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Maximum Profit A corporation manufactures digital cameras at two locations. The cost of producing x, units at location 1 is C, = 0.05x² + 15x, + 5400 and the cost of producing x, units at location 2 is C, = 0.03x3 + 15x, + 6100. The digital cameras sell for $180 per unit. Find the quantity that should be produced at each location to maximize the profit P = 180(x, + x,) – C, – C,. -

Maximum Profit A corporation manufactures digital cameras at two locations. The cost of producing x, units at location 1 is C, = 0.05x² + 15x, + 5400 and the cost of producing x, units at location 2 is C, = 0.03x3 + 15x, + 6100. The digital cameras sell for $180 per unit. Find the quantity that should be produced at each location to maximize the profit P = 180(x, + x,) – C, – C,. -

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 25RE
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Maximum Profit A corporation manufactures digital cameras at two locations. The cost of producing x, units at location 1 is C, = 0.05x² + 15x, + 5400 and the cost of producing x, units at location 2 is C, = 0.03x3 + 15x, + 6100. The digital cameras sell for $180 per unit. Find the quantity that should be produced at each location to maximize the profit P = 180(x, + x,) – C, – C,. -
Transcribed Image Text:Maximum Profit A corporation manufactures digital cameras at two locations. The cost of producing x, units at location 1 is C, = 0.05x² + 15x, + 5400 and the cost of producing x, units at location 2 is C, = 0.03x3 + 15x, + 6100. The digital cameras sell for $180 per unit. Find the quantity that should be produced at each location to maximize the profit P = 180(x, + x,) – C, – C,. -
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