Question

Question 7
1 Point
The manufacturing of a new fad kid's toy costs y = 0.3x+7,200 and the revenue from sales of the new toy is
y = 1.2x where y is measured in dollars and x is the number of toys. Find the break-even point for the toys.

Answer 1

The break-even point for the toys is 8000

How to find the break-even point for the toys?

The equations are given as:

Cost function of the toys => y = 0.3x + 7200

Residual function => y = 1.2x

The break-even point for the toys is the point where the cost and the residual are equal.

So, we have

1.2x = 0.3x  7200

Subtract 0.3x from both sides of the equation

0.9x = 7200

Divide both sides by 0.9

x = 8000

Hence, the break-even point for the toys is 8000

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