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A company determines that its marginal revenue per day is given by

$R^{\text{'}}(t)=\frac{e^{\mathrm{.}2t}}{20}$ with $R(0)=0$

where $R(t)$ is the total accumulated revenue, in dollars, on the $t-$th day when $0t20.$ The company's marginal cost per day is given by

$C^{\text{'}}(t)=50-t$ with $C(0)=200$

where $C(t)$ is the total accumulated cost, in dollars, on the $t-$th day when $0t20.$ Find $P(20).$