please answer this question with explanation

Poly Products sells packaging tape to industrial customers. All tape is sold in loo-foot rolls that are cut in various widths from a master roll, which is 15 inches wide. The product line consists of the following widths: 2". 3", 5\". 7" and 11" These can be cut in different combinations from a 15-inch master roll. For example. one combination might consist of three cuts of 5" each. Another combination might consist of two 2" cuts and an 11" cut. Both of these combinations use the entire 15-inch roll without any waste, but other combinations are also possible. For example. another combination might consist of two T' cuts. This combination creates one inch of waste for every roll cut this way. Each week. Poly Products collects demands from its customers and distributors and must gure out how to congure the cuts in its master rolls. To do so. the production manager lists all possible combinations of cuts and tries to t them together so that waste is minimized while demand is met. (In particular, demand must be met exactly. because Poly Products does not keep inventories of its tape.) This week's demands are shown below. m 2 3" 5n 7\" 11\" 2o oo 40 so 60 Formulate a linear program to build a production schedule that minimizes the number of rolls used in production. You may include some integer or binary variables, please clearly identify these. You do not need to solve the program