Answer Happy

Name Score To receive full credit, you must show all work and simplify all answers, whenever possible. Partial credit may be awarded based on the work shown. Please show all work on your own paper. 1. A special diet for laboratory animals is to contain at least 850 units of vitamins, 800 units of minerals, and 1,150 calories. There are two feed mixes available, mix A and mix B. A gram of mix A contains 2 units of vitamins, 2 units of minerals, and 4 calories. A gram of mix B contains 5 units of vitamins, 4 units of minerals, and 5 calories. a. Construct a mathematical model in the form of a linear program problem. b. If mix A costs $0.04 per gram and mix B costs $0.09 per gram, how many grams of each mix should be used to satisfy the requirements of the diet at minimal cost? What is the minimum cost? 2. A company manufactures three-speed, five-speed, and ten-speed bicycles. Each bicycle passes through three departments: fabrication, painting & plating, and final assembly. The relevant manufacturing data are given in the table below. Use The simplex method to solve the problem Fabrication Painting & Plating Final Assembly Profit per Bicycle Labor-Hours per Bicycle Three- Five- Ten- Speed Speed Speed 3 4 5 5 3 5 4 80 3 70 5 100 Maximum Labor-Hours Available per Day /20 120 130 120