SOLUTION: A toy factory produces wooden puzzles that get sold in toy stores. The cost per puzzle, C (in dollars), to produce the puzzles, p (in hundreds) on any given day is modeled by the c

Algebra.Com
Question 1013609: A toy factory produces wooden puzzles that get sold in toy stores. The cost per puzzle, C (in dollars), to produce the puzzles, p (in hundreds) on any given day is modeled by the cost function below.
C= 0.006p (squared) - 0.036p + 0.7
Find the number of puzzles that the factory should make each day to minimize the cost per puzzle

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

is plotted on the vertical axis
is plotted on the horizontal axis
You need to find the point ( C,p ) where
is a minimum
-------------------------------
The formula for when is a
minimum is:
when the equation
is in the form:



---------------



-----------------
making 3 puzzles/day will minimize
the cost/puzzle
--------------------
check:
Here's the plot:

Answer could be right.
Plug and into the
equation and see if is NOT a minimum in each case

RELATED QUESTIONS

The Wooden Toy Company makes puzzles and blocks. Each set of blocks takes 30 minutes to... (answered by Theo)
in a toy factory 200 wooden solid cylinder 7 cm long and 35 mm in diameter have to be... (answered by mananth)
Last year, Pinwheel Industries introduced a new toy. It cost $1500 to develop the toy and (answered by CubeyThePenguin)
Last year, Pinwheel Industries introduced a new toy. It cost $8000 to develop the toy and (answered by josgarithmetic)
The cost, c, in dollars for the Toots Toy company to produce q units of toots is given by (answered by MathLover1)
the cost, c, in dollars for the Toots Toy company to produce q units of toots is given... (answered by MathLover1)
The cost, c, in dollars for the Toots Toy company to produce q units of toots is given by (answered by ikleyn)
I have been stuck on this for some time now and do not really know where to start. Help... (answered by rothauserc)
QUESTION 2 A designer is working on a wooden puzzle that is in the shape of an... (answered by Fombitz)