Every night you make sandwiches and every morning you deliver them to a deli ? You make 2 types of sandwiches ? Each type of sandwich takes ingredients as follows: Turkey Club .6 lb turkey .3 lb turkey .2 lb bacon .4 lb bread .5 lb bread You have 21 lb of turkey, 5 lbs of bacon, and 20 lb of bread ? The deli pays you $4 for each turkey sandwich and $3 for each club sandwich
Going back to the sandwich problem we did in class, suppose you decided it was more reasonable to maximize profit rather than revenue. Suppose it costs you $2 in materials for each turkey sandwich and $2 in materials for each club sandwich.
a) Will the decision variables change? Either give the new decision variables or state why they don’t change. (Note: we are not asking for the VALUE, but whether the DVs stay T and C).
b) Will the objective function change? If so give the new objective function. If not, explain why it does not change.
c) Will the constraints change? If so, give the new constraints. If not, explain why they do not change.
d) Solve this new problem graphically. To get full credit for this problem you must:
1) Graph the constraints and find the feasible region.
2) Graph TWO objective function lines and determine the appropriate direction to move your straightedge.
3) Determine what your optimal solution is on the graph.
4) Determine the binding constraints.
5) Use the binding constraints to determine the optimal solution (i.e., the values of your decision variables.)
6) Determine the value of the maximum profit.
7) Is your answer for this problem the same as the one we got in class? Explain why it is or it is not. 8) What will be the slack or surplus for the binding constraints? 9) What is the slack or surplus for the remaining constraints, if any.