6. A farmer wants to start growing broiler chickens on his farm. he realizes that he needs to start with 8000 birds. Each bird will feed a ratio of 8:20: 4 respective of their starter, grower and finisher. the price of starter is k570, grower 525 and finisher 490 per bag. assuming the birds will have a mortality survival of 90% and the total cost of the business is 20% the revenues generated from the sales of birds at k90 each. a. calculates the profit b. given the profit function of 20x-xy-1.5y^2+25y, calculate the profit c. compare the two profits calculated above and give a management decision of the farm

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section7.3: Pricing Models
Problem 1P
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6. A farmer wants to start growing broiler chickens on his farm. he realizes that he needs to start with 8000 birds. Each bird will feed a ratio of 8:20: 4 respective of their starter, grower and finisher. the price of starter is k570, grower 525 and finisher 490 per bag. assuming the birds will have a mortality survival of 90% and the total cost of the business is 20% the revenues generated from the sales of birds at k90 each.
a. calculates the profit
b. given the profit function of 20x-xy-1.5y^2+25y, calculate the profit
c. compare the two profits calculated above and give a management decision of the farm

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