Question: Pullman Farm Supply has just received an order for precisely 10,000 pounds of chicken feed. The farmer has specified that the feed meet minimum percentage
Pullman Farm Supply has just received an order for precisely 10,000 pounds of chicken feed. The farmer has specified that the feed meet minimum percentage requirements for protein, carbohydrate, fat and vitamins. Pullman Farm can blend four different feeds to produce the required mix. The farmer would like to pay the lowest possible price for the feed. The data for the problem is summarized in the following table. Note that the numbers in the table (except for the costs) are percentages, that is, Feed 1 is 15% protein, and the final mix must be at least 18% protein.
| Nutrient | Feed 1 | Feed 2 | Feed 3 | Feed 4 | Minimum Required % in Mix |
| Protein | 15 | 12 | 32 | 13 | 18 |
| Carbohydrate | 20 | 18 | 9 | 14 | 12 |
| Fat | 17 | 21 | 16 | 19 | 21 |
| Vitamin | 1 | 1 | 0.75 | 0.5 | 2 |
| Cost/1,000 lbs | $520 | $600 | $550 | $450 |
Let Xi = pounds (NOT thousands of pounds) of feed i used in the mixture.
Formulate the complete linear program for this problem. Then answer the questions below.
What is the coefficient of X3 in the objective function?
What is the coefficient of X1 in the protein constraint?
What is the RHS of the carbohydrate constraint?
What is the coefficient of X4 in the vitamin constraint?
What is the correct equality/inequality sign for the protein constraint constraint (enter = or <= or >=) ?
What is the correct equality/inequality sign for the order size constraint (enter = or <= or >=) ?
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
