Maximum Profit Using Linear Programming
Kite 'N String manufacture old-fashioned diagonal and box kites from high-strength paper and wood. Each diagonal kite nets the company a $3 profit, requires 8 square feet of paper and 5 feet of wood. Each box kite nets $5, requires 6 square feet of paper and 10 feet of wood. Each kite is packaged in similar containers. This week Kite 'N String have 1500 containers, 10000 square feet of paper and 12000 feet of wood.
a) How many of each type should Kite 'N String make to maximize profit? What is the maximum profit?
b) Which constraint(s) is/are binding?
c) If an additional 2000 square feet of paper is available, how many of each type to make to maximize profit? What is the maximum profit?
d) Which constraint(s) is/are binding for part 3?