Nutrition—-Dairy Cows A dairy farmer concludes that his small herd of cows will need at least 4550 pounds of protein in their winter feed, at least 26,880 pounds of total digestible nutrients (TDN), and at least 43,200 international units (IUs) of vitamin A. Each pound of alfalfa hay provides .13 pound of protein, .48 pound of TDN, and 2.16 IUs of vitamin A. Each pound of ground ears of corn supplies .065 pound of protein, .96 pound of TDN, and no vitamin A. Alfalfa hay costs $8 per 100-pound sack. Ground ears of corn costs $13 per 100-pound sack.
(a) Fill in the following chart:
Alfalfa |
Corn |
Requirements |
|
Protein TDN Vitamin A |
|||
Cost/lb |
(b) Let x be the number of denim jackets made each day. Let y be the number of hooded fleece jackets made each day. Refer to the chart, and give three inequalities that x and y must satisfy due to the available labor hours.
(c) Give other requirements that x and y must satisfy.
(d) Find the total profit in making x denim jackets and y hooded fleece jackets.
(e) Graph the feasible set for the clothing problem
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Finite Mathematics & Its Applications (12th Edition)
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning