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The monthly cost, in hundredshundreds 1. Find the revenue function R(x)=xp(x)

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The monthly cost, in hundredshundreds 1. Find the revenue function R(x)=xp(x)
of dollars, to produce number of a certain medical equipment is C(x)=10x+1200, x>0 and its price demand function, in of dollars per equipment, is p(x)=150-2x, 0<x<75.

2. Find the profit function P(x)=R(x)-C(x)

3. Find the number of equipment X that need to be sold each month for maximum profit.

4. Find the maximum profit for any month.

5. Find the price that should be charged for maximum profit.

 
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