Question 1 -- (100 Points) "VEC" manufactures batches of erasers by blending three ingredients: a dried mixture, a wet mixture, and a bonding agent and the information about the ingredients (per ounce) is shown below. Ingredient Dry Mix Volume Flexibility Durability Cost 35 1/4 oz. 0 150 Wet Mix 50 3/8 oz. 10 400 .20 1 oz. 1 1 50 Bonding Agent The company needs to develop a linear programming model whose solution would tell them how many ounces of each ingredient to put into the eraser blend. Each batch of erasers produced must fit in a box that can hold up to 1 pound (16 oz.). The blend should contain no more than 1000 parts of Durability and it must have exactly 25 parts of flexibility. The eraser mixture must follow the following requirements: Dry mix must be at least 20% of the total mixture, and the wet mix should be no more than 15% of the total mixture, and the bonding agent needs to be exactly 50% of the mix. Formulate an LP (do not solve) which would determine the best production mix for "VEC" Show all four steps and standardize all constraints. Please Type Your Answer Below. STEP 1: STEP 2: STEP 3: STEP 4: YOU are the Eraser Production Manager. In a memo to the V.P. of Operations. Mr. Mouse, provide an opinion about this problem and make two decisions pertaining to the mixture used in the production of erasers. Justify each decision with a brief explanation as to why. Your answer needs to be at least 10 good sentences. Please Type Your Answer Below. Dear Mr. Mickey Mouse (your boss)