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A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below. What blend of foods satisfied the requirement at minimum cost to the pharmacy? Make a mathematical model for the given problem.

User Basbase
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Answer:

A local manufacturing firm produces four different metal products, each of which must be machined, polished and assembled. The specific time requirements (in hours) for each product are as follows:

Machining, hours Polishing, hours Assembling, hours

Product I 3 1 2

Product II 2 1 1

Product III 2 2 2

Product IV 4 3 1

The firm has available to it on weekly basis, 480 hours of machining time, 400 hours of polishing time and 400 hours of assembling time. The unit profits on the product

are Birr 360, Birr 240, Birr 360 and Birr 480, respectively. The firm has a contract with a distributor to provide 50 units of product I, and 100 units of any combination of products II and III each week. Through other customers the firm can sell each week as many units of products I, II and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Make a mathematical model for the given problem. Assume that any unfinished pieces can be finished the following week.explanation:

Explanation:

User Kthompso
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