A firm has the production function y = min{x1, x2} + min{x3, x4}. This firm faces competitive factor markets where the prices fo
r the four factors are w1 = $4, w2 = $8, w3 = $5, and w4 = $3. The firm must use at least 20 units of factor 2. What is the minimum cost of producing 100 units of output?
1 answer:
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Answer:
cash 96,535 debit
discount on BP 3,465 debit
Bonds Payable 100,000 credit
Explanation:
We need to determinate the price at which the bonds were issued:
Which is the present value of the coupon payment and maturity
Coupon payment: 100,000 x 10% / 2 = 5,000
time 4 (2 years x 2 payment per year)
rate 0.06 (12% annual / 2 = 6% semiannual)
PV $17,325.5281
Maturity (face value) $100,000.00
time 4.00
rate 0.06
PV 79,209.37
PV c $17,325.5281
PV m $79,209.3663
Total $96,534.8944
As the bonds are issued below face value there is a discount:
100,000 - 96,535 = 3,465
the entry will recognize the cash procceds and the creation of a liaiblity
we will also use an auxiliar account for the discount on the bonds
Answer:
$1,282.80
Explanation:
The PMT formula is used for this question. The attachment is shown below:
The NPER shows the time period
Given that,
Present value = $300,000 - $30000 = $270,000
Future value = $0
Rate of interest = 4% ÷ 12 months = 0.33%
NPER = 30 years × 12 months = 360 months
The formula is shown below:
= PMT(Rate;NPER;-PV;FV;type)
The present value come in negative
So, after solving this, the answer is $1,282.80
