Please Show Work with Calculations lettters (A-C)

3-25 Brilliant Color is a small supplier of chemicals and equipment that are used by some photographic stores to process 35mm film. One product that Bril- liant Color supplies is BC-6. John Kubick, president of Brilliant Color, normally stocks 11, 12, or 13 cases of BC-6 each week. For each case that John sells, he receives a profit of $35. Like many photo- graphic chemicals, BC-6 has a very short shelf life so if a case is noi sold by the end of the week, John must discard it. Sice each case costs John $56, he loses $56 for every case that is not sold by the end of the week. There is probability of 0.45 of selling 11 cases, a probability of 0.35 of selling 12 cases, and a probability of 0.2 of selling 13 cases. (a) Construct a decision table for this problem. In- clude all conditional values and probabilities in the table. (b) What is your recommended course of action? (c) If John is able to develop BC-6 with an ingredi- ent that stabilizes it so that it no longer has to be discarded, how would this change your recom mended course of action