Answer:
$8,693
Explanation:
Effective annual interets rate: AI = (1+i/m)^n - 1
i = 3*2=6%, m = 26
AI = [1+6%/26]^26 - 1
AI = 1.0617 - 1
AI = 0.0617
Let semi annual income be $X. So, present value of four semiannual income will be aggregated to get principal invetsed money of $30,000
30,000 = ∑[X/1.0617^n}
30,000 = 3.451 * X
X = 8693.132425383947
X = $8,693
Therefore, firm have to earn $8,693 after every 6 months at an interest rate of 3% per week to recover $30,000 initial investment in 2 years
It may be A but if it isn't I'm sorry
Answer: $135
Explanation:
First find the future value of the proceeds.
= 10,000 * (1 + 5%)⁷
= $14,071
The monthly payments are equal so X is an annuity and as the payment is made immediately, this is an Annuity due.
Convert the interest rate into monthly figure:
= 3%/12
= 0.25%
Present value of annuity = Annuity * (( 1 - (1 + r)^-n ) / r) * (1 + r)
14,071 = Annuity * ((1 - (1 + 0.25%) ⁻¹²⁰) / 0.25%) * (1 + 0.25%)
14,071 = Annuity * 103.82
Annuity = 14,071 / 103.82
= $135.53
= $135
Answer:
Please see attached solution
Explanation:
a. Total manufacturing overhead costs allocated $356,400
b. Variable manufacturing overhead spending variance $40,500U
c. Fixed manufacturing overhead spending variance $17,600U
d. Variable manufacturing overhead efficiency variance $19,500F
e. Production volume variance $39,200F
Please find attached detailed solution to the above questions
Answer:
d. Constraint
Explanation:
The dependent variable variations are explained as an effect, due to variations in causal independent variables. The dependent variable might be in form of an objective function, as a function of independent variables, which needs to be maximised or minimised. Constraint is a limitation to the objective function maximisation / minimisation.
Given case : Introducing product in new markets (through telemarketers) & conducting research about success of sales efforts - has 'Sales' as the main objective function to be maximised, dependent on independent variable like Telemarketers . Constraint could be any restriction in form of budget , time (six months time mentioned)
