Answer:
The weekly revenue is maximum at x=1.67.
Explanation:
The given function is
.... (1)
where, f(x) is the total revenue at price x.
We need to find the price x at which the weekly revenue is maximum.
The leading coefficient of the given function is -300, which is a negative number. So, it is a downward parabola and vertex of a downward parabola is the the point of maxima.
If a parabola is defined as
... (2)
then the vertex of the function is
From (1) and (2) it is clear that
The given function is maximum at
Therefore the weekly revenue is maximum at x=1.67.
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Answer:
Esquire should purchase machine B since its present value is lower than machine B's ($69,917.73 < $73,356.18)
Explanation:
Machine A:
PV of purchase cost $63,000
PV of maintenance costs = $2,000 x 6.7101 (PV annuity factor, 10 periods, 8%) = $13,420.20
PV of resale value = -$6,615 / 1.08¹⁰ = -$3,064.02
total PV = $63,000 + $13,420.20 - $3,064.02 = $73,356.18
Machine B:
PV of purchase cost $52,500
PV of maintenance costs:
- $8,000 / 1.08³ = $6,350.66
- $10,000 / 1.08⁶ = $6,301.70
- $12,000 / 1.08⁸ = $4,765.37
total PV = $69,917.73
Answer:
$82,500
Explanation:
the journal entry to record the bond issuance
Dr Cash 1,650,000
Cr Bonds payable 1,650,000
bonds sold at par
Every 6 months it will pay = $1,650,000 x 10% x 1/2 = $82,500
journal entry to record first coupon payment
Dr Interest expense 82,500
Cr Cash 82,500
