Write a Profit Formula for This Mixture Problem: Kim and Lynn

question 107

Multiple Choice

Write a profit formula for this mixture problem: Kim and Lynn produce tables (x) and chairs (y) . Each piece is assembled, sanded, and stained. A table requires two hours to assemble, three hours to sand, and three hours to stain. A chair requires four hours to assemble, two hours to sand, and three hours to stain. The profit earned on each table is $20 and on each chair is $12. Together Kim and Lynn spend at most 16 hours assembling, 10 hours sanding, and 13 hours staining.

• A) P = 20x + 12y
• B) P = 2x + 3y + 3z
• C) P = 16x + 10y + 13z
• D) P = 8x + 9y

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Definitions:

Primary Section

The initial or first part of a system, process, or document that precedes all others and usually contains fundamental components or information.

Ignition System

That part of a gasoline-powered engine that provides the heat to ignite the air-fuel mixture in the combustion chamber by sending a high-voltage spark through a spark plug gap.

Battery Voltage

The electric potential difference measured across the terminals of a battery, indicating the battery's charge state.

Atkinson Cycle

A modified four-cycle gasoline engine. Compared to the conventional model, the intake stroke in the Atkinson cycle is allowed to continue longer, until the piston is moving back up to compress the air-fuel mixture. This forces some of the air-fuel charge from the cylinder and back into the intake. The reduced charge generates less power but also uses less fuel and produces fewer emissions.