Solve the problem. Suppose a business can sell x gadgets for p = 250 -0.01x dollars apiece, and it costs the business c(x)-1000+ 25x dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit. O 10,000 gadgets at $150.00 each O 111 gadgets at $248.89 each O 13,750 gadgets at $112.50 each O 12.250 gadgets at $127.50 each O None of the other choices

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 14E
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Question 3
Solve the problem.
Suppose a business can sell x gadgets for p = 250 -0.01x dollars apiece, and it costs the business c(x)-1000+ 25x dollars to
produce the x gadgets. Determine the production level and cost per gadget required to maximize profit.
O 10,000 gadgets at $150.00 each
O 111 gadgets at $248.89 each
O 13,750 gadgets at $112.50 each
O 12.250 gadgets at $127.50 each
O None of the other choices
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Transcribed Image Text:Question 3 Solve the problem. Suppose a business can sell x gadgets for p = 250 -0.01x dollars apiece, and it costs the business c(x)-1000+ 25x dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit. O 10,000 gadgets at $150.00 each O 111 gadgets at $248.89 each O 13,750 gadgets at $112.50 each O 12.250 gadgets at $127.50 each O None of the other choices Previous Next >
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