Applications: Integration
Integration: Step 1/2
A factory selling laptops has a marginal cost function \[C(x)=0.02\cdot x^2-3\cdot x+113\]where, #x# is the number of laptops made and #C# is the marginal costs in euros. The marginal costs represent the increase in costs for an extra unit made.
The marginal revenue function is given by \[R(x)=513-x\] where #x# is the number of laptops sold and #R# is the marginal revenue in euros. The marginal revenue depicts the increase in revenue for an extra unit sold. The marginal revenue curve decreases because as a company increases the quantity of a product it sells, it typically has to lower the price in order to sell more units.
Calculate the area between the two graphs and #x=0#. Give your answer in two decimals precise.
The marginal revenue function is given by \[R(x)=513-x\] where #x# is the number of laptops sold and #R# is the marginal revenue in euros. The marginal revenue depicts the increase in revenue for an extra unit sold. The marginal revenue curve decreases because as a company increases the quantity of a product it sells, it typically has to lower the price in order to sell more units.
Calculate the area between the two graphs and #x=0#. Give your answer in two decimals precise.
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