A paper mill has received an order for rolls of paper. The customer wants $400$ rolls that are $12"$ wide, $300$ rolls that are $18"$ wide and and $200$ rolls that are $24"$ wide. The company has $40"$ wide rolls of paper which can be cut to the appropriate width. The company has four cutting patterns. Pattern A will cut $($from one $40"$ wide roll$)$ three rolls of $12".$ Pattern B will cut one roll of $12"$ and one roll of $18".$ Pattern C will cut one roll of $12"$ and one roll of $24".$ Pattern D will cut two rolls of $18".$ What is the number of $40"$ wide rolls the company must use to fill the order? Production may exceed demand. Refer to the Paper Cutting Problem. Start with the original information. The customer increases his demand for $12"$ rolls from $400$ to $450.$ Production can exceed demand. In this case:

A$.$

The number of rolls used for cutting pattern B is zero

B$.$

The total number of rolls used is $434$

C$.$

Both A and B

D$.$

Neither A nor B