The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by the main office can be approximated by T(x, y) x 4 16y 4 32xy 40, where x represents how many thousands of dollars the factory spends on quality control and y represents how many thousands of dollars t...

Use substitution to solve the system of equations The critical points are 0 0 ...

The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota

Question:

The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by the main office can be approximated by T(x, y) = x⁴ + 16y⁴ - 32xy + 40, where x represents how many thousands of dollars the factory spends on quality control and y represents how many thousands of dollars they spend on consulting. Find the amount of money they should spend on quality control and on consulting to minimize the time spent, and find the minimum number of hours.

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