Solve the Problem $\$ 35$ Each Her One-Time Initial Cost to Produce Each 3 -Hr

question 251

Multiple Choice

Solve the problem.
-A chess master creates instructional videos about various opening strategies. She sells the videos in 3 -hr packages for $\$ 35$ each. Her one-time initial cost to produce each 3 -hr video package is $\$ 4,600$ (this includes labor and the cost of computer supplies) . The cost to package and ship each DVD is \$2.95.
a. Write a linear cost function that represents the cost $C ( x )$ to produce, package, and ship $x 3 - \mathrm { hr }$ video packages.
b. Write a linear revenue function to represent the revenue $R ( x )$ for selling $x 3$ -hr video packages.
c. Evaluate $( R - C ) ( x )$ and interpret its meaning in the context of this problem.

• A) a. \(C ( x ) = 8.85 x + 4,600\);
• b. \(R ( x ) = 35 x\)
• c. \(( R - C ) ( x ) = 26.15 x - 4,600\) represents
• the profit for selling \(x\) DVDs.
• B) a. \(C ( x ) = 35 x\)
• b. \(R ( x ) = 2.95 x + 4,600\);
• c. \(( R - C ) ( x ) = 32.05 x - 4,600\) represents
• the profit for selling \(x\) DVDs.
• C) a. \(C ( x ) = 2.95 x + 4,600\);
• b. \(R ( x ) = 35 x\)
• c. \(( R - C ) ( x ) = 32.05 x - 4,600\) represents
• the profit for selling \(x\) DVDs.
• D) a. \(C ( x ) = 8.85 x + 4,600\);
• b. \(R ( x ) = 35 x\)
• c. \(( R - C ) ( x ) = 4,600 - 26.15 x\) represents
• the profit for selling \(x\) DVDs.

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Definitions:

Behaviors

Actions or reactions of an individual in response to external or internal stimuli, often studied in psychology to understand the underlying factors influencing human actions.

Deprivation

A period of time prior to a training session during which an individual does not experience the reinforcer in order to increase the reinforcer's effectiveness.

Reinforcer

Any stimulus that strengthens or increases the likelihood of a specific response or behavior by being presented immediately after that response or behavior.

Effectiveness

The degree to which a method, intervention, or action achieves its intended outcome or result.