Answer:

since 

Explanation:
U(q₁ q₂)

Budget law can be given by

Lagrangian function can be given by

First order condition csn be given by



From eqn (i) and eqn (ii) we have

Putting
in euqtion (iii) we have

since 

Answer:
As you are starting at 45 years until 65 years, meaning you got only 20 years. So, the best investment options I recommend are,
- Certificate of Deposit
- Bonds
- Mutual Funds
Explanation:
First of all, in terms of investing, 20 year time span is NOT that beneficial or wise! Because as you know, to gain the true effect of compounding, it is always better to start early and go on for about 30 or 40 years, even 50! Google about "Warren Buffet"!
However, in this case, the 3 options mentioned above are much better. But I'm not saying others are bad.
Certificate of deposits, Bonds and Mutual funds are relatively less riskier and does not fluctuate much with the market.
Moreover, the interest yields are preferably higher.
Given that the interest rate remains relatively at a higher lever, these 3 options will pay of a decent contribution through compounding over the course of 20 years.
Answer: Fujitsu Siemens Computers is a legally independent company of which Fujitsu and Siemens each own 50 percent. This collaboration is an example of a(n) JOINT VENTURE, which is effective at transferring KEY KNOWLEDGE.
Explanation: A joint venture is a kind of business formation which involves the coming together of two or more independent companies retaining their individual identities but functioning in some areas as one.
The companies involved in a joint venture come together to share key ideas used to improve each other and also funding.
Answer:
The Break Even Point is the Sales Value that will cover the cost of production. Meaning the Sales Value that will bring profitability to Zero
Break Even sales for Company wide = $378,000
Break Even Value for Chicago is $111,429
And Break Even Value for Minneapolis is $120,000
The Addition of both Outlets/Offices Break Even Sales is less than the Company-wide because the Offices don't share in the Common Fixed Expense as these are specific to Group reporting.
Explanation: