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. A new requirement is added such that the number of rolls in each pattern should be greater than $30.$ Then which of the following statements is true?

A$.$

The total number of rolls used is greater than $410$

B$.$

The number of rolls in cutting pattern B is $80$

C$.$

Both A and B

D$.$

Neither A nor B