Simplifying
(2a + 5)(3a + -4) = 0
Reorder the terms:
(5 + 2a)(3a + -4) = 0
Reorder the terms:
(5 + 2a)(-4 + 3a) = 0
Multiply (5 + 2a) * (-4 + 3a)
(5(-4 + 3a) + 2a * (-4 + 3a)) = 0
((-4 * 5 + 3a * 5) + 2a * (-4 + 3a)) = 0
((-20 + 15a) + 2a * (-4 + 3a)) = 0
(-20 + 15a + (-4 * 2a + 3a * 2a)) = 0
(-20 + 15a + (-8a + 6a2)) = 0
Combine like terms: 15a + -8a = 7a
(-20 + 7a + 6a2) = 0
Solving
-20 + 7a + 6a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-5 + -2a)(4 + -3a) = 0
Subproblem 1
Set the factor '(-5 + -2a)' equal to zero and attempt to solve:
Simplifying
-5 + -2a = 0
Solving
-5 + -2a = 0
Move all terms containing a to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -2a = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -2a = 0 + 5
-2a = 0 + 5
Combine like terms: 0 + 5 = 5
-2a = 5
Divide each side by '-2'.
a = -2.5
Simplifying
a = -2.5
Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:
Simplifying
4 + -3a = 0
Solving
4 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4
Combine like terms: 0 + -4 = -4
-3a = -4
Divide each side by '-3'.
a = 1.333333333
Simplifying
a = 1.333333333
Solution
a = {-2.5, 1.333333333}
Here, we are decide the best option between making the part or buying the part.
a. Make or Buy Analysis
Particulars Make amount Buy amount
Direct Materials $4.50
Direct Labor $1.00
Overhead (80% of Direct Labor) $0.80
Cost to buy <u> </u> <u>$4.70</u>
Cost per unit <u>$5.70 </u> <u>$4.70</u>
Cost Difference = $5.70 - $4.70
Cost Difference = $1.00
Therefore, the cost difference of making amount over buying amount is $1.00.
b. Because of the difference, Beto should buy the part because its cost is lesser than to make the part.
Therefore, the buying of the part is the best decision.
See similar solution about Analysis
<em>brainly.com/question/23287319</em>
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Answer:
C) $40,000 inventory basis, $15,000 JM basis.
Explanation:
JM distributed $80,000 worth of inventory, since Marcella has a 50% partnership interest, then half of the inventory belongs to her, $40,000 (= $80,000 / 2).
Since Marcella also received $10,000 in cash from JM, then her remaining basis in the partnership is:
$65,000 - $40,000 - $10,000 = $15,000
Answer:
10.20%
Explanation:
According to the Gordon constant growth model :
value = D1 / r - g
D1 = next dividend = $4.25
r = required return
g = growth rate = 3%
value = $59
$59 = $4.25 / r - 0.03
4.25 / 59 = r - 0.03
0.072034 = r - 0.03
r = 0.102034
r = 10.20%
