For students whose Student ID's ending with odd numbers (1,3,5,7,9). Questlon 2: University Ceramics manufactures plates, mugs, and steins that include the campus name and logo for sale in campus bookstores. The time required for each item to go through the fwo stages of production (molding and finishing), the material required (clay) are given in the following table, along with the amount of each resource available in the upcoming production period. The manager, Garfield, has formulated an L.P in a spreadsheet to determine the production levels that would maximize profit. The final solution is given as follows. Please write your answer cin a separate "clean" paper in a professional manner, or points will be deducted! a. Suppose the profit per plate decreases to $2.80. Will the optimal solution change and why? What can be said about the change in total profit? b. What would the minimum unit profit of mug be so that Garficld would consider produciag mugs? c. Suppose Odie agrees to supply Garfield with any amount clay that he needs, i.e., the "clay" constraint on the formulation can be removed. What would be the effect of this removal of constraint on the optimal solution? Explain. d. Garfield is thinking of introducing vase to the market, which is estimated to generate profit of $2 per gallon sold. Producing a vase requires 5 minutes in molding, 6 minutes in finishing, and 10 ounces of clay. Should Garfield introduce vase to the market? Explain