Thank you for visiting A nursery has 50 000 of inventory in dogwood trees and red maple trees The profit on a dogwood tree is 24 and the profit. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Solving for D and R using the given profit percentages, we find that $30,000 was invested in dogwood trees and $20,000 in red maple trees.
To solve this problem regarding the investment in dogwood trees and red maple trees, we can use a system of equations to represent the relationships between the costs, profits, and the overall investment.
Let's denote the amount invested in dogwood trees as D and the amount invested in red maple trees as R. We are given the total investment in both types of trees as $50,000, hence:
D + R = 50,000
We also know the profit margins for each type of tree: 24% for dogwoods and 10% for red maples. The overall profit for the stock is 17%. Using this information, we can express the total profit from the two investments as follows:
0.24D + 0.10R = 0.17 times 50,000
Solving this system of equations will generate an accurate answer to the question.
Let's set up the equations:
- D + R = 50,000
- 0.24D + 0.10R = 8,500 (0.17 times 50,000)
We can now solve these equations using substitution or elimination methods. After solving, we find that:
D = $30,000 (amount invested in dogwood trees)
R = $20,000 (amount invested in red maple trees)
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Rewritten by : Jeany
$38,000 is invested in red maple and $12000 in dogwood trees as if the total inventory is $50,000 as per the given data.
The given data is as follows:
inventory cost = $50,000
profit on a dogwood tree = 24%
profit on red maple tree = 10%
profit for the entire stock = 17%
Let us suppose the following things
x = dogwood inventory percentage
and, (50,000 - x) = red maple tree inventory percentage
And, the amount of profit is
= $50,000 × 0.24
amount of profit = $12,000
Now the equation would be
0.24x + 0.10 × ($50,000 - x) = $12,000
0.24x + $5000 - 0.10x = $12,000
0.14x = 7,000
x = 50,000 = dogwood
So, the red maple would be
= 50,000 - 12,000
red maple = $38,000
Therefore we can conclude that $38,000 is invested in red maple and $12000 in dogwood trees.
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