The manufacturing cost of a smartphone is approximated by M(r, y) = 45x + 40y - 20ry+ 50 where x is the cost of the parts and y is the cost of the labor. Right now, the company spends $9 on parts and $15 on labor. Use differentials to approximate the change in cost if the company decreases the cost of parts by $0.13 and increases the cost of labor by $0.23. Round your answer to two decimal places.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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The manufacturing cost of a smartphone is approximated by
M(x, y) = 45x + 40y
? –
20xy + 50
where x is the cost of the parts and y is the cost of the labor.
Right now, the company spends $9 on parts and $15 on labor. Use differentials to approximate the
change in cost if the company decreases the cost of parts by $0.13 and increases the cost of labor by
$0.23.
Round your answer to two decimal places.
Transcribed Image Text:The manufacturing cost of a smartphone is approximated by M(x, y) = 45x + 40y ? – 20xy + 50 where x is the cost of the parts and y is the cost of the labor. Right now, the company spends $9 on parts and $15 on labor. Use differentials to approximate the change in cost if the company decreases the cost of parts by $0.13 and increases the cost of labor by $0.23. Round your answer to two decimal places.
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