Question

of carbohydrates in the salad should be maximized. In addi- tion, the salad should have less than 260 calories, over 210 milligrams of calcium, and over 6 grams of protein. The salad should also weigh less than 400 grams and be dressed with at least 2 tablespoons ( cup) of salad dressing. The amounts of the nutrients and calories for these ingredients are given in Table 3 Nutritional Values per 100 g of Food Table 3 Salad Feta Lettuce Dressing Nutrient (units) Cheese Tomato Calories (kcal) 448.8 21 263 14 Calcium (mg) 5 492.5 36 Protein (g) 0 10.33 1.62 85 2.37 2.5 4.64 Carbohydrates (g) 4.09 Use linear programming to find the number of 100-gram units of each ingredient in such a Greek salad, and convert to kitchen units by using Table 1. (Hint: Since the ingredients are meas- ured in 100-gram units, the constant in the weight contraint is 4, not 400.)

Answer 1

each Conttituent Selk IDO S amount anbohy drater Max imin Naxima t 2.37 x,+?5 X, + 4 65 x nutrients and Calories for Th amount Tiven asingradient ane Salad feta To mato Lettua Nutoueat (unit) Drем g chee х, 448.8 263 Caleries (k cal) 36 H92.5 Calcium (j) O.8S T:6 2 ID 33 Protein () 2.37 H09 Carbatydutu (s)

Condiaint e c 260 kcal to tal Calories 2607 Calaum to tal > 210 proteinm > 6 62 « 2 + D.85 X3 o 33 Total Salad wetyh <400 Z4 DD х, + X, +\; +X, <h 2 An Salad desig duesingsojn dnasing Cup Salad Cap Salod 8 250 8 2 O,3125 , =. 263 2 yolving 2.040 O31 25 384 2 chees Feta 2 6 3 2gm +IOD o.263 2 mats (+) O1732 Cups Senving 38 Cp s

Lettua mas -2DH X IOD 2 Cup Servig 20k 3. b4 Cups 2 8 Sa lad Drsing 31 25 9m O 31 2 SXI OD mais /s Cups 31.25/250 Sewing Tomato 138.H 2 jm 3 8 4 2 X IOD mars tomatoes 13 8,4 2 2 S Serving 1 2 3