The monthly cost C of producing x widgets (in dollars) is modeled by the function shown below.

C(x) =2500 + 4.8x + 0.002x^2

In this model 2500 represents fixed monthly costs and 4.8 is the individual cost of each unit being produced. The term 0.002x^2 represents additional costs that are significant only when the production level x is large. Such costs might include additional machinery, time-and-a-half pay, etc. If the maximum monthly cost the company can sustain is $10,500, determine the maximum production level. Round your answer down to the next whole number.

Question

The monthly cost C of producing x widgets (in dollars) is modeled by the function shown below.

C(x) =2500 + 4.8x + 0.002x^2

In this model 2500 represents fixed monthly costs and 4.8 is the individual cost of each unit being produced. The term 0.002x^2 represents additional costs that are significant only when the production level x is large. Such costs might include additional machinery, time-and-a-half pay, etc. If the maximum monthly cost the company can sustain is $10,500, determine the maximum production level. Round your answer down to the next whole number.

kj4uts · Answer

@Nnesha

kj4uts · Answer

Do I just plug in the $10,500 into the formula  C(x) =2500 + 4.8(10,500)  + 0.002(10,500) ^2?

kj4uts · Answer

attachment

nnesha · Answer

C= cost 
x= widgets 
so you should substitute C for  $10,500 solve for x

kj4uts · Answer

So like this then 10,500 =2500 + 4.8x + 0.002x^2

kj4uts · Answer

10,500 =2500 + 4.8x + 0.002x^2

I always get stuck here:

8,000=4.8x+0.002x^2

nnesha · Answer

you can use the quadratic formula to solve for x