This guide is designed to help you prepare for Test $1.$ It provides an overview of the questions and expected answers for each question. The information about how to access the questions online, timing, etc. are given in the course outline $($also$,$ no question on Excel Solver in the Test $1).$

Question $1$: Diet Problem $(15\%)$

Expected Answer: Formulate the objective function and constraints to minimize cost while meeting nutritional requirements.

Question $2$: Blending Problem $(15\%)$

Objective: Maximize profit from selling two types of drinks.

Expected Answer: Formulate the objective function and constraints to maximize profit.

Question $3$: Surprise Problem $(20\%)($hint: you need to do some more thinking for solving this problem; it may be better you solve other problems first and get back to this problem as the last question$).$

Expected Answer: Formulate the objective function and constraints to maximize profit.

Question $4$: Scheduling Problem $(15\%)$

Expected Answer: Formulate the objective function and constraints to minimize the number of students needed.

Question $5$: Graphical Solution $(15\%)$

Expected Answer: Draw the feasible region, identify corner points, and determine the optimal solution and objective function value for the given model.

Question $6$: Graphical Solution $+$ Sensitivity Analysis $(20\%)$

Expected Answer: Solve the model graphically for the given objective function and constraints. Determine the optimal solution and objective function value.

Part $($b$)$: Evaluate the impact of changing the objective function, according to the given scenario.

Part $($c$)$: Evaluate the impact of changing a constraint, according to the given scenario.