A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs $2.40 per gailon, and milk from dairy Il costs $0.80per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 55 gallons averaging 3.7% butterfat, and dairy I can supply at most 90 gallons averaging 2.9%butterfat. The company can buy at most 100 gallons of milk. Answer parts a and ba. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount of butterfat?The company should buy galons from dairy I and gallons from dairyWhat is the maximum amount of butterfat?gallons(Type an integer or a decimal.)b. The solution from part a leaves both dairy I and dairy II with excess capacity Calculate the amount of additional milk each dairy could produceThe excess capacity of dairy 1 isgallons, and for dairy it it isgallonsIs there any way all this capacity could be used while still meeting the other constraints? ExplainOA. Yes, 15 more gallons can be bought from dairy 1 without going over budget.OB. Yes, 15 more gallons can be bought from dairy 1 without going over budget.OC. No. Any more milk purchased from either dairy will go over budget.OD. Yes, 15 more gallons can be bought from dairy 1 and 30 more from dairy 1l without going over budget.

Given data is Butterfat from dairy 1 = 3.7% Butterfat from dairy 2 = 2.9% Cost of milk from dairy 1…

A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Mik from dairy I costs $2.40 per gailon, and milk from dairy il costs $0.80 per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 55 gallons averaging 3.7% butterfat, and dairy Il can supply at most 90 gallons averaging 2.9% butterfat. The company can buy at most 100 gallons of milk. Answer parts a and b a. How much milk from each supplier should the company buy to get at most 100 galions of milk with the maximum amount of butterat? The company should buy galons from dairy 1 and gallons from dairy What is the maximum amount of buttertat? gallons (Type an integer or a decimal.) b. The solution from part a leaves both dairy I and dairy Il with excess capacity Calculate the amount of additional milk each dairy could produce The excess capacity of dairy 1 isgallons, and for dairy it it is allons Is there any way all this capacity could be used while still meeting the other constraints? Explain OA. Yes, 15 more gallons can be bought from dairy 1 without going over budget. OB. Yes, 15 more gallons can be bought from dairy 1 without going over budget. OC. No. Any more milk purchased from either dairy will go over budget OD. Yes, 15 more gallons can be bought from dairy 1 and 30 more from dairy I without going over budget.

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 51P