an automobile manufacturer, who spent $500 million to develop a new line of cars, wants the cost of…

an automobile manufacturer, who spent $500 million to develop a new line of cars, wants the cost of development and production to be $12,000 per vehicle. if the production costs are $10,000 per vehicle, then the cost per vehicle for development and production of x vehicles is $\frac{10000x + 500,000,000}{x}$ dollars (why?). solve the equation to find the number of vehicles that must be sold so that the cost of development and production is $12,000 per vehicle. $\frac{10000x + 500,000,000}{x}=12000$

an automobile manufacturer, who spent $500 million to develop a new line of cars, wants the cost of development and production to be $12,000 per vehicle. if the production costs are $10,000 per vehicle, then the cost per vehicle for development and production of x vehicles is $\frac{10000x + 500,000,000}{x}$ dollars (why?). solve the equation to find the number of vehicles that must be sold so that the cost of development and production is $12,000 per vehicle. $\frac{10000x + 500,000,000}{x}=12000$

Answer

Explanation:

Step1: Multiply both sides by x

Multiply both sides of the equation $\frac{10000x + 500000000}{x}=12000$ by $x$ to get $10000x + 500000000=12000x$.

Step2: Move terms with x to one side

Subtract $10000x$ from both sides: $500000000=12000x - 10000x$.

Step3: Simplify the right - hand side

Simplify the right - hand side: $500000000 = 2000x$.

Step4: Solve for x

Divide both sides by 2000: $x=\frac{500000000}{2000}=250000$.

Answer:

250000