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Ba 240 please answer 1-3 and show the work

1. The revenue from selling $x$ items is $R(x)=500x?x_{2}$, and the total $cost$ is $C(x)=150+10x$. Write a function that gives the total profit eamed, and find the quantity that maximizes the profit. 2. A producer's marginal cost is $MC=0.75x_{2}?x+400$. What is the total cost $TC$ of producing 3 extra units if 5 units are currently being produced? 3. A firm's marginal revenue is $MR=1000?2x?1.5x_{2}$. Find the total revenue $TR$.

The given revenue function isR(x)=500x?x2and total cost function is C(x)=150+10xsince profit is defined as Total profit=revenue - costP(x)=R(x)?C(x)=5

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