16. choose the best answer.\na company produces toy cars of all colors. three out of every 200 cars have to…

Explanation:

Step1: Calculate number of rejected cars

For 600 cars, the number of rejected cars is $\frac{3}{200}\times600 = 9$ cars.

Step2: Calculate total replacement cost

The cost to replace the rejected cars is $9\times2 = 18$ dollars.

Step3: Calculate total potential profit without rejects

The potential profit from selling 600 cars without rejects is $600\times1=600$ dollars.

Step4: Calculate actual profit

The actual profit is $600 - 18=582$ dollars.

Step5: Calculate profit per car

The profit per car is $\frac{582}{600}=0.97$ dollars or 97 cents. But we made a mistake above. Let's do it another way.

Let's consider the profit - loss for each "batch" of 200 cars. For 200 cars: Profit without rejects: $200\times1 = 200$ dollars Replacement cost for 3 cars: $3\times2=6$ dollars Net profit for 200 cars: $200 - 6=194$ dollars Profit per car for 200 - car batch: $\frac{194}{200}=0.97$ dollars or 97 cents.

If we calculate in a more step - by - step way for 600 cars: For 600 cars, assume the profit per car is $x$. The total revenue from selling 600 cars is $600\times(1 + x)$ (where 1 is the base profit margin per car). The cost of replacing rejected cars: $\frac{3}{200}\times600\times2=18$ dollars The total revenue without considering rejects is $600\times1 = 600$ dollars We know that $600-18 = 600x$ $x=\frac{600 - 18}{600}=\frac{582}{600}=0.955$ dollars or 95.5 cents

Answer:

95.5 cents