Solve applications involving Rational Functions
Interactive practice questions
Nonosys Corp. wishes to calculate the average cost per item of producing snowboards. The fixed monthly cost of production is $\$200000$$200000 and each snowboard produced costs $\$100$$100.
Write an expression for $C\left(x\right)$C(x), the cost in dollars for producing $x$x snowboards in a single month.
Write the average cost function, $A\left(x\right)$A(x), of producing $x$x snowboards.
Find the number of snowboards that Nonosys Corp. needs to produce each month so that the average cost of production per snowboard is $\$600$$600.
CosmoBot Pty. Ltd. wishes to calculate the average cost per item of producing car batteries. The fixed monthly cost of production is $\$20000$$20000 and each car battery produced costs $\$10$$10.
The average cost function for a certain product is described by some equation
$A\left(x\right)=\frac{P+Cx}{x}$A(x)=P+Cxx
where $P$P is the base cost of production and $C$C is the cost of producing each item.
Consider the fraction $\frac{10}{33}$1033. The numerator is multiplied by certain number and that same number is added to the denominator. The resulting fraction is equivalent to $\frac{5}{6}$56.