Factory Cost and Production Analysis

The video tutorial explains how to determine the number of units that can be produced in a month given a factory's operating budget. It introduces a cost equation, substitutes the budget into the equation, and solves for the number of units using basic algebraic steps. The process involves isolating the variable and performing division to find the solution, which is then verified using a calculator.

What does the equation c = 19x + 12,100 represent in the context of the factory?

• The total revenue generated by the factory.

• The total cost to produce x units.

• The profit made from selling x units.

• The number of employees in the factory.

What is the monthly operating budget of the factory?

• $21,980

• $12,100

• $9,880

• $19,000

What is the first step in setting up the equation to find the number of units produced?

• Multiply both sides by 19.

• Add 12,100 to both sides.

• Set the total cost equal to the budget.

• Divide both sides by x.

What operation is performed to isolate the term 19x in the equation?

• Division

• Multiplication

• Subtraction

• Addition

After subtracting 12,100 from both sides, what is the resulting equation?

• 19x = 0

• 19x = 12,100

• 19x = 9,880

• 19x = 21,980

What is the final step to solve for x in the equation 19x = 9,880?

• Subtract 19 from both sides.

• Divide both sides by 19.

• Add 9,880 to both sides.

• Multiply both sides by 19.

How many units can be produced with a budget of $21,980?

• 480 units

• 520 units

• 450 units

• 600 units

What is the significance of the number 520 in the context of the problem?

• It is the monthly operating budget.

• It is the number of units that can be produced.

• It is the total cost in dollars.

• It is the number of employees in the factory.