement which consists of equal symbol between two mathematical expressions."
"It is an equation representing any constraints that are given in the question."
For given question,
Let 'x' be the number of Daffodil bulbs and 'y' be the number of Tulip bulbs.
Duncan has the space to plant, at most, 24 flower bulbs in his garden.
So, we get constraint equation,
x + y ≤ 24
Daffodil bulbs cost $3 each, and tulip bulbs cost $2 each. Duncan does not wish to spend more than $60 on his garden.
So, we get constraint equation,
3x + 2y ≤ 60
For x = 14, y = 10
The total cost would be,
3x + 2y
= 3(14) + 2(10)
= $62 > $60
For x = 12, y = 10
The total cost would be,
3x + 2y
= 3(12) + 2(10)
= $56 < $60
For x = 15, y = 8
The total cost would be,
3x + 2y
= 3(15) + 2(8)
= $61 > $60
For x = 19, y = 3
The total cost would be,
3x + 2y
= 3(19) + 2(3)
= $63 > $60
Therefore, the set of bulbs that satisfies Duncan's constraints is 12 daffodils and 10 tulips
Learn more about constraints here:
https://brainly.com/question/24279865
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