1) The Donnor meat processing firm produces wieners from four ingredients: chicken, beef, pork, and a cereal additive. The firm produces three types of wieners: regular, beef, and all-meat. The company has the following amounts of each ingredient available on a daily basis: Pounds/day Cost /Pound Chicken 300 50.20 Beef 300 50.30 Pork 150 $0.50 Cereal additive 400 $0.05 Each type of wiener has certain ingredient specifications, as follows: Specifications Selling Price/Pound Regular more than 20% beef and pork combined $0.95 Not less than 45% chicken No cereal additive Beef Not less than 75% beef 1.25 All-meat Not more than 60% beef chicken and pork combined |1.75 The firm wants to know how many pounds of wieners of each type to produce to maximize profits. Formulate a linear programming model for this problem, and solve the model. 2) SMU cafe is open from 8:00 a.m. to 10:00 p.m. daily. Besides the hours the restaurant is open for business, workers are needed an hour before opening and an hour after closing for setup and clean-up activities. The restaurant operates with full-time and part-time workers on the following shifts: Shift for all workers Daily pay rate ($) 7am - 11am 30 7am - 3pm 80 11am - 3pm 30 11am - 7pm 80 3pm - 7pm 40 3pm - 11pm 90 7pm - 11pm 30