superpus07 wrote:

Ken wants to ship abroad 16 cubic meters of fine fabric. Shipping costs $(x+y) per cubic meter for the first N cubic meters, and $(x−y) per cubic meter, for the part of the volume that exceeds N cubic meters. How much will Ken pay for the shipment, in dollars, in terms of N,x and y?

A. 16x+(2N-16)y

B 16x+2(16-N)y

C. (16-N)y+N*x

D. N*x+2(16-N)y

E. 16(x-y)+N*y

Hi,

Case 1: 16>N

For first N volume, cost = N(x+y)

for rest of the volume, (16-N), cost = (16-N)(x-y)

total = N(x+y)+(16-N)(x-y) = 16x+(2N-16)y

Case 2: N>16,

Total cost = 16(x+y)

Clearly, we get the answer from first case.

Answer (A)

Regards,