Involve "Cobb-Douglas" productivity functions. These functions have the form
$$
P(x, y)=K x^{a} y^{1-a}
$$
where P stands for the number of items produced per year, $x$ is the number of employees, and $y$ is the annual operating budget. (The numbers $K$ and a are constants that depend on the situation we are looking $a t$, with $0 \leq a \leq 1 .)$
Productivity How many items will be produced per year by a company with 100 employees and an annual operating budget of $\$ 500,000$ if $K=1,000$ and $a=0.5 ?$ (Round your answer to one significant digit.)