Suppose a Company Manufactures Two Types of Wood-Burning Stoves: a Freestanding

Multiple Choice

Suppose 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 $C = 32 \sqrt { x y } + 175 x + 205 y + 1050 . \text { Find the marginal costs } \frac { \partial C } { \partial x } \text { when }$ $x = 70$ and $y = 80$ . Round your answer to the nearest integer.

A) 192
B) 234
C) 210
D) 402
E) 403