Question: Please formulate a linear programming model for the problem on paper with the work Xara Stores in the United States stocks a particular type of
Xara Stores in the United States stocks a particular type of designer denim jeans that is manufactured in China and Brazil and imported to the Xara distribution center in the United States. It orders 500 pairs of jeans each month from its two suppliers. The Chinese supplier charges Xara $11 per pair of jeans, and the Brazilian supplier charges \$16 per pair (and then Xara marks them up almost 1,000\%). Although the jeans from China are less expensive, they also have more defects than those from Brazil. Based on past data, Xara estimates that 7% of the Chinese jeans will be defective compared to only 2% from Brazil, and Xara do ss not want to import any more than 5% defective items. However, Xara does not want to rely only on a single supplier, so it wants to order at least 20% from each supplier every month. Formulate a linear programming model for this problem. 5 Problem A farmer plans to cultivate rice and wheat in his 200 acres of land. To get a decent profit, he has to use at least 150 acres of land. Per the environmental agency's recommendation, for each acre of rice, there must be at least 1.3 acres of wheat. But he cannot plant more than 100 acres of rice and 150 acres of wheat. An acre of rice would get him a profit of 21.3 lakhs and wheat, lakh. The farmer wants to know how many acres of land he needs to cultivate rice and wheat to maximize his profit. a. Formulate a linear programming model. b. Solve the model graphically
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
