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A financial advisor is about to build an investment portfolio for a client who has $100,000 to invest. The four investments available are A, B, C, and D. Investment A will earn 4 percent and has a risk of two "points" per $1,000 invested. B earns 6 percent with 3 risk points; C earns 9 percent with 7 risk points; and D earns 11 percent with a risk of 8. The client has put the following conditions on the investments: A is to be no more than one-half of the total invested. A cannot be less than 20 percent of the total investment. D cannot be less than C. Total risk points must be at or below 1,000.Identify the decision variables of this problem. Write out the objective function and constraints. Do not solve.
Residual Value
The estimated salvage value of an asset at the end of its useful life, representing what it could be sold for or would be worth at that future time.
Accumulated Depletion
The total amount of natural resource extraction charged as an expense over time to depreciate the asset's value.
Balance Sheet
An overview presenting a business's assets, liabilities, and the equity belonging to shareholders, captured at a particular instant.
Mining Rights
Legal permissions granted to extract minerals, oil, or gas from the land, potentially involving leasing or ownership arrangements.
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