PLUS Session (Optimization Problems)Directions: For the next 30 minutes, work together in groups (3-4) on the following problems/questions. Afterwards, each group will present their solutions and answer questions relating to the correct answers. Everyone must work together! GOOD LUCK! Strategies Toward Solving Optimization Problems:Step 1:Draw a representative figure and assign labels to the relevant quantities.A.Draw Step 2:Identify the quantity to be maximized or minimized and a find a formula for it. A.Given specifics, create formulaB.Find desired formulaStep 3:Express the quantity to be maximized or minimized in terms of a single variable; use the conditions given in the problem to eliminate the other variable(s).A.Reduce given formula to a function of one variable and substitute into desired formula. Step 4:Determine the domain of the function generated by Step 3.A.What interval must x lie in? Step 5:Apply the techniques of the preceding sections to find the extreme value(s).