Saturday

February 28, 2015

February 28, 2015

Posted by **pj** on Friday, February 6, 2009 at 9:54pm.

The shop should build _____ bicycles.

Could you please help me!!!!

- Algebra -
**drwls**, Friday, February 6, 2009 at 10:38pmDon'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

**Answer this Question**

**Related Questions**

Algebra 2 - Aki's Bicycle Designs has determined that when x hundred bicycles ...

Algebra 2 - I apologize for that. I didn't realize I didn't write the whole ...

algabra - Aki’s Bicycle Designs has determined that when x hundred bicycles are ...

math - Aki’s Bicycle Designs has determined that when x hundred bicycles are ...

algebra 2 - Aki's Bicycle Designs has determined that when x hundred bicycles ...

Algebra - Aki’s Bicycle has determined that when x hundred bicycles are built, ...

algebra - Aki's Bicycle Design has determined that when x hundred bicycles are ...

algebra - AKI'S bicycyle designs has determined that when x hundreds bicycles ...

Quadratic equations- word problem - The question is- Aki’s Bicycle Designs has ...

Algebra - Aki's Bicycle Design has determined that when x hundred bicycles are ...