A Company Manufactures Two Types of Wood-Burning Stoves: a Freestanding $C = 30 \sqrt { x y } + 160 x + 195 y + 1050$

Multiple Choice

A company manufactures two types of wood-burning stoves: a freestanding model and a fireplace-insert model. The cost function for producing x freestanding and y fireplace-insert stoves is $C = 30 \sqrt { x y } + 160 x + 195 y + 1050$ . Find the marginal costs ( $\partial C / \partial x$ and $\partial c / \partial y$ ) when $x = 60$ and $y = 10$ . Round your answers to two decimal places.

A) $\partial C / \partial x = 160.61 , \partial C / \partial y = 195.61$
B) $\partial C / \partial x = 172.25 , \partial C / \partial y = 268.48$
C) $\partial C / \partial x = 161.94 , \partial C / \partial y = 199.74$
D) $\partial C / \partial x = 166.12 , \partial C / \partial y = 231.74$
E) $\partial C / \partial x = 254.87 , \partial C / \partial y = 427.38$