A Productivity Model at the Handy Gadget Company Is $P = 15,000 x ^ { 0.1 } y ^ { 0.9 }$

A productivity model at the Handy Gadget Company is
$P = 15,000 x ^ { 0.1 } y ^ { 0.9 }$
where P is the number of gadgets the company turns out per month, x is the number of employees at the company, and y is the monthly operating budget in thousands of dollars. Because the company hires part - time workers, it uses anywhere between 43 and 53 workers each month, and its operating budget varies from $13,000 to $17,000 per month. What is the average of the possible numbers gadgets it can turn out per month (Round the answer to the nearest 1,000 gadgets.)

Please enter your answer as a number without the units.

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