Use the Data Shown Below to Answer the Following Question(s)

question 10

Multiple Choice

Use the data shown below to answer the following question(s) .
Malone Inc.has identified five potential new processes; however,the firm is constrained by its available budget and human resources.Each process is expected to generate a return (given by the net present value) but requires a fixed amount of cash and personnel.Because the resources are limited,all processes cannot be selected.Processes cannot be partially completed; thus,either the process must be undertaken completely or not at all.The data are given in the table below.If a process is selected,it generates the full value of the expected return and requires the full amount of cash and personnel shown in the table.Define X_i = 1 if process i is selected,and 0 otherwise.
-Identify the expression that explains the cash limitation.

• A)$27,500X₁ + $41,500X₂ + $12,000X₃ + $24,500X₄ + $61,000X₅ ≤ $150,000
• B)$90,000X₁ + $110,000X₂ + $75,000X₃ + $70,000X₄ + $100,000X₅ ≤ $150,000
• C)$27,500X₁ + $41,500X₂ + $12,000X₃ + $24,500X₄ + $61,000X₅ ≥ $150,000
• D)$90,000X₁ + $110,000X₂ + $75,000X₃ + $70,000X₄ + $100,000X₅ ≥ $150,000

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Definitions:

Gangue

The valueless minerals or rock that are mined along with valuable minerals or ore, typically disposed of as waste.

Profitably Extractable

Refers to natural resources that can be mined or harvested at a profit, considering the current market prices and extraction costs.

Compacted Plant Remains

Organic matter that has been compressed over time into solid formations, often contributing to the formation of coal and other fossil fuels.