Answer:
About the Lagrangian method,
We can use it to solve both consumer's utility maximization and firm's cost minimization problems.
Explanation:
Lagrangian method is a mathematical strategy for finding the maxima and the minima of a function subject to equality constraints. Equality constraints mean that one or more equations have to be satisfied exactly by the chosen values of the variables. Named after the mathematician, Joseph-Louis Lagrange, the basic idea behind the Lagrangian method is to convert a constrained problem into a Lagrangian function.
Answer:
1. the prices of existing bonds would rise
Explanation:
General Interest rates and price of a bond are inversely related. The market interest rate also reflects an investors expected rate of return also referred to as yield to maturity i.e YTM.
Mathematically, price of a bond is the present value of it's future stream of coupon payments as well as principal repayments discounted at investors expected rate of return i.e YTM.
So, when market interest rates fall in general, this would lead to a rise in the price of bonds as general interest rates represent yield to maturity.
Answer:
a.The ending work in process inventory is $ 146,575
Explanation:
To determine the ending work in process inventory, we need to do the following computations:
No of units in ending inventory 22,000 units
Material cost in ending inventory
22,000 units * 100 % (completion) * $ 2.65 $ 58,300
Conversion costs in ending inventory
22,000 units * 75 % (completion) * $ 5.35 <u> $ 88,275</u>
Total value of Ending work in process inventory <u> $ 146,575</u>
Answer: indemnification
Explanation: The indemnification clause is essentially the other party's obligation to compensate your damages if they do something that hurts you or allows you to be sued by a third party.
Indemnifying and keeping innocent means the same thing — making it whole after a defeat. Usually, but not always, the obligation to indemnify is reconcilable with the contractual obligation to "keep harmless" or "save harmless.
Hence from the above we can conclude that Rangle has right of indemnification.
Answer:
0.4868%
$615.47
Explanation:
Given that
a. EAR = 6%
Thus,
Equivalent monthly rate = (1 + r)^n - 1
Where r = EAR
Therefore
= (1 + 0.06)^1/12 - 1
= 1.0048675 - 1
= 0.0048675 × 100
= 0.4868%
b. Given that
Monthly rate = 0.4868%
Future value = 100,000
Time = 10 years
Recall that
FV annuity formula = C × (1/r) × ([1 + r ]^n - 1)
Where
C = payment
Therefore
100000 = C (1/0.004868) × ([1 + 0.004868]^120 - 1)
C = 100,000/(1/0.004868) × ([1 + 0.004868]^120 - 1)
C = $615.47 per month
