A firm producing two goods, x and y, has the cost function given by C( x , y )=(1/100)x 2 −10x+(1/300)y 3 −9y+20,600 a. Find the cost minimizing level of output for each of the two goods. b. Check to...

A firm producing two goods, x and y, has the cost function given by
C( x , y )=(1/100)x²−10x+(1/300)y³−9y+20,600
a. Find the cost minimizing level of output for each of the two goods.
b. Check to be sure cost is minimized.

c. Find the corresponding cost.