The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t) is the number of stores and S(t) is average revenue per store per month. Couture embarks on a two-part campaign: to build new stores at a rate of 5 stores per month and to use advertising to increase average revenue per store at a rate of $10,000 per month. Assume that N(0) = 50 and S(0) = $150,000. Compute the total revenue increase. (Use symbolic notation and fractions where needed. Write S(t) as S and N(t) as N.) dR dt Calculate Iı=0* dR| (Give your answer as a whole or exact number.) dR dt \t=0 II

The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t) is the number of stores and S(t) is average revenue per store per month. Couture embarks on a two-part campaign: to build new stores at a rate of 5 stores per month and to use advertising to increase average revenue per store at a rate of $10,000 per month. Assume that N(0) = 50 and S(0) = $150,000. Compute the total revenue increase. (Use symbolic notation and fractions where needed. Write S(t) as S and N(t) as N.) dR dt Calculate Iı=0* dR| (Give your answer as a whole or exact number.) dR dt \t=0 II