Question

The following equation: C=43x+14100gives the total cost, in dollars, to produce x units of a product at a factory. If the monthly operating budget of the factory is $35170, how many units can be produced there in that month?Answer: In that month, ________ units can be produced for $35170.

Answer 1

We have

C is the cost

x is the units of a product at the factory

If

C= 35170

we need to find the value of x

The equation given is

`C=43x+14100`

so we have the value of C, so the equation if we substitute the value of C is

`35170=43x+14100`

we need to isolate the x

`\begin{gathered} 35170-14100=43x \\ 21070=43x \\ x=(21070)/(43) \\ x=490 \end{gathered}`

In that month,490 units can be produced for $35170.​