Find the Requested Expression for the Function $x$ Percent of an Oil Spill As

Multiple Choice

Find the requested expression for the function.
-A cost-benefit model expresses the cost of an undertaking in terms of the benefits received. One cost-benefit model gives the cost in thousands of dollars to clean up $x$ percent of an oil spill as $c(x) =\frac{7.5 x}{50-x}$ . Another model produces the relationship $c(x) =\frac{7.2 x}{52-x}$ . Find the cost function found by averaging the two models. Simplify the expression for this function by performing the indicated operations.

A) $c(x) =\frac{750 x-14.7 x^{2}}{2(50-x) (52-x) }$

B) $c(x) =\frac{750 x-14.7 x^{2}}{(50-x) (52-x) }$

C) $c(x) =\frac{735.6 x-15.7 x^{2}}{(50-x) (52-x) }$

D) $c(x) =\frac{1500 x-29.4 x^{2}}{(50-x) (52-x) }$