Answer each of the 3 questions and please show your work

Question 1 Product mix consider the following information. Product Price Material Weekly Labor Requirements (minutes) Cost Demand Work A B Center C A 35 23 90 Availability B 30 20 60 1 10 8 8 2100 C 28 15 65 2 12 7 0 1050 Operating cost = $600 3 10 10 10 2150 What is the optimal product mix and profit for this firm?Question 2 Consider the information given in the following table where s1 is a good state and s; a bad state. States of Natu re Decision Alternatives s1 32 d1 20 10 d2 25 6 d3 22 7 d,1 15 11 d5 30 -2 Determine the best alternative using a} The maximax criterion 13) The maximin criterion 0} The minimax regret criterion (1) The expected value criterion ifp(3;) =05 and p(32)=0.5 e} Calculate the expected value of perfect information Question 3 Magnatree is a large company that has been working on a new product. This product has tremendous potential, but Magnatree must move quickly. They have decided that they will introduce the product in two months and have already started developing their advertising campaign. They are sure that the product will be a success, with a possibility that it will be a huge success. They recently found out that another company, Shadycorp, has some unique expertise that could signicantly improve the new product. They contacted them and Shadycorp offered to sell their expertise to Magnatree for $5 million. Magnatree needs to make an immediate decision on Shadycorp's offer or it will be too late to investigate the use of the expertise in design of the new product. Without the expertise Magnatree has a 20% chance of making the new product a huge success. With Shadycorp's expertise there will be a 40% chance of the new product being a huge success. If the new product is a huge success, the net present value of its future profits is expected to be $50 million. If it is merely a success, the net present value of its future prots is expected to be $20 million. Should Magnatree accept Shadycorp's offer