Two Machines Are Under Consideration for a New Production Line

question 4

Short Answer

Two machines are under consideration for a new production line. Machine X costs $50,000 and is expected to have a salvage value of $6500 at the end of its useful life of 5 years. It will have a fixed cost of $16,000 per year and a variable cost of $55 per unit per year. On the other hand, machine Y costs $55,000 and is expected to have a salvage value of $7000 at the end of its useful life of 7 years. It will have a fixed cost of $14,500 per year and a variable cost of $58 per unit per year. Determine the quantity that must be produced for the two machines to break even at an interest rate of 3% per year.

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Definitions:

Phosphoric Acid

A weak acid with the chemical formula H3PO4, widely used in detergents, fertilizers, and food processing.

Thymine

A pyrimidine nucleobase found in DNA, pairing with adenine, crucial for DNA stability and integrity.

Nucleic Acids

Biopolymers essential to all known forms of life, which carry genetic information in cells and are made up of sequences of nucleotides.

Adenine

One of the four nucleobases in the nucleic acid of DNA that are represented by the letters G–C–A–T.