For problems 1-4
a. Clearly label each axes and indicate a scale
b. Use graph paper and a ruler or straightedge, neatness counts
c. Identify each decision variable clearly if needed and clearly indicate the objective function and all constraints
d. Clearly draw the feasible region, indicate all corner points on the graph
e. Show that you have tested each corner point and state your final answer in a complete sentences
1) Solve the following linear programming problem graphically. Make sure you draw an appropriate region and indicate all corner points and determine the optimal value
Subject to:
2) Solve the following linear programming problem graphically. Make sure you draw an appropriate region and indicate all corner points and determine the optimal value
Subject to:
3) Soundex produces two models of satellite radios. Model A requires 15 min of work of Assembly Line I and 10 min of work on Assembly line II. Model B requires 10 minutes of work on Assembly Line I and 12 minutes of work on Assembly line II. At most 25 labor-hours of assembly time on Line I and 22 labor hours of assembly time on Line II are available each day. If is anticipated that Soundex will realize a profit of $12 on model A and $10 on model B. How many satellite radios of each model should be produced each day to maximize Soundex’s profit? What is the maximum profit?
4) Bata Aerobics manufactures two models of steppers used in aerobic exercises. Manufacturing each luxury model requires 10 lb. of plastic and 10 min. of labor. Manufacturing each standard model requires 16 lb. of plastic and 8 min of labor. The profit for each luxury model is $40 and the profit for each standard model is $30. If at most 6000 pounds of plastic and at most 3600 labor minutes are available for the production of the steppers per day, how many steppers of each model should Bata produce each day to maximize its profit? What is the optimal profit?