Numerical Methods and Optimization

Introduction to Linear Programming 231

Romerlot, $600 per barrel. Romeo Winery has 9,000 pounds of Merlot

and 5,000 pounds of Cabernet Sauvignon available. Formulate an LP

model aiming to maximize the winery’s profit. Solve the LP graphically.

10.2. O&M Painters produce orange and maroon paints by mixing the so-

called primary red, yellow, and blue paint colors. The proportions of red,

yellow, and blue paints used to get the required shades are 50%, 40%,

and 10%, respectively for orange, and 60%, 10%, and 30%, respectively

for maroon. What is the maximum combined amount of orange and

maroon paints that O&M Painters can produce, given that they have

6 gallons of red paint, 4 gallons of yellow paint, and 1.8 gallons of blue

paint available for mixing?