Please clearly label answers by bolding them

A certain company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown. Complete parts a and b. Identify the objective function in a simple verbal expression. Choose the correct answer below. A. Maximize the profit by maximizing the sum the profits from each type of shoe. B. Minimize the material used by minimizing the sum of the materials used for each type of shoe multiplied by the amount of materials used for that type of shoe. C. Maximize the number of shoes produced by maximizing the sum of the number of model 1 shoes plus the number of model 2 shoes plus the number of model 3 shoes. D. Minimize the cost by minimizing the sum of the profits for each type of shoe multiplied by the cost of the materials for that type of shoe. Identify the constraints in simple verbal expressions. Select all that apply. A. For each of the four types of materials, the total amount of that material used to produce all shoe types must be less than or equal to the amount of that material that is available. B. The profit cannot be negative. C. For each of the three types of shoes, the number of shoes produced cannot be negative. D. For each of the four types of materials, the total number of shoes produced must be less than or equal to the amount of that material that is available. b. Mathematically formulate a linear optimization model. (Type integers or decimals. Do not round. Do not include the $ symbol in your answers.) =48M1+44M2+39M313M1+10M2+13M31,20023M1+20M2+21M31,50035M1+35M2+30M36,50012M1+12M2+10M31,100M1,M2,M30