☑ 10:14 C ZOOM ·4° Formulation Quiz Diet The Whole Food Nutrition Center uses three bulk grains to blend a natural cereal that it sells by the pound. The cost of each bulk grain and the protein, riboflavin, phosphorus, and magne- sium units per pound of each are shown in Table 8.5. On the packaging for each of its products, Whole Food indicates the nutritional content in each bowl of cereal when eaten with 0.5 cup of milk. The USRDA (U.S. Recommended Dietary Allowance) and the more recent DRI (Dietary Reference Intake) were consulted to establish recommended amounts of certain vitamins and minerals for an average adult. Based on these figures and the desired amounts for labeling on the package, Whole Food has determined that each 2-ounce serving of the cereal should contain 3 units of protein, 2 units of riboflavin, 1 unit of phosphorous, and 0.425 units of magnesium. TABLE 8.5 Whole Food's Natural Cereal Requirements COST PER POUND GRAIN (CENTS) PROTEIN (UNITS/LB) 33 22 RIBOFLAVIN (UNITS/LB) 16 PHOSPHORUS (UNITS/LB) MAGNESIUM (UNITS/LB) B 47 28 14 21 25 Formulate this as a linear program to find the amount of grains to be mixed to create one 2- ounce serving of the natural cereal. 7

☑ 10:14 C ZOOM ·4° Formulation Quiz Diet The Whole Food Nutrition Center uses three bulk grains to blend a natural cereal that it sells by the pound. The cost of each bulk grain and the protein, riboflavin, phosphorus, and magne- sium units per pound of each are shown in Table 8.5. On the packaging for each of its products, Whole Food indicates the nutritional content in each bowl of cereal when eaten with 0.5 cup of milk. The USRDA (U.S. Recommended Dietary Allowance) and the more recent DRI (Dietary Reference Intake) were consulted to establish recommended amounts of certain vitamins and minerals for an average adult. Based on these figures and the desired amounts for labeling on the package, Whole Food has determined that each 2-ounce serving of the cereal should contain 3 units of protein, 2 units of riboflavin, 1 unit of phosphorous, and 0.425 units of magnesium. TABLE 8.5 Whole Food's Natural Cereal Requirements COST PER POUND GRAIN (CENTS) PROTEIN (UNITS/LB) 33 22 RIBOFLAVIN (UNITS/LB) 16 PHOSPHORUS (UNITS/LB) MAGNESIUM (UNITS/LB) B 47 28 14 21 25 Formulate this as a linear program to find the amount of grains to be mixed to create one 2- ounce serving of the natural cereal. 7

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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