Question

Jumpin’ Java produces regular and decaf coffees, with brand names of Rancho and Plainsman, respectively. Rancho provides a profit of $4.55 per pound, while Plainsman provides a profit of $5.04 per pound. To make one pound of finished Rancho requires 1.04 pounds of raw beans, while Plainsman requires 1.13 pounds. In addition, a pound of Rancho takes 0.04 hours of labor to produce, and a pound of Plainsman takes 0.055 hours. If 1250 pounds of beans, and 35 hours of production time are available, how many pounds of Rancho and Plainsman should be produced to maximize profit?

Formulate (DO NOT ATTEMPT TO SOLVE) a linear program to answer the question.

  

1. (8 pts.) Objective function:

2. (4 pts.) Decision variables:

3. (8 pts.) Constraints:

Answer 1