nSilver Paints manufactures paints products. Their best selling colors in the outdoor paints category are Grey, Beige & Black.  The capacity at the plant is 200 paint containers per week. nThe 3 best selling colors use the same basic raw materials but require different ratios of additives. nGrey requires 4 gallons of additive A and 2 gallon of additive B per container, nBeige requires 2 gallons of additive A and 2 gallons of additive B per container, nBlack requires 2 gallon of additive A and 1 gallons of additive B per container. nThe supply of both of these additives is quite limited. Each week, this product line is allocated only 550 gallons of additive A per week and 380 gallons of additive B. nThe profit margin of each product: Grey $75, Beige $73, Black $70 Question: How many of each of the 3 colors should be produced each week?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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nSilver Paints manufactures paints products. Their best selling colors in the outdoor paints category are Grey, Beige & Black.  The capacity at the plant is 200 paint containers per week.

nThe 3 best selling colors use the same basic raw materials but require different ratios of additives.

nGrey requires 4 gallons of additive A and 2 gallon of additive B per container,

nBeige requires 2 gallons of additive A and 2 gallons of additive B per container,

nBlack requires 2 gallon of additive A and 1 gallons of additive B per container.

nThe supply of both of these additives is quite limited. Each week, this product line is allocated only 550 gallons of additive A per week and 380 gallons of additive B.

nThe profit margin of each product: Grey $75, Beige $73, Black $70

Question: How many of each of the 3 colors should be produced each week?

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