Problems:
Problems:
1. Graphical Solution
A graphical representation of a linear program is shown below. The shaded area represents the feasible region, and the dashed line in the middle is the slope of the objective function.
If this is a maximization, which extreme point is the optimal solution?
a) B b) C c) D d) E
2. Optimal Solution I
Consider the following linear programming problem:
Max Z = $15x+$20y
Subject to : 8x+5y≤40
0.4x+y≥4
x,y≥0
Determine the maximum return based on the optimal solution
a) $80 b) $103.33 c) $160 d) $175
3. Determine the INFEASIBLE solution
The production manager for the Coory soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of her ingredients) limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. Which of the following is not a feasible production combination?
a) 90R and 75D b) 135R and 0D c) 75R and 90D d) 40R and 100D