Linear Programming:

• Give the constraints and objective function for a "real world" linear programming problem. Write each inequality as an equation with a slack variable and give the simplex tableau.


• Determine the solution to a maximization problem from the final tableau.


• Set up and solve a maximization linear programming problem.


• Obtain the dual maximization problem for a given minimization problem.


• Determine the solution to a minimization problem from the final tableau for the dual problem.


• Apply the understanding developed in the linear programming computer lab activity.

Revenue, Cost and Profit:

• Determine the maximum revenue or profit and for what value it occurs.


• Determine break even points; use the quadratic formula to do so if necessary.


• Determine fixed and marginal costs.


• Find marginal profit or revenue for the nth unit.


• Determine the profit function from the revenue and cost functions. Determine the revenue function from the price function.

Functions:

• Determine the output of a function for a given input and vice versa. Do this from either the equation of a function or the graph of a function.


• From the graph of a function, give the intervals where the function is increasing/decreasing, positive/negative.


• Determine the values and locations of all relative/absolute minima and maxima of a function.


• Do the above two things for a quadratic function, from its equation.


• Determine the average rate of change of a function, from either an equation or a graph. When doing this in an applied situation, give correct units with your answer.

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