# Algebra

posted by .

Aki's Bicycle designs has determined that when x hundred bicyles are built, the average cost per bicycle is given by C(x)=0.6^2-0.5x+4.021, where C(x) is in hundreds of dollars. How many biccles should the shop build to minimize the average cost per bicycle?

The shop should build _____ bicycles.

• Algebra -

Don't you mean

C(x)=0.6 x^2 - 0.5x + 4.021 ?

I think you left out an x.
Since you are not taking calculus, I will assume that you are supposed to answer this question by turning C(x) into a "perfect square" plus a constant.

C(x)= 0.6 x^2 - 0.5x + 4.021
0.6 [x^2 - (5/6)x + (5/12)^2] + 3.916
= 0.6(x - 5/12)^2 + 3.916

This is a minimum when x = 5/12. that means the number of bicyles is (5/12)*100 = 41.7

Pick x = 0.42 instead of 0.41, since it is closer to 5/12 and 100x must be an integer.

Proof: If x = 0.41, C(x) = 3.91686
if x = 0.42, C(x) = 3.91684
if x = 0.43, C(x) = 3.91694

## Similar Questions

1. ### Quadratic equations- word problem

The question is- Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.6x^2-0.8x+10.618, where C(x) is in hundreds of dollars. How many bicycles should the …
2. ### algebra

Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle =0.9x^2-1.7x+10.861, when C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost …
3. ### Algebra 2

I apologize for that. I didn't realize I didn't write the whole problem. Thank you for pointing that out to me. Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by c(x) …
4. ### math

Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by , where is in hundreds of dollars. How many bicycles should the shop build in order to minimize the average cost …
5. ### algebra 2

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by c(x) =0.1x^2 -0.5x+ 9.295 Thank you for your help
6. ### Algebra 2

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by c(x) =0.1x^2 -0.5x+ 9.295. Where C(x) is in hundreds of dollars, how many bicycles should the shop build to minimize …
7. ### Algebra

Aki’s Bicycle has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=-0.2x^2-0.1x+9.743, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the …
8. ### algabra

Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.1x^2-1.2x+9.457, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize …
9. ### algebra

AKI'S bicycyle designs has determined that when x hundreds bicycles are built the average cost per bike is given C(x)=0.1x^2-1.4x+10.766. Where C(x)is in hundreds of dollars. How many bicycles should the shop build to minimize the …
10. ### college algebra

Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x) =0.1x^2−1.4x+8.096​, where​ C(x) is in hundreds of dollars. How many bicycles should the shop build …

More Similar Questions