Total Cost and Production Units

The video tutorial explains how to use a cost function, C(Q) = 4.5Q + 41,500, to calculate the total cost of producing a certain number of units. It demonstrates the process of finding the total cost for producing 6,200 units and solving for the number of units that can be produced with a given total cost of $53,380. The tutorial provides step-by-step calculations and concludes with a summary of the concepts covered.

What is the formula for the total cost C(Q) to produce Q units?

• C(Q) = 4Q + 42,000

• C(Q) = 4.5Q + 41,500

• C(Q) = 4.5Q + 40,000

• C(Q) = 5Q + 40,000

How much does it cost to produce 6,200 units?

• $71,000

• $68,000

• $69,400

• $70,000

What is the result of 4.5 multiplied by 6,200?

• 28,000

• 27,900

• 26,900

• 29,000

What is the first step to find the number of units that can be produced for a total cost of $53,380?

• Add 41,500 to both sides

• Multiply both sides by 4.5

• Divide both sides by 4.5

• Subtract 41,500 from both sides

After subtracting 41,500 from both sides, what is the next step to solve for Q?

• Multiply by 4.5

• Subtract 4.5

• Divide by 4.5

• Add 4.5

What is the value of Q when the total cost is $53,380?

• 2,700 units

• 2,640 units

• 2,800 units

• 2,500 units

What is the total cost when 2,640 units are produced?

• $53,380

• $54,000

• $52,000

• $55,000