ORE360S (Operations Research) Tutorial 1 (Supp) Due: 27 May 2022 at 23h59 (Blackboard) PLEASE NOTE: All solutions, including graphs, must be handwritten and scanned to PDF. QUESTION 1 [25] Hal has enough clay to make 24 small vases or 6 large vases. In other words, the large vases require 4 times the amount of clay as the small ones. He only has enough of a special glazing compound to glaze 16 of the small vases or 8 of the large vases. Let X = the number of small vases and X = the number of large vases. The smaller vases sell for $3 each, while the larger vases would bring $9 each. (a) Formulate the problem. (b) Solve graphically. QUESTION 2 [25] A fabric firm has received an order for cloth specified to contain at least 45 kg of cotton and 25 kg of silk. The cloth can be woven out on any suitable mix of two yarns, A and B. Material A costs $3 per kg, and B costs $2 per kg. They contain the following percentages of cotton and silk (by weight): Yarn Cotton (%) Silk (%) 50 A 30 B 60 10 What quantities (kg) of A and B yarns should be used to minimize the cost of this order