Equilibrium wage for plumbers in factor market

Equilibrium wage for plumbers in factor market Macroeconomics
On a proportional basis, there are too many Negroes and too few Jews among professional athletes. This shows that sports has finally overcome racial prejudice, it has not overcome religious prejudice.” Comment.
You are the absolute czar and head of a union of 1,000 plumbers in Austin, Texas. You have the absolute power to set the wage at which the plumbers will work. The economist that you have hired tells you that the demand for plumbers in Austin is Q = 1,200 – 100W, where Q is the number of plumbers employed and W is their wage per hour. This demand function can also be written W = 12 – Q/100. If there are no other plumbers in Austin, what wage would you set if (a) you wished to achieve full employment at the highest possible wage; (b) you wished to maximize total payments to plumbers?

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