A bicycle manufacturer makes mountain bikes and road bikes. Each mountain bike requires 2 units of steel and 6 units of aluminum in its frame and 12 special components for the hub, sprocket, and gear assembly. Each road bike requires 5 units each of steel and aluminum for its frame and 5 of the special components. Shipments are such that steel is limited to 114 units per day, aluminum is limited to 142 units per day, and the special components are limited to 214 units per day. If the profits are $500 on each mountain bike and $400 on each road bike, how many of each should be produced to yield the maximum profit?
A bicycle manufacturer makes mountain bikes and road bikes. Each mountain bike requires 2 units of steel and 6 units of aluminum in its frame and 12 special components for the hub, sprocket, and gear assembly. Each road bike requires 5 units each of steel and aluminum for its frame and 5 of the special components. Shipments are such that steel is limited to 114 units per day, aluminum is limited to 142 units per day, and the special components are limited to 214 units per day. If the profits are $500 on each mountain bike and $400 on each road bike, how many of each should be produced to yield the maximum profit?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
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A bicycle manufacturer makes mountain bikes and road bikes. Each mountain bike requires 2 units of steel and 6 units of aluminum in its frame and 12 special components for the hub, sprocket, and gear assembly. Each road bike requires 5 units each of steel and aluminum for its frame and 5 of the special components. Shipments are such that steel is limited to 114 units per day, aluminum is limited to 142 units per day, and the special components are limited to 214 units per day. If the profits are $500 on each mountain bike and $400 on each road bike, how many of each should be produced to yield the maximum profit?
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